Gao, Yang; Li, Chuanzhong \(q\)-universal characters and an extension of the lattice \(q\)-universal characters. (English. Russian original) Zbl 1471.81116 Theor. Math. Phys. 208, No. 1, 896-911 (2021); translation from Teor. Mat. Fiz. 208, No. 1, 51-68 (2021). MSC: 81V72 14D15 20C15 20G43 37K10 39A13 PDF BibTeX XML Cite \textit{Y. Gao} and \textit{C. Li}, Theor. Math. Phys. 208, No. 1, 896--911 (2021; Zbl 1471.81116); translation from Teor. Mat. Fiz. 208, No. 1, 51--68 (2021) Full Text: DOI OpenURL
Magnot, J.-P.; Roubtsov, V. N. On the Kadomtsev-Petviashvili hierarchy in an extended class of formal pseudo-differential operators. (English. Russian original) Zbl 1471.35351 Theor. Math. Phys. 207, No. 3, 799-826 (2021); translation from Teor. Mat. Fiz. 207, No. 3, 458-488 (2021). MSC: 35S05 37K10 53C15 53C26 PDF BibTeX XML Cite \textit{J. P. Magnot} and \textit{V. N. Roubtsov}, Theor. Math. Phys. 207, No. 3, 799--826 (2021; Zbl 1471.35351); translation from Teor. Mat. Fiz. 207, No. 3, 458--488 (2021) Full Text: DOI arXiv OpenURL
Zhang, Xiang Regularity and convergence of local first integrals of analytic differential systems. (English) Zbl 1481.37061 J. Differ. Equations 294, 40-59 (2021). Reviewer: Huang Kaiyin (Singapur) MSC: 37J35 37C10 37C27 34C14 34C05 PDF BibTeX XML Cite \textit{X. Zhang}, J. Differ. Equations 294, 40--59 (2021; Zbl 1481.37061) Full Text: DOI arXiv OpenURL
Vašíček, Jakub Symmetries and conservation laws for a generalization of Kawahara equation. (English) Zbl 07190545 J. Geom. Phys. 150, Article ID 103579, 6 p. (2020). MSC: 37K06 37K10 PDF BibTeX XML Cite \textit{J. Vašíček}, J. Geom. Phys. 150, Article ID 103579, 6 p. (2020; Zbl 07190545) Full Text: DOI arXiv OpenURL
Hernández Heredero, Rafael; Euler, Marianna; Euler, Norbert; Reyes, Enrique G. Compacton equations and integrability: the Rosenau-Hyman and Cooper-Shepard-Sodano equations. (English) Zbl 1431.37054 Discrete Contin. Dyn. Syst. 40, No. 1, 529-548 (2020). MSC: 37K10 37K06 35Q53 PDF BibTeX XML Cite \textit{R. Hernández Heredero} et al., Discrete Contin. Dyn. Syst. 40, No. 1, 529--548 (2020; Zbl 1431.37054) Full Text: DOI arXiv OpenURL
Milkovszki, Tamas; Muzsnay, Zoltan About the projective Finsler metrizability: first steps in the non-isotropic case. (English) Zbl 1453.53067 Balkan J. Geom. Appl. 24, No. 2, 25-41 (2019). MSC: 53C60 53C22 PDF BibTeX XML Cite \textit{T. Milkovszki} and \textit{Z. Muzsnay}, Balkan J. Geom. Appl. 24, No. 2, 25--41 (2019; Zbl 1453.53067) Full Text: arXiv Link OpenURL
Kozlov, V. V. Linear systems with quadratic integral and complete integrability of the Schrödinger equation. (English. Russian original) Zbl 1442.37079 Russ. Math. Surv. 74, No. 5, 959-961 (2019); translation from Usp. Mat. Nauk 74, No. 5, 189-190 (2019). Reviewer: Boris A. Malomed (Tel Aviv) MSC: 37K10 35Q55 35L05 PDF BibTeX XML Cite \textit{V. V. Kozlov}, Russ. Math. Surv. 74, No. 5, 959--961 (2019; Zbl 1442.37079); translation from Usp. Mat. Nauk 74, No. 5, 189--190 (2019) Full Text: DOI OpenURL
Helminck, G. F.; Poberezhny, V. A.; Polenkova, S. V. Strict versions of integrable hierarchies in pseudodifference operators and the related Cauchy problems. (English. Russian original) Zbl 1418.37111 Theor. Math. Phys. 198, No. 2, 197-214 (2019); translation from Teor. Mat. Fiz. 198, No. 2, 225-245 (2019). MSC: 37K10 47B39 46T30 14D15 PDF BibTeX XML Cite \textit{G. F. Helminck} et al., Theor. Math. Phys. 198, No. 2, 197--214 (2019; Zbl 1418.37111); translation from Teor. Mat. Fiz. 198, No. 2, 225--245 (2019) Full Text: DOI OpenURL
Ahangari, Fatemeh Construction of the holonomy invariant foliated cocycles on the tangent bundle via formal integrability. (English) Zbl 1415.58004 Turk. J. Math. 43, No. 1, 81-102 (2019). Reviewer: Savin Treanta (Bucharest) MSC: 58A30 PDF BibTeX XML Cite \textit{F. Ahangari}, Turk. J. Math. 43, No. 1, 81--102 (2019; Zbl 1415.58004) Full Text: DOI OpenURL
Blas, Harold; Callisaya, Hector Flores Quasi-integrability in deformed sine-Gordon models and infinite towers of conserved charges. (English) Zbl 1448.81301 Commun. Nonlinear Sci. Numer. Simul. 55, 105-126 (2018). MSC: 81Q05 81R20 14D15 35Q51 35Q55 35C08 81R05 81R12 81U15 PDF BibTeX XML Cite \textit{H. Blas} and \textit{H. F. Callisaya}, Commun. Nonlinear Sci. Numer. Simul. 55, 105--126 (2018; Zbl 1448.81301) Full Text: DOI arXiv OpenURL
Huang, Kaiyin; Shi, Shaoyun; Li, Wenlei Meromorphic and formal first integrals for the Lorenz system. (English) Zbl 1420.34004 J. Nonlinear Math. Phys. 25, No. 1, 106-121 (2018). MSC: 34A05 34C14 37C10 37J35 PDF BibTeX XML Cite \textit{K. Huang} et al., J. Nonlinear Math. Phys. 25, No. 1, 106--121 (2018; Zbl 1420.34004) Full Text: DOI OpenURL
Abhinav, Kumar; Guha, Partha; Mukherjee, Indranil Study of quasi-integrable and non-holonomic deformation of equations in the NLS and DNLS hierarchy. (English) Zbl 1402.35236 J. Math. Phys. 59, No. 10, 101507, 18 p. (2018). MSC: 35Q53 35Q55 14D15 37K10 37J60 PDF BibTeX XML Cite \textit{K. Abhinav} et al., J. Math. Phys. 59, No. 10, 101507, 18 p. (2018; Zbl 1402.35236) Full Text: DOI arXiv OpenURL
Tsarev, Sergey Petrovich; Stepanenko, Vitaly Anatolievich On weakly commutative triples of partial differential operators. (Russian. English summary) Zbl 1386.35374 Sib. Èlektron. Mat. Izv. 14, 1050-1063 (2017). MSC: 35Q53 37K10 12E15 PDF BibTeX XML Cite \textit{S. P. Tsarev} and \textit{V. A. Stepanenko}, Sib. Èlektron. Mat. Izv. 14, 1050--1063 (2017; Zbl 1386.35374) Full Text: DOI arXiv OpenURL
