Pogrebkov, Andrei K. Negative times of the Davey-Stewartson integrable hierarchy. (English) Zbl 07431230 SIGMA, Symmetry Integrability Geom. Methods Appl. 17, Paper 091, 12 p. (2021). MSC: 37K10 35Q51 PDF BibTeX XML Cite \textit{A. K. Pogrebkov}, SIGMA, Symmetry Integrability Geom. Methods Appl. 17, Paper 091, 12 p. (2021; Zbl 07431230) Full Text: DOI arXiv OpenURL
Ablowitz, Mark J.; Musslimani, Ziad H. Integrable space-time shifted nonlocal nonlinear equations. (English) Zbl 07411241 Phys. Lett., A 409, Article ID 127516, 6 p. (2021). MSC: 81-XX 82-XX PDF BibTeX XML Cite \textit{M. J. Ablowitz} and \textit{Z. H. Musslimani}, Phys. Lett., A 409, Article ID 127516, 6 p. (2021; Zbl 07411241) Full Text: DOI OpenURL
Benassi, Costanza; Dell’Atti, Marta; Moro, Antonio Symmetric matrix ensemble and integrable hydrodynamic chains. (English) Zbl 1481.37073 Lett. Math. Phys. 111, No. 3, Paper No. 78, 25 p. (2021). Reviewer: Ti-Jun Xiao (Fudan) MSC: 37K10 37K25 60B20 15B52 PDF BibTeX XML Cite \textit{C. Benassi} et al., Lett. Math. Phys. 111, No. 3, Paper No. 78, 25 p. (2021; Zbl 1481.37073) Full Text: DOI arXiv OpenURL
Gürses, Metin; Pekcan, Aslı \((2+1)\)-dimensional AKNS \((-N)\) systems. II. (English) Zbl 1459.35079 Commun. Nonlinear Sci. Numer. Simul. 97, Article ID 105736, 17 p. (2021). MSC: 35C08 35Q53 35Q55 PDF BibTeX XML Cite \textit{M. Gürses} and \textit{A. Pekcan}, Commun. Nonlinear Sci. Numer. Simul. 97, Article ID 105736, 17 p. (2021; Zbl 1459.35079) Full Text: DOI OpenURL
Gonzalez Leon, M. A.; Mateos Guilarte, J.; de la Torre Mayado, M. Electron-positron planar orbits in a constant magnetic field. (English) Zbl 07491095 Physica D 404, Article ID 132349, 11 p. (2020). MSC: 81R12 81P55 35B32 70M20 70F05 78A35 15A21 PDF BibTeX XML Cite \textit{M. A. Gonzalez Leon} et al., Physica D 404, Article ID 132349, 11 p. (2020; Zbl 07491095) Full Text: DOI arXiv OpenURL
Shaikhova, Gaukhar; Serikbayev, Nurzhan; Yesmakhanova, Kuralay; Myrzakulov, Ratbay Nonlocal complex modified Korteweg-de Vries equations: reductions and exact solutions. (English) Zbl 1478.37069 Mladenov, Ivaïlo M. (ed.) et al., Proceedings of the 21st international conference on geometry, integrability and quantization, Varna, Bulgaria, June 3–8, 2019. Sofia: Avangard Prima; Sofia: Bulgarian Academy of Sciences, Institute of Biophysics and Biomedical Engineering. Geom. Integrability Quantization 21, 265-271 (2020). MSC: 37K10 37K35 35Q53 PDF BibTeX XML Cite \textit{G. Shaikhova} et al., Geom. Integrability Quantization 21, 265--271 (2020; Zbl 1478.37069) Full Text: DOI OpenURL
Zhu, Xiaoming A coupled \((2+1)\)-dimensional mKdV system and its nonlocal reductions. (English) Zbl 1455.37055 Commun. Nonlinear Sci. Numer. Simul. 91, Article ID 105438, 10 p. (2020). MSC: 37K10 37K35 35Q53 35Q51 PDF BibTeX XML Cite \textit{X. Zhu}, Commun. Nonlinear Sci. Numer. Simul. 91, Article ID 105438, 10 p. (2020; Zbl 1455.37055) Full Text: DOI OpenURL