Arutyunov, Gleb; Heinze, Martin; Medina-Rincon, Daniel Superintegrability of geodesic motion on the sausage \(\mathrm{model}^{*}\). (English) Zbl 1369.81074 J. Phys. A, Math. Theor. 50, No. 24, Article ID 244002, 29 p. (2017). MSC: 81T20 81T40 14D15 81R12 81T30 70H05 53C22 PDF BibTeX XML Cite \textit{G. Arutyunov} et al., J. Phys. A, Math. Theor. 50, No. 24, Article ID 244002, 29 p. (2017; Zbl 1369.81074) Full Text: DOI OpenURL
Milkovszki, Tamás; Muzsnay, Zoltán On the projective Finsler metrizability and the integrability of Rapcsák equation. (English) Zbl 1458.53077 Czech. Math. J. 67, No. 2, 469-495 (2017). MSC: 53C60 49N45 53C22 58E30 PDF BibTeX XML Cite \textit{T. Milkovszki} and \textit{Z. Muzsnay}, Czech. Math. J. 67, No. 2, 469--495 (2017; Zbl 1458.53077) Full Text: DOI OpenURL
Gasull, Armengol; Giné, Jaume Integrability of Liénard systems with a weak saddle. (English) Zbl 1379.37048 Z. Angew. Math. Phys. 68, No. 1, Paper No. 13, 7 p. (2017). Reviewer: Charis Harley (Johannesburg) MSC: 37C15 34A34 34C05 34M25 PDF BibTeX XML Cite \textit{A. Gasull} and \textit{J. Giné}, Z. Angew. Math. Phys. 68, No. 1, Paper No. 13, 7 p. (2017; Zbl 1379.37048) Full Text: DOI Link OpenURL
Huang, Xiaojun; Yin, Wanke Flattening of CR singular points and analyticity of the local hull of holomorphy. II. (English) Zbl 1366.32012 Adv. Math. 308, 1009-1073 (2017). Reviewer: Steve Deckelman (Menomonie) MSC: 32V40 32E05 PDF BibTeX XML Cite \textit{X. Huang} and \textit{W. Yin}, Adv. Math. 308, 1009--1073 (2017; Zbl 1366.32012) Full Text: DOI arXiv OpenURL
Güneysu, Batu; Pflaum, Markus J. The profinite dimensional manifold structure of formal solution spaces of formally integrable PDEs. (English) Zbl 1367.58002 SIGMA, Symmetry Integrability Geom. Methods Appl. 13, Paper 003, 44 p. (2017). Reviewer: Werner M. Seiler (Kassel) MSC: 58A05 58A20 35A30 PDF BibTeX XML Cite \textit{B. Güneysu} and \textit{M. J. Pflaum}, SIGMA, Symmetry Integrability Geom. Methods Appl. 13, Paper 003, 44 p. (2017; Zbl 1367.58002) Full Text: DOI arXiv OpenURL
Hoare, Ben; van Tongeren, Stijn J. On Jordanian deformations of \(\mathrm{AdS}_{5}\) and supergravity. (English) Zbl 1352.81050 J. Phys. A, Math. Theor. 49, No. 43, Article ID 434006, 22 p. (2016). MSC: 81T30 81T20 81T40 16T25 83E50 81R12 81T60 14D15 PDF BibTeX XML Cite \textit{B. Hoare} and \textit{S. J. van Tongeren}, J. Phys. A, Math. Theor. 49, No. 43, Article ID 434006, 22 p. (2016; Zbl 1352.81050) Full Text: DOI arXiv OpenURL
Jiao, Jia; Li, Wenlei; Zhou, Qingjian Formal first integrals of general dynamical systems. (English) Zbl 06625330 Adv. Math. Phys. 2016, Article ID 1036089, 9 p. (2016). MSC: 34A05 34C45 34A25 PDF BibTeX XML Cite \textit{J. Jiao} et al., Adv. Math. Phys. 2016, Article ID 1036089, 9 p. (2016; Zbl 06625330) Full Text: DOI OpenURL
Thompson, Daniel C. Generalised T-duality and integrable deformations. (English) Zbl 1339.81083 Fortschr. Phys. 64, No. 4-5, 349-353 (2016). MSC: 81T30 81T20 81T60 14D15 PDF BibTeX XML Cite \textit{D. C. Thompson}, Fortschr. Phys. 64, No. 4--5, 349--353 (2016; Zbl 1339.81083) Full Text: DOI arXiv Link OpenURL
Kobayashi, Shinichi; Yamazaki, Takao Torsion points on Jacobian varieties via Anderson’s \(p\)-adic soliton theory. (English) Zbl 1403.11051 Asian J. Math. 20, No. 2, 323-352 (2016). MSC: 11G20 14H40 14K25 37J35 PDF BibTeX XML Cite \textit{S. Kobayashi} and \textit{T. Yamazaki}, Asian J. Math. 20, No. 2, 323--352 (2016; Zbl 1403.11051) Full Text: DOI arXiv OpenURL
Llibre, Jaume; Valls, Claudia On the analytic integrability of the Liénard analytic differential systems. (English) Zbl 1335.34004 Discrete Contin. Dyn. Syst., Ser. B 21, No. 2, 557-573 (2016). Reviewer: Valery Romanovski (Maribor) MSC: 34A05 34C14 PDF BibTeX XML Cite \textit{J. Llibre} and \textit{C. Valls}, Discrete Contin. Dyn. Syst., Ser. B 21, No. 2, 557--573 (2016; Zbl 1335.34004) Full Text: DOI OpenURL
Aparicio-Monforte, A.; Dreyfus, T.; Weil, J.-A. Liouville integrability: an effective Morales-Ramis-Simó theorem. (English) Zbl 1418.37092 J. Symb. Comput. 74, 537-560 (2016). MSC: 37J30 37J35 34A05 34M03 34M15 34M25 17B45 20G45 34M05 17B80 PDF BibTeX XML Cite \textit{A. Aparicio-Monforte} et al., J. Symb. Comput. 74, 537--560 (2016; Zbl 1418.37092) Full Text: DOI arXiv OpenURL
Pucci, Edvige; Rajagopal, K. R.; Saccomandi, Giuseppe On the determination of semi-inverse solutions of nonlinear Cauchy elasticity: the not so simple case of anti-plane shear. (English) Zbl 1423.74136 Int. J. Eng. Sci. 88, 3-14 (2015). MSC: 74B20 74G75 PDF BibTeX XML Cite \textit{E. Pucci} et al., Int. J. Eng. Sci. 88, 3--14 (2015; Zbl 1423.74136) Full Text: DOI OpenURL
Kim, Namhoon Formal initial value problem of the Korteweg-de Vries equation. (English) Zbl 1311.35257 J. Phys. A, Math. Theor. 48, No. 5, Article ID 055207, 15 p. (2015). MSC: 35Q53 26C15 32A05 35E15 35Q51 37K40 37K10 37M15 PDF BibTeX XML Cite \textit{N. Kim}, J. Phys. A, Math. Theor. 48, No. 5, Article ID 055207, 15 p. (2015; Zbl 1311.35257) Full Text: DOI OpenURL
Sang, Bo Integrability conditions for a class of complex cubic Lotka-Volterra systems with a 1:-4 resonant singular point. (Chinese. English summary) Zbl 1340.34003 Chin. Ann. Math., Ser. A 35, No. 6, 729-740 (2014). MSC: 34A05 34C05 PDF BibTeX XML Cite \textit{B. Sang}, Chin. Ann. Math., Ser. A 35, No. 6, 729--740 (2014; Zbl 1340.34003) OpenURL