Gürses, Metin; Pekcan, Aslı; Zheltukhin, Kostyantyn Discrete symmetries and nonlocal reductions. (English) Zbl 1448.37065 Phys. Lett., A 384, No. 3, Article ID 126065, 5 p. (2020). MSC: 37J35 37K06 PDF BibTeX XML Cite \textit{M. Gürses} et al., Phys. Lett., A 384, No. 3, Article ID 126065, 5 p. (2020; Zbl 1448.37065) Full Text: DOI arXiv OpenURL
Gürses, Metin; Pekcan, Aslı; Zheltukhin, Kostyantyn Nonlocal hydrodynamic type of equations. (English) Zbl 1450.35014 Commun. Nonlinear Sci. Numer. Simul. 85, Article ID 105242, 12 p. (2020). MSC: 35A30 35Q55 37K10 PDF BibTeX XML Cite \textit{M. Gürses} et al., Commun. Nonlinear Sci. Numer. Simul. 85, Article ID 105242, 12 p. (2020; Zbl 1450.35014) Full Text: DOI arXiv OpenURL
Ablowitz, Mark J.; Luo, Xu-Dan; Musslimani, Ziad H. Discrete nonlocal nonlinear Schrödinger systems: integrability, inverse scattering and solitons. (English) Zbl 1446.37062 Nonlinearity 33, No. 7, 3653-3707 (2020). Reviewer: Eszter Gselmann (Debrecen) MSC: 37K15 37K60 39A36 39A12 35Q55 PDF BibTeX XML Cite \textit{M. J. Ablowitz} et al., Nonlinearity 33, No. 7, 3653--3707 (2020; Zbl 1446.37062) Full Text: DOI OpenURL
Feng, Wei; Zhao, Song-Lin Cauchy matrix type solutions for the nonlocal nonlinear Schrödinger equation. (English) Zbl 1441.35218 Rep. Math. Phys. 84, No. 1, 75-83 (2019). MSC: 35Q55 37K10 PDF BibTeX XML Cite \textit{W. Feng} and \textit{S.-L. Zhao}, Rep. Math. Phys. 84, No. 1, 75--83 (2019; Zbl 1441.35218) Full Text: DOI OpenURL
Camassa, Roberto; Falqui, Gregorio; Ortenzi, Giovanni; Pedroni, Marco On the geometry of extended self-similar solutions of the Airy shallow water equations. (English) Zbl 1437.37067 SIGMA, Symmetry Integrability Geom. Methods Appl. 15, Paper 087, 17 p. (2019). Reviewer: Luisa Consiglieri (Lisboa) MSC: 37J35 37K10 37K25 37K06 76M55 35Q35 PDF BibTeX XML Cite \textit{R. Camassa} et al., SIGMA, Symmetry Integrability Geom. Methods Appl. 15, Paper 087, 17 p. (2019; Zbl 1437.37067) Full Text: DOI arXiv OpenURL
Yan, Zhenya A novel hierarchy of two-family-parameter equations: local, nonlocal, and mixed-local-nonlocal vector nonlinear Schrödinger equations. (English) Zbl 1461.37073 Appl. Math. Lett. 79, 123-130 (2018). MSC: 37K10 37K06 35Q55 PDF BibTeX XML Cite \textit{Z. Yan}, Appl. Math. Lett. 79, 123--130 (2018; Zbl 1461.37073) Full Text: DOI arXiv OpenURL
Zhao, Song-Lin The Sylvester equation and integrable equations: the Ablowitz-Kaup-Newell-Segur system. (English) Zbl 1441.37077 Rep. Math. Phys. 82, No. 2, 241-263 (2018). MSC: 37K10 35Q53 PDF BibTeX XML Cite \textit{S.-L. Zhao}, Rep. Math. Phys. 82, No. 2, 241--263 (2018; Zbl 1441.37077) Full Text: DOI OpenURL