Zheglov, A. B. On rings of commuting partial differential operators. (English. Russian original) Zbl 1325.13025 St. Petersbg. Math. J. 25, No. 5, 775-814 (2014); translation from Algebra Anal. 25, No. 5, 86-145 (2013). Reviewer: Oleksandr Iena (Luxembourg) MSC: 13N15 37K20 14D15 14D20 37K10 35Q53 PDF BibTeX XML Cite \textit{A. B. Zheglov}, St. Petersbg. Math. J. 25, No. 5, 775--814 (2014; Zbl 1325.13025); translation from Algebra Anal. 25, No. 5, 86--145 (2013) Full Text: DOI arXiv OpenURL
Ferapontov, Eugene V.; Kruglikov, Boris S. Dispersionless integrable systems in 3D and Einstein-Weyl geometry. (English) Zbl 1306.37084 J. Differ. Geom. 97, No. 2, 215-254 (2014). Reviewer: Alina Stancu (Montréal) MSC: 37K25 37K10 53C50 PDF BibTeX XML Cite \textit{E. V. Ferapontov} and \textit{B. S. Kruglikov}, J. Differ. Geom. 97, No. 2, 215--254 (2014; Zbl 1306.37084) Full Text: DOI arXiv Euclid OpenURL
Sang, Bo Integrability conditions for a class of complex cubic Lotka-Volterra systems with a \(4:-5\) resonant singular point. (Chinese. English summary) Zbl 1299.34114 Acta Sci. Nat. Univ. Sunyatseni 52, No. 6, 44-47, 52 (2013). MSC: 34C05 34A05 PDF BibTeX XML Cite \textit{B. Sang}, Acta Sci. Nat. Univ. Sunyatseni 52, No. 6, 44--47, 52 (2013; Zbl 1299.34114) OpenURL
Eslami Rad, Anahita; Reyes, Enrique G. The Kadomtsev-Petviashvili hierarchy and the Mulase factorization of formal Lie groups. (English) Zbl 1330.37061 J. Geom. Mech. 5, No. 3, 345-364 (2013). MSC: 37K10 17B80 35A30 35Q53 37K30 PDF BibTeX XML Cite \textit{A. Eslami Rad} and \textit{E. G. Reyes}, J. Geom. Mech. 5, No. 3, 345--364 (2013; Zbl 1330.37061) Full Text: DOI OpenURL
Hernández Heredero, Rafael; Reyes, Enrique G. Nonlocal symmetries, compacton equations, and integrability. (English) Zbl 1274.35325 Int. J. Geom. Methods Mod. Phys. 10, No. 9, Article ID 1350046, 24 p. (2013). MSC: 35Q53 PDF BibTeX XML Cite \textit{R. Hernández Heredero} and \textit{E. G. Reyes}, Int. J. Geom. Methods Mod. Phys. 10, No. 9, Article ID 1350046, 24 p. (2013; Zbl 1274.35325) Full Text: DOI OpenURL
Vodová, Jiřina A complete list of conservation laws for non-integrable compacton equations of \(K(m,m)\) type. (English) Zbl 1393.37072 Nonlinearity 26, No. 3, 757-762 (2013). Reviewer: Jean-Claude Ndogmo (Thohoyandou) MSC: 37K05 37K10 35Q53 PDF BibTeX XML Cite \textit{J. Vodová}, Nonlinearity 26, No. 3, 757--762 (2013; Zbl 1393.37072) Full Text: DOI arXiv OpenURL
Constantinescu, Oana Formal integrability for the nonautonomous case of the inverse problem of the calculus of variations. (English) Zbl 1268.49042 SIGMA, Symmetry Integrability Geom. Methods Appl. 8, Paper 059, 17 p. (2012). MSC: 49N45 58E30 34A26 37J30 PDF BibTeX XML Cite \textit{O. Constantinescu}, SIGMA, Symmetry Integrability Geom. Methods Appl. 8, Paper 059, 17 p. (2012; Zbl 1268.49042) Full Text: DOI arXiv OpenURL
Aparicio-Monforte, Ainhoa; Barkatou, Moulay A.; Simon, Sergi; Weil, Jacques-Arthur Formal first integrals along solutions of differential systems. I. (English) Zbl 1323.34097 Leykin, Anton (ed.), Proceedings of the 36th international symposium on symbolic and algebraic computation, ISSAC 2011, San Jose, CA, USA, June 7–11, 2011. New York, NY: Association for Computing Machinery (ACM) (ISBN 978-1-4503-0675-1). 19-26 (2011). MSC: 34M25 47J30 68W30 PDF BibTeX XML Cite \textit{A. Aparicio-Monforte} et al., in: Proceedings of the 36th international symposium on symbolic and algebraic computation, ISSAC 2011, San Jose, CA, USA, June 7--11, 2011. New York, NY: Association for Computing Machinery (ACM). 19--26 (2011; Zbl 1323.34097) Full Text: DOI OpenURL
Bucataru, Ioan; Muzsnay, Zoltán Projective metrizability and formal integrability. (English) Zbl 1244.49072 SIGMA, Symmetry Integrability Geom. Methods Appl. 7, Paper 114, 22 p. (2011). MSC: 49Q15 58E30 53C60 58B20 53C22 PDF BibTeX XML Cite \textit{I. Bucataru} and \textit{Z. Muzsnay}, SIGMA, Symmetry Integrability Geom. Methods Appl. 7, Paper 114, 22 p. (2011; Zbl 1244.49072) Full Text: DOI arXiv OpenURL
Jiménez, S. Weil jets, Lie correspondences and applications. (English) Zbl 1234.58002 Blázquez-Sanz, David (ed.) et al., Symmetries and related topics in differential and difference equations. 3rd Jairo Charris seminar 2009 on symmetries of differential and difference equations, Escuela de Matemáticas, Universidad Sergio Arboleda, Bogotá, Colombia, July 31–August 2, 2009. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-6872-0/pbk). Contemporary Mathematics 549, 25-50 (2011). MSC: 58A20 58J72 35A30 PDF BibTeX XML Cite \textit{S. Jiménez}, Contemp. Math. 549, 25--50 (2011; Zbl 1234.58002) OpenURL
Aparicio Monforte, A.; Weil, J.-A. A reduction method for higher order variational equations of Hamiltonian systems. (English) Zbl 1243.37048 Blázquez-Sanz, David (ed.) et al., Symmetries and related topics in differential and difference equations. 3rd Jairo Charris seminar 2009 on symmetries of differential and difference equations, Escuela de Matemáticas, Universidad Sergio Arboleda, Bogotá, Colombia, July 31–August 2, 2009. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-6872-0/pbk). Contemporary Mathematics 549, 1-15 (2011). Reviewer: István Gaál (Debrecen) MSC: 37J30 34A05 68W30 34M15 34M25 PDF BibTeX XML Cite \textit{A. Aparicio Monforte} and \textit{J. A. Weil}, Contemp. Math. 549, 1--15 (2011; Zbl 1243.37048) Full Text: arXiv OpenURL