Gürses, Metin; Pekcan, Aslı Integrable nonlocal reductions. (English) Zbl 1421.35336 Kac, Victor G. (ed.) et al., Symmetries, differential equations and applications. SDEA-III, Istanbul, Turkey, August 14–17, 2017. Selected papers based on the presentations at the conference. Cham: Springer. Springer Proc. Math. Stat. 266, 27-52 (2018). MSC: 35Q55 35Q53 37K10 35C08 PDF BibTeX XML Cite \textit{M. Gürses} and \textit{A. Pekcan}, Springer Proc. Math. Stat. 266, 27--52 (2018; Zbl 1421.35336) Full Text: DOI arXiv OpenURL
Yanovski, A. B.; Valchev, T. I. Pseudo-Hermitian reduction of a generalized Heisenberg ferromagnet equation. I: Auxiliary system and fundamental properties. (English) Zbl 1411.37057 J. Nonlinear Math. Phys. 25, No. 2, 324-350 (2018). MSC: 37K10 37K30 35Q55 35Q51 PDF BibTeX XML Cite \textit{A. B. Yanovski} and \textit{T. I. Valchev}, J. Nonlinear Math. Phys. 25, No. 2, 324--350 (2018; Zbl 1411.37057) Full Text: DOI arXiv OpenURL
Xenitidis, Pavlos Deautonomizations of integrable equations and their reductions. (English) Zbl 1401.37079 J. Integrable Syst. 3, Article ID xyy009, 22 p. (2018). Reviewer: Eszter Gselmann (Debrecen) MSC: 37K10 39A14 PDF BibTeX XML Cite \textit{P. Xenitidis}, J. Integrable Syst. 3, Article ID xyy009, 22 p. (2018; Zbl 1401.37079) Full Text: DOI OpenURL
Holba, P.; Krasil’Shchik, I. S.; Morozov, O. I.; Vojčák, P. 2D reductions of the equation \(u_{yy} = u_{tx} + u_y u_{xx} - u_x u_{xy}\) and their nonlocal symmetries. (English) Zbl 1420.35024 J. Nonlinear Math. Phys. 24, Suppl. 1, 36-47 (2017). MSC: 35B06 37K10 PDF BibTeX XML Cite \textit{P. Holba} et al., J. Nonlinear Math. Phys. 24, 36--47 (2017; Zbl 1420.35024) Full Text: DOI arXiv OpenURL
Xu, Min-Hui; Jia, Man Exact solutions, symmetry reductions, Painlevé test and Bäcklund transformations of a coupled KdV equation. (English) Zbl 1377.35231 Commun. Theor. Phys. 68, No. 4, 417-424 (2017). MSC: 35Q53 37K35 37K10 PDF BibTeX XML Cite \textit{M.-H. Xu} and \textit{M. Jia}, Commun. Theor. Phys. 68, No. 4, 417--424 (2017; Zbl 1377.35231) Full Text: DOI OpenURL
Contatto, Felipe; Dunajski, Maciej Manton’s five vortex equations from self-duality. (English) Zbl 1375.81176 J. Phys. A, Math. Theor. 50, No. 37, Article ID 375201, 13 p. (2017). MSC: 81T13 81T08 53C80 81V25 35Q51 PDF BibTeX XML Cite \textit{F. Contatto} and \textit{M. Dunajski}, J. Phys. A, Math. Theor. 50, No. 37, Article ID 375201, 13 p. (2017; Zbl 1375.81176) Full Text: DOI arXiv OpenURL
Liu, Jiang; Wang, Deng-Shan; Yin, Yan-Bin Lie symmetry analysis of the inhomogeneous Toda lattice equation via semi-discrete exterior calculus. (English) Zbl 1370.37128 Commun. Theor. Phys. 67, No. 6, 643-647 (2017). MSC: 37K10 39A12 39A14 PDF BibTeX XML Cite \textit{J. Liu} et al., Commun. Theor. Phys. 67, No. 6, 643--647 (2017; Zbl 1370.37128) Full Text: DOI OpenURL
Brini, Andrea; Carlet, Guido; Romano, Stefano; Rossi, Paolo Rational reductions of the 2D-Toda hierarchy and mirror symmetry. (English) Zbl 1368.81139 J. Eur. Math. Soc. (JEMS) 19, No. 3, 835-880 (2017). Reviewer: Sergiy Koshkin (Houston) MSC: 81R12 37K10 14H70 14J33 14N35 17B80 PDF BibTeX XML Cite \textit{A. Brini} et al., J. Eur. Math. Soc. (JEMS) 19, No. 3, 835--880 (2017; Zbl 1368.81139) Full Text: DOI arXiv OpenURL
Li, Ting; Wo, Weifeng Optimal system and group-invariant solutions for the GdKP equation. (Chinese. English summary) Zbl 1363.35323 Pure Appl. Math. 32, No. 3, 324-330 (2016). MSC: 35Q53 37K10 PDF BibTeX XML Cite \textit{T. Li} and \textit{W. Wo}, Pure Appl. Math. 32, No. 3, 324--330 (2016; Zbl 1363.35323) Full Text: DOI OpenURL
Akhmedova, V.; Zabrodin, A. Dispersionless Pfaff-Toda hierarchy and elliptic Löwner equation. (English) Zbl 1350.37073 J. Math. Phys. 57, No. 9, 093507, 9 p. (2016). MSC: 37K10 35J46 37K20 PDF BibTeX XML Cite \textit{V. Akhmedova} and \textit{A. Zabrodin}, J. Math. Phys. 57, No. 9, 093507, 9 p. (2016; Zbl 1350.37073) Full Text: DOI arXiv OpenURL
Chen, Junchao; Chen, Yong; Feng, Bao-Feng; Maruno, Ken-Ichi; Ohta, Yasuhiro An integrable semi-discretization of the coupled Yajima-Oikawa system. (English) Zbl 1343.37063 J. Phys. A, Math. Theor. 49, No. 16, Article ID 165201, 19 p. (2016). MSC: 37K10 35Q53 35Q55 39A12 35C08 PDF BibTeX XML Cite \textit{J. Chen} et al., J. Phys. A, Math. Theor. 49, No. 16, Article ID 165201, 19 p. (2016; Zbl 1343.37063) Full Text: DOI arXiv OpenURL
Baran, H.; Krasil’shchik, I. S.; Morozov, O. I.; Vojčák, P. Integrability properties of some equations obtained by symmetry reductions. (English) Zbl 1420.35021 J. Nonlinear Math. Phys. 22, No. 2, 210-232 (2015). MSC: 35B06 37K10 PDF BibTeX XML Cite \textit{H. Baran} et al., J. Nonlinear Math. Phys. 22, No. 2, 210--232 (2015; Zbl 1420.35021) Full Text: DOI OpenURL
Yanovski, Alexandar Recursion operators for rational bundle on \(\mathfrak{sl} (3, {\mathbb C})\) with \({\mathbb Z}_2 \times {\mathbb Z}_2 \times {\mathbb Z}_2\) reduction of Mikhailov type. (English) Zbl 1349.35327 Mladenov, Ivaïlo M. (ed.) et al., Proceedings of the 16th international conference on geometry, integrability and quantization, Sts. Constantine and Elena (near Varna), Bulgaria, June 6–11, 2014. Sofia: Avangard Prima. 301-311 (2015). MSC: 35Q51 37K05 37K10 37K15 37K25 PDF BibTeX XML Cite \textit{A. Yanovski}, in: Proceedings of the 16th international conference on geometry, integrability and quantization, Sts. Constantine and Elena (near Varna), Bulgaria, June 6--11, 2014. Sofia: Avangard Prima. 301--311 (2015; Zbl 1349.35327) Full Text: DOI OpenURL
Valchev, Tihomir On Mikhailov’s reduction group. (English) Zbl 1343.35217 Phys. Lett., A 379, No. 34-35, 1877-1880 (2015). MSC: 35Q55 37J35 37K10 35P25 35A08 PDF BibTeX XML Cite \textit{T. Valchev}, Phys. Lett., A 379, No. 34--35, 1877--1880 (2015; Zbl 1343.35217) Full Text: DOI Link OpenURL
Willox, Ralph; Hattori, Madoka Discretisations of constrained KP hierarchies. (English) Zbl 1339.37062 J. Math. Sci., Tokyo 22, No. 3, 613-661 (2015). MSC: 37K10 39A10 PDF BibTeX XML Cite \textit{R. Willox} and \textit{M. Hattori}, J. Math. Sci., Tokyo 22, No. 3, 613--661 (2015; Zbl 1339.37062) Full Text: arXiv Link OpenURL