Spicer, Paul E.; Nijhoff, Frank W.; van der Kamp, Peter H. Higher analogues of the discrete-time Toda equation and the quotient-difference algorithm. (English) Zbl 1223.37088 Nonlinearity 24, No. 8, 2229-2263 (2011). MSC: 37K10 42C05 39A14 65Q10 PDF BibTeX XML Cite \textit{P. E. Spicer} et al., Nonlinearity 24, No. 8, 2229--2263 (2011; Zbl 1223.37088) Full Text: DOI arXiv OpenURL
Hussin, V.; Kiselev, A. V.; Krutov, A. O.; Wolf, T. \(N=2\) supersymmetric \(a=4\)-Korteweg-de Vries hierarchy derived via Gardner’s deformation of Kaup-Boussinesq equation. (English) Zbl 1312.35153 J. Math. Phys. 51, No. 8, 083507, 19 p. (2010). MSC: 35Q53 37K10 81Q60 14D15 PDF BibTeX XML Cite \textit{V. Hussin} et al., J. Math. Phys. 51, No. 8, 083507, 19 p. (2010; Zbl 1312.35153) Full Text: DOI arXiv OpenURL
Yao, Yuqin; Zeng, Yunbo The generalized Kupershmidt deformation for constructing new integrable systems from integrable bi-Hamiltonian systems. (English) Zbl 1311.35266 J. Math. Phys. 51, No. 6, 063503, 14 p. (2010). MSC: 35Q53 35Q51 37K10 37K55 14D15 37J60 76B15 PDF BibTeX XML Cite \textit{Y. Yao} and \textit{Y. Zeng}, J. Math. Phys. 51, No. 6, 063503, 14 p. (2010; Zbl 1311.35266) Full Text: DOI arXiv OpenURL
Buchstaber, V. M.; Bunkova, E. Yu. Addition theorems, formal group laws and integrable systems. (English) Zbl 1253.37071 Kielanowski, Piotr (ed.) et al., XXIX workshop on geometric methods in physics, Białowieża, Poland, June 27–July 3, 2010. Selected papers based on the presentations at the workshop. Melville, NY: American Institute of Physics (AIP) (ISBN 978-0-7354-0861-6/hbk). AIP Conference Proceedings 1307, 33-43 (2010). MSC: 37K20 37K10 14L05 PDF BibTeX XML Cite \textit{V. M. Buchstaber} and \textit{E. Yu. Bunkova}, AIP Conf. Proc. 1307, 33--43 (2010; Zbl 1253.37071) OpenURL
Taghizadeh, Nasir; Mirzazadeh, Mohammad Formal linearization and exact solutions of Kadomtsev-Petviashvili (KP) equation. (English) Zbl 1234.35231 Int. J. Appl. Math. 23, No. 5, 825-830 (2010). MSC: 35Q53 47F05 37K10 PDF BibTeX XML Cite \textit{N. Taghizadeh} and \textit{M. Mirzazadeh}, Int. J. Appl. Math. 23, No. 5, 825--830 (2010; Zbl 1234.35231) OpenURL
Llibre, Jaume; Valls, Clàudia Analytical integrability of the Rikitake system. (English) Zbl 1227.34003 Z. Angew. Math. Phys. 61, No. 4, 627-634 (2010). MSC: 34A05 34A25 PDF BibTeX XML Cite \textit{J. Llibre} and \textit{C. Valls}, Z. Angew. Math. Phys. 61, No. 4, 627--634 (2010; Zbl 1227.34003) Full Text: DOI OpenURL
Wang, Jian-Yong; Yu, Jun; Lou, Sen-Yue Symmetries and algebras of a \((2+1)\)-dimensional MKdV-type system. (English) Zbl 1219.35264 Commun. Theor. Phys. 53, No. 6, 999-1004 (2010). MSC: 35Q53 37K05 37K10 35B06 35C10 PDF BibTeX XML Cite \textit{J.-Y. Wang} et al., Commun. Theor. Phys. 53, No. 6, 999--1004 (2010; Zbl 1219.35264) Full Text: DOI OpenURL
Morikawa, Shuji; Saito, Katsunori; Takeuchi, Taihei; Umemura, Hiroshi Discrete Burgers’ equation, binomial coefficients and Mandala. (English) Zbl 1217.39010 Math. Comput. Sci. 4, No. 2-3, 151-167 (2010). MSC: 39A12 35Q53 03D05 39A10 12F10 37J35 65Q10 PDF BibTeX XML Cite \textit{S. Morikawa} et al., Math. Comput. Sci. 4, No. 2--3, 151--167 (2010; Zbl 1217.39010) Full Text: DOI OpenURL
Kurke, Herbert; Osipov, Denis V.; Zheglov, Alexander B. Formal groups arising from formal punctured ribbons. (English) Zbl 1203.14012 Int. J. Math. 21, No. 6, 755-797 (2010). Reviewer: Stefan Schröer (Düsseldorf) MSC: 14D15 14D20 37K10 PDF BibTeX XML Cite \textit{H. Kurke} et al., Int. J. Math. 21, No. 6, 755--797 (2010; Zbl 1203.14012) Full Text: DOI arXiv OpenURL
Seiler, Werner M. Involution. The formal theory of differential equations and its applications in computer algebra. (English) Zbl 1205.35003 Algorithms and Computation in Mathematics 24. Berlin: Springer (ISBN 978-3-642-01286-0/hbk; 978-3-642-01287-7/ebook). xxii, 650 p. (2010). Reviewer: Boris S. Kruglikov (Tromsø) MSC: 35-02 13-02 13P10 13P20 35-04 68W30 PDF BibTeX XML Cite \textit{W. M. Seiler}, Involution. The formal theory of differential equations and its applications in computer algebra. Berlin: Springer (2010; Zbl 1205.35003) Full Text: DOI Backlinks: MO OpenURL
Fesser, Dirk; Seiler, Werner M. Existence and construction of Vessiot connections. (English) Zbl 1189.35014 SIGMA, Symmetry Integrability Geom. Methods Appl. 5, Paper 092, 41 p. (2009). MSC: 35A30 35N99 58A20 PDF BibTeX XML Cite \textit{D. Fesser} and \textit{W. M. Seiler}, SIGMA, Symmetry Integrability Geom. Methods Appl. 5, Paper 092, 41 p. (2009; Zbl 1189.35014) Full Text: DOI arXiv EuDML EMIS OpenURL
Muñoz Masqué, J.; Pozo Coronado, L. M.; Sánchez Rodríguez, I. The prescribed curvature problem in dimension four. (English) Zbl 1183.53020 J. Math. Pures Appl. (9) 92, No. 6, 599-612 (2009). MSC: 53C05 17B20 58A20 PDF BibTeX XML Cite \textit{J. Muñoz Masqué} et al., J. Math. Pures Appl. (9) 92, No. 6, 599--612 (2009; Zbl 1183.53020) Full Text: DOI OpenURL
Xie, Zheng; Li, Hongbo Formal integrability criteria for nonlinear partial difference equations. (English) Zbl 1183.39006 Acta Appl. Math. 108, No. 2, 279-297 (2009). Reviewer: Christian Pötzsche (München) MSC: 39A14 58A15 37K10 PDF BibTeX XML Cite \textit{Z. Xie} and \textit{H. Li}, Acta Appl. Math. 108, No. 2, 279--297 (2009; Zbl 1183.39006) Full Text: DOI OpenURL
Algaba, A.; Gamero, E.; García, C. The integrability problem for a class of planar systems. (English) Zbl 1165.34023 Nonlinearity 22, No. 2, 395-420 (2009). Reviewer: Alexey Remizov (Trieste) MSC: 34C20 34C05 34A05 PDF BibTeX XML Cite \textit{A. Algaba} et al., Nonlinearity 22, No. 2, 395--420 (2009; Zbl 1165.34023) Full Text: DOI OpenURL
Mikhailov, Alexander V.; Novikov, Vladimir S.; Wang, Jing Ping Symbolic representation and classification of integrable systems. (English) Zbl 1218.37091 MacCallum, Malcolm A. H. (ed.) et al., Algebraic theory of differential equations. Lectures of a school and workshop organized at the Heriot-Watt University, Edinburgh, UK, July and August 2006. Cambridge: Cambridge University Press (ISBN 978-0-521-72008-3/pbk). London Mathematical Society Lecture Note Series 357, 156-216 (2009). MSC: 37K10 35Q53 37K05 PDF BibTeX XML Cite \textit{A. V. Mikhailov} et al., Lond. Math. Soc. Lect. Note Ser. 357, 156--216 (2009; Zbl 1218.37091) Full Text: arXiv OpenURL
Lorenz, Arne On local integrability conditions of jet groupoids. (English) Zbl 1153.58009 Acta Appl. Math. 101, No. 1-3, 205-213 (2008). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 58H05 58A20 58A32 PDF BibTeX XML Cite \textit{A. Lorenz}, Acta Appl. Math. 101, No. 1--3, 205--213 (2008; Zbl 1153.58009) Full Text: DOI arXiv OpenURL
Muñoz Porras, José M.; Plaza Martín, Francisco J. Equations of Hurwitz schemes in the infinite Grassmannian. (English) Zbl 1156.14022 Math. Nachr. 281, No. 7, 989-1012 (2008). Reviewer: Shigeki Matsutani (Kanagawa) MSC: 14H10 14H30 13F25 14M15 37K10 14H70 PDF BibTeX XML Cite \textit{J. M. Muñoz Porras} and \textit{F. J. Plaza Martín}, Math. Nachr. 281, No. 7, 989--1012 (2008; Zbl 1156.14022) Full Text: DOI arXiv Link OpenURL
Taghizadeh, N.; Neirameh, A. Generalization of formal linearization and exact solutions of the system of nonlinear PDEs. (English) Zbl 1139.35332 Far East J. Appl. Math. 27, No. 2, 295-299 (2007). Reviewer: Rolf Dieter Grigorieff (Berlin) MSC: 35G20 35A25 37K10 47F05 PDF BibTeX XML Cite \textit{N. Taghizadeh} and \textit{A. Neirameh}, Far East J. Appl. Math. 27, No. 2, 295--299 (2007; Zbl 1139.35332) OpenURL
Kruglikov, Boris; Lychagin, Valentin Dimension of the solutions space of PDEs. (English) Zbl 1200.35194 Calmet, J. (ed.) et al., Global integrability of field theories. Proceedings of GIFT 2006, Cockcroft Institute, Daresbury, UK, November 1–3, 2006. Karlsruhe: Universitätsverlag Karlsruhe (ISBN 3-86644-035-9/pbk). 5-25 (2006). Reviewer: Ubiratan D’Ambrosio (São Paulo) MSC: 35N10 58A20 58H10 35A30 13C14 PDF BibTeX XML Cite \textit{B. Kruglikov} and \textit{V. Lychagin}, in: Global integrability of field theories. Proceedings of GIFT 2006, Cockcroft Institute, Daresbury, UK, November 1--3, 2006. Karlsruhe: Universitätsverlag Karlsruhe. 5--25 (2006; Zbl 1200.35194) Full Text: arXiv Link OpenURL
Xia, Tiecheng; Cao, Lina; Zhang, Hongqing On the size of solution, proper solution, formal Taylor series solutions and the optimization of orderings for some PDEs. (Chinese. English summary) Zbl 1108.35326 J. Syst. Sci. Math. Sci. 25, No. 6, 752-760 (2005). MSC: 35G20 35B05 PDF BibTeX XML Cite \textit{T. Xia} et al., J. Syst. Sci. Math. Sci. 25, No. 6, 752--760 (2005; Zbl 1108.35326) OpenURL
Bilge, A. H. Towards the classification of scalar nonpolynomial evolution equations: quasilinearity. (English) Zbl 1082.35015 Comput. Math. Appl. 49, No. 11-12, 1837-1848 (2005). MSC: 35A30 58J70 PDF BibTeX XML Cite \textit{A. H. Bilge}, Comput. Math. Appl. 49, No. 11--12, 1837--1848 (2005; Zbl 1082.35015) Full Text: DOI arXiv OpenURL
Malgrange, Bernard Involutive differential equations. (Systèmes différentiels involutifs.) (French) Zbl 1090.35003 Panoramas et Synthèses 19. Paris: Société Mathématique de France (ISBN 2-85629-178-3/pbk). vi, 106 p. (2005). Reviewer: Werner M. Seiler (Heidelberg) MSC: 35-02 35N10 12H05 58A15 PDF BibTeX XML Cite \textit{B. Malgrange}, Systèmes différentiels involutifs. Paris: Société Mathématique de France (SMF) (2005; Zbl 1090.35003) OpenURL
Muñoz Masqué, J.; Rosado María, M. Eugenia Integrability of the field equations of invariant variational problems on linear frame bundles. (English) Zbl 1159.58304 J. Geom. Phys. 49, No. 2, 119-155 (2004). MSC: 58E30 35A30 35F20 37K05 58A20 PDF BibTeX XML Cite \textit{J. Muñoz Masqué} and \textit{M. E. Rosado María}, J. Geom. Phys. 49, No. 2, 119--155 (2004; Zbl 1159.58304) Full Text: DOI OpenURL
Tahara, Nobuhiko An augmentation of the phase space of the system of type \(A_4^{(1)}\). (English) Zbl 1074.34084 Kyushu J. Math. 58, No. 2, 393-425 (2004). Reviewer: Andrei A. Kapaev (St. Petersburg) MSC: 34M25 37J35 12H20 34A26 34M05 34M55 33E17 PDF BibTeX XML Cite \textit{N. Tahara}, Kyushu J. Math. 58, No. 2, 393--425 (2004; Zbl 1074.34084) Full Text: DOI arXiv OpenURL
Sergyeyev, A. Locality of symmetries generated by nonhereditary, inhomogeneous, and time-dependent recursion operators: a new application for formal symmetries. (English) Zbl 1162.37328 Acta Appl. Math. 83, No. 1-2, 95-109 (2004). MSC: 37K10 35Q53 PDF BibTeX XML Cite \textit{A. Sergyeyev}, Acta Appl. Math. 83, No. 1--2, 95--109 (2004; Zbl 1162.37328) Full Text: DOI arXiv OpenURL
Zehetleitner, Kurt; Schlacher, Kurt Computer algebra methods for implicit dynamic systems and applications. (English) Zbl 1091.68126 Math. Comput. Simul. 67, No. 1-2, 111-123 (2004). MSC: 68W30 34A09 34-04 58A20 PDF BibTeX XML Cite \textit{K. Zehetleitner} and \textit{K. Schlacher}, Math. Comput. Simul. 67, No. 1--2, 111--123 (2004; Zbl 1091.68126) Full Text: DOI OpenURL