Hay, Mike; Howes, Phil; Nakazono, Nobutaka; Shi, Yang A systematic approach to reductions of type-Q ABS equations. (English) Zbl 1325.37042 J. Phys. A, Math. Theor. 48, No. 9, Article ID 095201, 24 p. (2015). Reviewer: Vladislav Nikolaevich Dumachev (Voronezh) MSC: 37K10 PDF BibTeX XML Cite \textit{M. Hay} et al., J. Phys. A, Math. Theor. 48, No. 9, Article ID 095201, 24 p. (2015; Zbl 1325.37042) Full Text: DOI arXiv OpenURL
Baran, H.; Krasil’Shchik, I. S.; Morozov, O. I.; Vojčák, P. Symmetry reductions and exact solutions of Lax integrable 3-dimensional systems. (English) Zbl 1420.35020 J. Nonlinear Math. Phys. 21, No. 4, 643-671 (2014). MSC: 35B06 37K10 PDF BibTeX XML Cite \textit{H. Baran} et al., J. Nonlinear Math. Phys. 21, No. 4, 643--671 (2014; Zbl 1420.35020) Full Text: DOI arXiv OpenURL
Gordoa, P. R.; Pickering, A.; Wattis, J. A. D. Nonisospectral scattering problems and similarity reductions. (English) Zbl 1334.37088 Appl. Math. Comput. 237, 77-84 (2014). MSC: 37K60 35Q53 35Q35 76B15 PDF BibTeX XML Cite \textit{P. R. Gordoa} et al., Appl. Math. Comput. 237, 77--84 (2014; Zbl 1334.37088) Full Text: DOI 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
Gordoa, P. R.; Muğan, U.; Pickering, A. Generalized scaling reductions and Painlevé hierarchies. (English) Zbl 1293.35278 Appl. Math. Comput. 219, No. 15, 8104-8111 (2013). MSC: 35Q53 37K10 PDF BibTeX XML Cite \textit{P. R. Gordoa} et al., Appl. Math. Comput. 219, No. 15, 8104--8111 (2013; Zbl 1293.35278) Full Text: DOI OpenURL
Ormerod, C. M.; van der Kamp, Peter H.; Quispel, G. R. W. Discrete Painlevé equations and their Lax pairs as reductions of integrable lattice equations. (English) Zbl 1266.39012 J. Phys. A, Math. Theor. 46, No. 9, Article ID 095204, 22 p. (2013). MSC: 39A14 39A12 37K15 34M55 35Q53 PDF BibTeX XML Cite \textit{C. M. Ormerod} et al., J. Phys. A, Math. Theor. 46, No. 9, Article ID 095204, 22 p. (2013; Zbl 1266.39012) Full Text: DOI arXiv OpenURL
Xenitidis, Pavlos Reductions on the lattice and Painlevé equations \(P_2,P_5,P_6\). (English) Zbl 1290.39007 Bruno, Alexander D. (ed.) et al., Painlevé equations and related topics. Proceedings of the international conference, Saint Petersburg, Russia, June 17–23, 2011. Berlin: de Gruyter (ISBN 978-3-11-027558-2/hbk; 978-3-11-027566-7/ebook). De Gruyter Proceedings in Mathematics, 267-270 (2012). MSC: 39A14 39A10 PDF BibTeX XML Cite \textit{P. Xenitidis}, in: Painlevé equations and related topics. Proceedings of the international conference, Saint Petersburg, Russia, June 17--23, 2011. Berlin: de Gruyter. 267--270 (2012; Zbl 1290.39007) OpenURL
Ferapontov, E. V.; Novikov, V. S.; Stoilov, N. M. Dispersive deformations of Hamiltonian systems of hydrodynamic type in \(2+1\) dimensions. (English) Zbl 1321.37069 Physica D 241, No. 23-24, 2138-2144 (2012). MSC: 37K10 PDF BibTeX XML Cite \textit{E. V. Ferapontov} et al., Physica D 241, No. 23--24, 2138--2144 (2012; Zbl 1321.37069) Full Text: DOI arXiv OpenURL