Hubert, E.; Le Roux, N. Computing power series solutions of a nonlinear PDE system. (English) Zbl 1072.68672 Sendra, J. Rafael (ed.), ISSAC 2003. Proceedings of the 2003 international symposium on symbolic and algebraic computation, Philadelphia, PA, USA, August 3–6, 2003. New York, NY: ACM Press (ISBN 1-58113-641-2/pbk). 148-155 (2003). MSC: 68W30 35C10 35G20 PDF BibTeX XML Cite \textit{E. Hubert} and \textit{N. Le Roux}, in: Proceedings of the 2003 international symposium on symbolic and algebraic computation, ISSAC 2003, Philadelphia, PA, USA, August 3--6, 2003. New York, NY: ACM Press. 148--155 (2003; Zbl 1072.68672) OpenURL
Konopelchenko, B.; Martinez Alonso, L. Dispersionless scalar integrable hierarchies, Whitham hierarchy, and the quasiclassical \(\overline\partial\)-dressing method. (English) Zbl 1060.37056 J. Math. Phys. 43, No. 7, 3807-3823 (2002). MSC: 37K10 35N15 37K15 PDF BibTeX XML Cite \textit{B. Konopelchenko} and \textit{L. Martinez Alonso}, J. Math. Phys. 43, No. 7, 3807--3823 (2002; Zbl 1060.37056) Full Text: DOI arXiv Link OpenURL
Kudryashov, Nikolai A. Fourth-order analogies to the Painlevé equations. (English) Zbl 1066.34086 J. Phys. A, Math. Gen. 35, No. 21, 4617-4632 (2002). MSC: 34M25 37K10 PDF BibTeX XML Cite \textit{N. A. Kudryashov}, J. Phys. A, Math. Gen. 35, No. 21, 4617--4632 (2002; Zbl 1066.34086) Full Text: DOI Link OpenURL
Svinin, A. K. Integrable chains and hierarchies of differential evolution equations. (English. Russian original) Zbl 1029.37044 Theor. Math. Phys. 130, No. 1, 11-24 (2002); translation from Teor. Mat. Fiz. 130, No. 1, 15-30 (2002). MSC: 37K10 35Q53 PDF BibTeX XML Cite \textit{A. K. Svinin}, Theor. Math. Phys. 130, No. 1, 11--24 (2002; Zbl 1029.37044); translation from Teor. Mat. Fiz. 130, No. 1, 15--30 (2002) Full Text: DOI OpenURL
Fesser, Dirk; Saller, Dirk; Seiler, Werner M. A differential equations approach to Hamiltonian systems. (English) Zbl 1018.37035 Rep. Math. Phys. 49, No. 2-3, 345-359 (2002). Reviewer: Willy Sarlet (Gent) MSC: 37J05 34A26 53D05 70G45 70H45 PDF BibTeX XML Cite \textit{D. Fesser} et al., Rep. Math. Phys. 49, No. 2--3, 345--359 (2002; Zbl 1018.37035) Full Text: DOI OpenURL
Kakei, Saburo; Ikeda, Takeshi; Takasaki, Kanehisa Hierarchy of \((2+1)\)-dimensional nonlinear Schrödinger equation, self-dual Yang-Mills equation, and toroidal Lie algebras. (English) Zbl 1054.35093 Ann. Henri Poincaré 3, No. 5, 817-845 (2002). Reviewer: Emma Previato (Boston) MSC: 35Q55 37K10 37K15 81R10 PDF BibTeX XML Cite \textit{S. Kakei} et al., Ann. Henri Poincaré 3, No. 5, 817--845 (2002; Zbl 1054.35093) Full Text: DOI arXiv OpenURL
Svinin, A. K. Extension of the discrete KP hierarchy. (English) Zbl 1002.37036 J. Phys. A, Math. Gen. 35, No. 8, 2045-2056 (2002). Reviewer: Hu Chuangan (Tianjin) MSC: 37K60 37K10 39A12 PDF BibTeX XML Cite \textit{A. K. Svinin}, J. Phys. A, Math. Gen. 35, No. 8, 2045--2056 (2002; Zbl 1002.37036) Full Text: DOI arXiv Link OpenURL
Tyc, Andrzej On multiplicative integrability of derivations in characteristic \(p>0\). (English) Zbl 1048.14029 Commun. Algebra 30, No. 2, 563-570 (2002). MSC: 14L05 13N15 14L30 PDF BibTeX XML Cite \textit{A. Tyc}, Commun. Algebra 30, No. 2, 563--570 (2002; Zbl 1048.14029) Full Text: DOI OpenURL
Foursov, Mikhail V.; Olver, Peter J.; Reyes, Enrique G. On formal integrability of evolution equations and local geometry of surfaces. (English) Zbl 1019.37044 Differ. Geom. Appl. 15, No. 2, 183-199 (2001). MSC: 37K25 35Q53 37K05 53A05 35Q51 35Q58 37K35 PDF BibTeX XML Cite \textit{M. V. Foursov} et al., Differ. Geom. Appl. 15, No. 2, 183--199 (2001; Zbl 1019.37044) Full Text: DOI OpenURL
Sergyeyev, Artur On a class of inhomogeneous extensions for integrable evolution systems. (English) Zbl 1030.37046 Kowalski, Oldřich (ed.) et al., Differential geometry and its applications. Proceedings of the 8th international conference, Opava, Czech Republic, August 27-31, 2001. Opava: Silesian University at Opava. Math. Publ. (Opava). 3, 243-252 (2001). MSC: 37K10 37L05 37L20 35Q58 58D19 PDF BibTeX XML Cite \textit{A. Sergyeyev}, in: Differential geometry and its applications. Proceedings of the 8th international conference, Opava, Czech Republic, August 27--31, 2001. Opava: Silesian University at Opava. 243--252 (2001; Zbl 1030.37046) Full Text: arXiv OpenURL
Reyes, Enrique G. Integrability of evolution equations and pseudo-spherical surfaces. (English) Zbl 0988.35136 Coley, Alan (ed.) et al., Bäcklund and Darboux transformations. The geometry of solitons. AARMS-CRM workshop, Halifax, Canada, June 4-9, 1999. With short biographies of Albert Victor Bäcklund and Gaston Darboux. Providence, RI: American Mathematical Society (AMS). CRM Proc. Lect. Notes. 29, 373-383 (2001). MSC: 35Q51 37K10 37K25 PDF BibTeX XML Cite \textit{E. G. Reyes}, in: Bäcklund and Darboux transformations. The geometry of solitons. AARMS-CRM workshop, Halifax, Canada, June 4--9, 1999. With short biographies of Albert Victor Bäcklund and Gaston Darboux. Providence, RI: American Mathematical Society (AMS). 373--383 (2001; Zbl 0988.35136) OpenURL
Reyes, Enrique G. Some geometric aspects of integrability of differential equations in two independent variables. (English) Zbl 0995.35054 Acta Appl. Math. 64, No. 2-3, 75-109 (2000). Reviewer: Geng, Xiangu MSC: 35Q51 37K10 37K25 37K05 PDF BibTeX XML Cite \textit{E. G. Reyes}, Acta Appl. Math. 64, No. 2--3, 75--109 (2000; Zbl 0995.35054) Full Text: DOI OpenURL