Diatta, Bassirou; Einstein-Matthews, S. M. Embedding the stratified singular quiver variety. (English) Zbl 1281.16023 Int. J. Pure Appl. Math. 76, No. 4, 501-516 (2012). MSC: 16G20 53D20 17B80 58A35 PDF BibTeX XML Cite \textit{B. Diatta} and \textit{S. M. Einstein-Matthews}, Int. J. Pure Appl. Math. 76, No. 4, 501--516 (2012; Zbl 1281.16023) Full Text: Link OpenURL
Ferapontov, E. V.; Huard, B.; Zhang, A. On the central quadric ansatz: integrable models and Painlevé reductions. (English) Zbl 1252.35017 J. Phys. A, Math. Theor. 45, No. 19, Article ID 195204, 11 p. (2012). MSC: 35A25 35C05 35L10 35Q51 35Q75 37K10 PDF BibTeX XML Cite \textit{E. V. Ferapontov} et al., J. Phys. A, Math. Theor. 45, No. 19, Article ID 195204, 11 p. (2012; Zbl 1252.35017) Full Text: DOI arXiv Link OpenURL
Singh, K.; Gupta, R. K.; Kumar, Sachin Exact solutions of \(b\)-family equation: classical Lie approach and direct method. (English) Zbl 1235.35256 Int. J. Nonlinear Sci. 11, No. 1, 59-67 (2011). MSC: 35Q53 35B06 37K40 35Q35 17B80 PDF BibTeX XML Cite \textit{K. Singh} et al., Int. J. Nonlinear Sci. 11, No. 1, 59--67 (2011; Zbl 1235.35256) OpenURL
Ferapontov, Evgeny V.; Khusnutdinova, Karima R.; Klein, Christian On linear degeneracy of integrable quasilinear systems in higher dimensions. (English) Zbl 1217.35114 Lett. Math. Phys. 96, No. 1-3, 5-35 (2011). MSC: 35L60 35L65 37K10 35L45 PDF BibTeX XML Cite \textit{E. V. Ferapontov} et al., Lett. Math. Phys. 96, No. 1--3, 5--35 (2011; Zbl 1217.35114) Full Text: DOI arXiv OpenURL
Burovskiy, P. A.; Ferapontov, E. V.; Tsarev, S. P. Second-order quasilinear PDEs and conformal structures in projective space. (English) Zbl 1198.35104 Int. J. Math. 21, No. 6, 799-841 (2010). Reviewer: Lubomira Softova (Aversa) MSC: 35J62 37K05 37K10 37K25 PDF BibTeX XML Cite \textit{P. A. Burovskiy} et al., Int. J. Math. 21, No. 6, 799--841 (2010; Zbl 1198.35104) Full Text: DOI arXiv OpenURL
Broadbridge, P.; Goard, J. M. Temperature-dependent surface diffusion near a grain boundary. (English) Zbl 1188.74004 J. Eng. Math. 66, No. 1-3, 87-102 (2010). MSC: 74A50 82B24 80A20 PDF BibTeX XML Cite \textit{P. Broadbridge} and \textit{J. M. Goard}, J. Eng. Math. 66, No. 1--3, 87--102 (2010; Zbl 1188.74004) Full Text: DOI OpenURL
Grammaticos, Basil; Ramani, Alfred Singularity confinement property for the (non-autonomous) Adler-Bobenko-Suris integrable lattice equations. (English) Zbl 1190.37064 Lett. Math. Phys. 92, No. 1, 33-45 (2010). MSC: 37J35 39A12 37J15 PDF BibTeX XML Cite \textit{B. Grammaticos} and \textit{A. Ramani}, Lett. Math. Phys. 92, No. 1, 33--45 (2010; Zbl 1190.37064) Full Text: DOI OpenURL
Valchev, T. I. New integrable equations of mKdV type. (English) Zbl 1187.35227 Sekigawa, Kouei (ed.) et al., Trends in differential geometry, complex analysis and mathematical physics. Proceedings of 9th international workshop on complex structures, integrability and vector fields, Sofia, Bulgaria, August 25–29, 2008. Hackensack, NJ: World Scientific (ISBN 978-981-4277-71-6/hbk). 251-260 (2009). MSC: 35Q53 37K05 37K10 35C08 PDF BibTeX XML Cite \textit{T. I. Valchev}, in: Trends in differential geometry, complex analysis and mathematical physics. Proceedings of 9th international workshop on complex structures, integrability and vector fields, Sofia, Bulgaria, August 25--29, 2008. Hackensack, NJ: World Scientific. 251--260 (2009; Zbl 1187.35227) OpenURL
Zenchuk, A. I. Differential reductions of the Kadomtsev-Petviashvili equation and associated higher dimensional nonlinear PDEs. (English) Zbl 1179.35300 J. Phys. A, Math. Theor. 42, No. 44, Article ID 445208, 18 p. (2009). MSC: 35Q53 37K10 PDF BibTeX XML Cite \textit{A. I. Zenchuk}, J. Phys. A, Math. Theor. 42, No. 44, Article ID 445208, 18 p. (2009; Zbl 1179.35300) Full Text: DOI arXiv OpenURL
Shomron, Noam; Parlett, Beresford N. Linear algebra meets Lie algebra: the Kostant-Wallach theory. (English) Zbl 1227.15012 Linear Algebra Appl. 431, No. 10, 1745-1767 (2009). MSC: 15A18 15A21 15A29 PDF BibTeX XML Cite \textit{N. Shomron} and \textit{B. N. Parlett}, Linear Algebra Appl. 431, No. 10, 1745--1767 (2009; Zbl 1227.15012) Full Text: DOI arXiv OpenURL
Christou, M. A.; Ivanova, N. M.; Sophocleous, C. Similarity reductions of the (1 + 3)-dimensional Burgers equation. (English) Zbl 1163.35470 Appl. Math. Comput. 210, No. 1, 87-99 (2009). MSC: 35Q53 35C05 37K10 37K30 PDF BibTeX XML Cite \textit{M. A. Christou} et al., Appl. Math. Comput. 210, No. 1, 87--99 (2009; Zbl 1163.35470) Full Text: DOI OpenURL
Zhang, Li-Hua; Liu, Xi-Qiang; Bai, Cheng-Lin Symmetry, reductions and new exact solutions of ANNV equation through Lax pair. (English) Zbl 1392.37063 Commun. Theor. Phys. 50, No. 1, 1-6 (2008). MSC: 37K10 37K05 35C05 PDF BibTeX XML Cite \textit{L.-H. Zhang} et al., Commun. Theor. Phys. 50, No. 1, 1--6 (2008; Zbl 1392.37063) Full Text: DOI OpenURL
Pavlov, Maxim V. Integrability of the Gibbons-Tsarev systems. (English) Zbl 1160.35319 Buchstaber, V. M. (ed.) et al., Geometry, topology, and mathematical physics. S. P. Novikov’s seminar: 2006–2007. Selected papers of the seminar, Moscow, Russia, 2006–2007. Dedicated to S. P. Novikov on the occasion of his 70th birthday. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4674-2/hbk). Translations. Series 2. American Mathematical Society 224. Advances in the Mathematical Sciences 61, 247-259 (2008). MSC: 35A30 35L65 37K10 35Q58 PDF BibTeX XML Cite \textit{M. V. Pavlov}, Transl., Ser. 2, Am. Math. Soc. 224, 247--259 (2008; Zbl 1160.35319) Full Text: arXiv OpenURL