Muñoz, J.; Muriel, F. J.; Rodríguez, J. Integrability of Lie equations and pseudogroups. (English) Zbl 0973.58008 J. Math. Anal. Appl. 252, No. 1, 32-49 (2000). Reviewer: Jan Chrastina (Brno) MSC: 58H05 22E65 PDF BibTeX XML Cite \textit{J. Muñoz} et al., J. Math. Anal. Appl. 252, No. 1, 32--49 (2000; Zbl 0973.58008) Full Text: DOI OpenURL
Ortaçgil, Ercüment \(G\)-connections as twisted formal solutions of systems of PDE’s related to geometric structures. (English) Zbl 0986.53007 Slovák, Jan (ed.) et al., The proceedings of the 19th Winter School “Geometry and physics”, Srní, Czech Republic, January 9-15, 1999. Palermo: Circolo Matematico di Palermo, Suppl. Rend. Circ. Mat. Palermo, II. Ser. 63, 177-186 (2000). Reviewer: V.L.Hansen (Lyngby) MSC: 53B05 58A20 PDF BibTeX XML Cite \textit{E. Ortaçgil}, in: The proceedings of the 19th Winter School ``Geometry and physics'', Srní, Czech Republic, January 9--15, 1999. Palermo: Circolo Matematico di Palermo. 177--186 (2000; Zbl 0986.53007) OpenURL
Lei, Jinzhi; Guan, Keying Invariance and integrability of the differential equation \(w'=\sum_{i=0}^n a_i(z)w^i/\sum_{i=0}^m b_i(z)w^i\) under fractional transformation. (English) Zbl 0960.34073 Bates, Peter W. (ed.) et al., Differential equations and computational simulations. Proceedings of the international conference, Chengdu, China, June 13-18, 1999. Singapore: World Scientific. 172-175 (2000). MSC: 34M25 PDF BibTeX XML Cite \textit{J. Lei} and \textit{K. Guan}, in: Differential equations and computational simulations. Proceedings of the international conference, Chengdu, China, June 13--18, 1999. Singapore: World Scientific. 172--175 (2000; Zbl 0960.34073) OpenURL
Sergyeyev, A. On local time-dependent symmetries of integrable evolution equations. (English) Zbl 0954.37035 Proceedings of the third international conference on symmetry in nonlinear mathematical physics, Kyiv, Ukraine, July 12-18, 1999. Part 1. Transl. from the Ukrainian. Kyiv: Institute of Mathematics of NAS of Ukraine. Proc. Inst. Math. Natl. Acad. Sci. Ukr., Math. Appl. 30(1), 196-203 (2000). Reviewer: I.O.Parasyuk (Kyïv) MSC: 37K10 37K05 58J70 PDF BibTeX XML Cite \textit{A. Sergyeyev}, in: Proceedings of the third international conference on symmetry in nonlinear mathematical physics, Kyiv, Ukraine, July 12--18, 1999. Part 1. Transl. from the Ukrainian. Kyiv: Institute of Mathematics of NAS of Ukraine. 196--203 (2000; Zbl 0954.37035) OpenURL
Goriely, A. A brief history of Kovalevskaya exponents and modern developments. (English) Zbl 0947.37031 Regul. Chaotic Dyn. 5, No. 1, 3-15 (2000). Reviewer: I.A.Taimanov (Novosibirsk) MSC: 37J35 37N10 34G20 34M25 PDF BibTeX XML Cite \textit{A. Goriely}, Regul. Chaotic Dyn. 5, No. 1, 3--15 (2000; Zbl 0947.37031) Full Text: DOI OpenURL
Grifone, Joseph; Muzsnay, Zoltán Variational principles for second-order differential equations. Application of the Spencer theory to characterize variational sprays. (English) Zbl 1023.49027 Singapore: World Scientific. x, 217 p. (2000). Reviewer: Werner M.Seiler (Mannheim) MSC: 49N45 34-02 34A55 70H03 PDF BibTeX XML Cite \textit{J. Grifone} and \textit{Z. Muzsnay}, Variational principles for second-order differential equations. Application of the Spencer theory to characterize variational sprays. Singapore: World Scientific (2000; Zbl 1023.49027) OpenURL
Prástaro, Agostino (Co)bordism groups in PDEs. (English) Zbl 0949.35011 Acta Appl. Math. 59, No. 2, 111-201 (1999). Reviewer: Maria A.Ragusa (Catania) MSC: 35A30 55N22 PDF BibTeX XML Cite \textit{A. Prástaro}, Acta Appl. Math. 59, No. 2, 111--201 (1999; Zbl 0949.35011) Full Text: DOI OpenURL
Sarlet, W. Integrability aspects of the inverse problem of the calculus of variations. (English) Zbl 0944.34004 Kolář, Ivan (ed.) et al., Differential geometry and applications. Proceedings of the 7th international conference, DGA 98, and satellite conference of ICM in Berlin, Brno, Czech Republic, August 10-14, 1998. Brno: Masaryk University. 563-574 (1999). MSC: 34A26 70H03 49N45 58E30 PDF BibTeX XML Cite \textit{W. Sarlet}, in: Differential geometry and applications. Proceedings of the 7th international conference, DGA 98, and satellite conference of ICM in Berlin, Brno, Czech Republic, August 10--14, 1998. Brno: Masaryk University. 563--574 (1999; Zbl 0944.34004) Full Text: EMIS OpenURL
Pommaret, J. F.; Quadrat, A. Localization and parametrization of linear multidimensional control systems. (English) Zbl 0948.93016 Syst. Control Lett. 37, No. 4, 247-260 (1999). MSC: 93B25 93B15 16D80 PDF BibTeX XML Cite \textit{J. F. Pommaret} and \textit{A. Quadrat}, Syst. Control Lett. 37, No. 4, 247--260 (1999; Zbl 0948.93016) Full Text: DOI OpenURL
Seiler, Werner M. Numerical analysis of constrained Hamiltonian systems and the formal theory of differential equations. (English) Zbl 1017.70505 Math. Comput. Simul. 45, No. 5-6, 561-576 (1998). MSC: 70H05 34A09 65L05 65P10 70-08 70H45 PDF BibTeX XML Cite \textit{W. M. Seiler}, Math. Comput. Simul. 45, No. 5--6, 561--576 (1998; Zbl 1017.70505) Full Text: DOI OpenURL
Le Vey, G. Some remarks on solvability and various indices for implicit differential equations. (English) Zbl 0916.34002 Numer. Algorithms 19, No. 1-4, 127-145 (1998). MSC: 34A09 PDF BibTeX XML Cite \textit{G. Le Vey}, Numer. Algorithms 19, No. 1--4, 127--145 (1998; Zbl 0916.34002) Full Text: DOI OpenURL
Reyes, Enrique G. Pseudo-spherical surfaces and integrability of evolution equations. (English) Zbl 0916.35047 J. Differ. Equations 147, No. 1, 195-230 (1998); erratum ibid. 153, No. 1, 223-224 (1999). Reviewer: Igor Barashenkov (Rondebosch) MSC: 35G10 35K25 35Q53 PDF BibTeX XML Cite \textit{E. G. Reyes}, J. Differ. Equations 147, No. 1, 195--230 (1998; Zbl 0916.35047) Full Text: DOI OpenURL
Crupi, Marilena; Restuccia, Gaetana Integrable derivations and formal groups in unequal characteristic. (English) Zbl 0930.13019 Rend. Circ. Mat. Palermo, II. Ser. 47, No. 2, 169-190 (1998). Reviewer: N.Radu (Bucureşti) MSC: 13N15 14L05 PDF BibTeX XML Cite \textit{M. Crupi} and \textit{G. Restuccia}, Rend. Circ. Mat. Palermo (2) 47, No. 2, 169--190 (1998; Zbl 0930.13019) Full Text: DOI OpenURL
Pommaret, J. F.; Quadrat, A. Generalized Bézout identity. (English) Zbl 1073.93516 Appl. Algebra Eng. Commun. Comput. 9, No. 2, 91-116 (1998). MSC: 93B25 13N10 PDF BibTeX XML Cite \textit{J. F. Pommaret} and \textit{A. Quadrat}, Appl. Algebra Eng. Commun. Comput. 9, No. 2, 91--116 (1998; Zbl 1073.93516) Full Text: DOI OpenURL
Meziani, Abdelhamid The Mizohata complex. (English) Zbl 0869.35023 Trans. Am. Math. Soc. 349, No. 3, 1029-1062 (1997). Reviewer: J.Chrastina (Brno) MSC: 35F05 58A10 PDF BibTeX XML Cite \textit{A. Meziani}, Trans. Am. Math. Soc. 349, No. 3, 1029--1062 (1997; Zbl 0869.35023) Full Text: DOI OpenURL
Sasaki, Norihito Differential geometry and integrability of the Hamiltonian system of a closed vortex filament. (English) Zbl 0873.58039 Lett. Math. Phys. 39, No. 3, 229-241 (1997). Reviewer: G.Zet (Iaşi) MSC: 37J35 37K10 76B47 PDF BibTeX XML Cite \textit{N. Sasaki}, Lett. Math. Phys. 39, No. 3, 229--241 (1997; Zbl 0873.58039) Full Text: DOI arXiv OpenURL
Li, Yingchen; Mulase, Mothico Prym varieties and integrable systems. (English) Zbl 0920.14010 Commun. Anal. Geom. 5, No. 2, 279-332 (1997). Reviewer: V.V.Chueshev (Kemerovo) MSC: 14H40 37J35 37K10 14E20 14E22 14M15 PDF BibTeX XML Cite \textit{Y. Li} and \textit{M. Mulase}, Commun. Anal. Geom. 5, No. 2, 279--332 (1997; Zbl 0920.14010) Full Text: DOI OpenURL
Soloviev, Vladimir O. Divergences in formal variational calculus and boundary terms in Hamiltonian formalism. (English) Zbl 0893.58028 Budzyński, Robert (ed.) et al., Symplectic singularities and geometry of gauge fields. Proceedings of the Banach Center symposium on differential geometry and mathematical physics in Spring 1995, Warsaw, Poland. Warsaw: Polish Academy of Sciences, Inst. of Mathematics, Banach Cent. Publ. 39, 373-388 (1997). MSC: 37J99 70Sxx 37J35 37K10 PDF BibTeX XML Cite \textit{V. O. Soloviev}, Banach Cent. Publ. 39, 373--388 (1997; Zbl 0893.58028) Full Text: arXiv EuDML OpenURL
Giachetta, Giovanni; Mangiarotti, Luigi Gauge invariance and formal integrability of the Yang-Mills-Higgs equations. (English) Zbl 0867.58070 Int. J. Theor. Phys. 35, No. 7, 1405-1422 (1996). MSC: 58J60 35N10 53C07 81T13 PDF BibTeX XML Cite \textit{G. Giachetta} and \textit{L. Mangiarotti}, Int. J. Theor. Phys. 35, No. 7, 1405--1422 (1996; Zbl 0867.58070) Full Text: DOI OpenURL
Satır, Ahmet Preliminary classification of \(q_ t=f(q,q_ x,q_{xx},q_{xxx})\). (English) Zbl 0864.35100 J. Math. Phys. 37, No. 6, 3050-3061 (1996). MSC: 35Q58 58J70 PDF BibTeX XML Cite \textit{A. Satır}, J. Math. Phys. 37, No. 6, 3050--3061 (1996; Zbl 0864.35100) Full Text: DOI OpenURL
Bolsinov, Alexei V.; Fomenko, Anatolii T.; Zhang, Xingru The strong, semi-strong, and quasi-semi-strong bordism groups of integrable Hamiltonian systems of differential equations with two degrees of freedom. (English) Zbl 0909.58019 Russ. J. Math. Phys. 3, No. 4, 423-452 (1995). MSC: 37J35 37K10 55N22 57R75 PDF BibTeX XML Cite \textit{A. V. Bolsinov} et al., Russ. J. Math. Phys. 3, No. 4, 423--452 (1995; Zbl 0909.58019) OpenURL
Conte, Robert Singularities of differential equations and integrability. (English) Zbl 0948.34065 Benest, Daniel (ed.) et al., An introduction to methods of complex analysis and geometry for classical mechanics and nonlinear waves. Proceedings of the 3rd workshop in astronomy and astrophysics, Chamonix, France, February 1-6, 1993. Gif-sur-Yvette: Editions Frontières. 49-143 (1994). MSC: 34M35 34M25 34A34 PDF BibTeX XML Cite \textit{R. Conte}, in: An introduction to methods of complex analysis and geometry for classical mechanics and nonlinear waves. Proceedings of the 3rd workshop in astronomy and astrophysics, Chamonix, France, February 1--6, 1993. Gif-sur-Yvette: Editions Frontières. 49--143 (1994; Zbl 0948.34065) OpenURL
Balandin, S. P.; Suleimanov, B. I. Linearization of a Burgers-type system related to a Hamiltonian structure of ordinary second-order differential equations. (English. Russian original) Zbl 0856.35112 Differ. Equations 30, No. 12, 1998-2000 (1994); translation from Differ. Uravn. 30, No. 12, 2175-2176 (1994). Reviewer: V.Chernyatin (Szczecin) MSC: 35Q53 37J35 37K10 35C10 PDF BibTeX XML Cite \textit{S. P. Balandin} and \textit{B. I. Suleimanov}, Differ. Equations 30, No. 12, 1998--2000 (1994; Zbl 0856.35112); translation from Differ. Uravn. 30, No. 12, 2175--2176 (1994) OpenURL
Doktorov, E. V. On the theory of perturbations for multidimensional solitons. (Russian. English summary) Zbl 0826.35082 Dokl. Akad. Nauk Belarusi 38, No. 5, 33-37 (1994). Reviewer: J.Appell (Würzburg) MSC: 35N15 35Q51 37J35 37K10 PDF BibTeX XML Cite \textit{E. V. Doktorov}, Dokl. Akad. Nauk Belarusi 38, No. 5, 33--37 (1994; Zbl 0826.35082) OpenURL