Rojas, O.; van der Kamp, P.; Quispel, G. R. W. Lax representation for integrable O\(\Delta\)Es. (English) Zbl 1148.37311 Gaeta, Giuseppe (ed.) et al., Symmetry and perturbation theory. Proceedings of the 6th international conference, SPT 2007, Otranto, Italy, June 2–9, 2007. Hackensack, NJ: World Scientific (ISBN 978-981-277-616-7/hbk). 271-272 (2008). MSC: 37K10 PDF BibTeX XML Cite \textit{O. Rojas} et al., in: Symmetry and perturbation theory. Proceedings of the 6th international conference, SPT 2007, Otranto, Italy, June 2--9, 2007. Hackensack, NJ: World Scientific. 271--272 (2008; Zbl 1148.37311) OpenURL
Lukas, Mike; Pelinovsky, Dmitry; Kevrekidis, P. G. Lyapunov-Schmidt reduction algorithm for three-dimensional discrete vortices. (English) Zbl 1147.35097 Physica D 237, No. 3, 339-350 (2008). MSC: 35Q55 39A12 39A11 35-04 37K60 37K40 PDF BibTeX XML Cite \textit{M. Lukas} et al., Physica D 237, No. 3, 339--350 (2008; Zbl 1147.35097) Full Text: DOI arXiv OpenURL
Odesskii, Alexander A family of \((2+1)\)-dimensional hydrodynamic type systems possessing a pseudopotential. (English) Zbl 1237.37048 Sel. Math., New Ser. 13, No. 4, 727-742 (2007). MSC: 37K10 35Q35 14H70 PDF BibTeX XML Cite \textit{A. Odesskii}, Sel. Math., New Ser. 13, No. 4, 727--742 (2007; Zbl 1237.37048) Full Text: DOI arXiv OpenURL
Ferapontov, E. V.; Marshall, D. G. Differential-geometric approach to the integrability of hydrodynamic chains: the Haantjes tensor. (English) Zbl 1145.37034 Math. Ann. 339, No. 1, 61-99 (2007). MSC: 37K10 35L60 37K25 35R20 PDF BibTeX XML Cite \textit{E. V. Ferapontov} and \textit{D. G. Marshall}, Math. Ann. 339, No. 1, 61--99 (2007; Zbl 1145.37034) Full Text: DOI arXiv OpenURL
Ohta, Y. A generalization of the disctrete UC hierarchy and its reductions. (English) Zbl 1125.37048 Elaydi, S. (ed.) et al., Difference equations, special functions and orthogonal polynomials. Proceedings of the international conference, Munich, Germany, July 25–30, 2005. Hackensack, NJ: World Scientific (ISBN 978-981-270-643-0/hbk). 471-479 (2007). MSC: 37K10 37K25 PDF BibTeX XML Cite \textit{Y. Ohta}, in: Difference equations, special functions and orthogonal polynomials. Proceedings of the international conference, Munich, Germany, July 25--30, 2005. Hackensack, NJ: World Scientific. 471--479 (2007; Zbl 1125.37048) OpenURL
van der Kamp, Peter H.; Rojas, O.; Quispel, G. R. W. Closed-form expressions for integrals of MKdV and sine-Gordon maps. (English) Zbl 1155.35447 J. Phys. A, Math. Theor. 40, No. 42, 12789-12798 (2007). MSC: 35Q53 39A13 35C05 PDF BibTeX XML Cite \textit{P. H. van der Kamp} et al., J. Phys. A, Math. Theor. 40, No. 42, 12789--12798 (2007; Zbl 1155.35447) Full Text: DOI OpenURL
Bhat, B. V. Rajarama; Mukherjee, Mithun Integrators of matrices. (English) Zbl 1133.15007 Linear Algebra Appl. 426, No. 1, 71-82 (2007). Reviewer: Alexander Guterman (Moskva) MSC: 15A15 15A21 26B15 PDF BibTeX XML Cite \textit{B. V. R. Bhat} and \textit{M. Mukherjee}, Linear Algebra Appl. 426, No. 1, 71--82 (2007; Zbl 1133.15007) Full Text: DOI OpenURL
Zhu, Zuo-Nong The \((2+1)\)-dimensional nonisospectral relativistic Toda hierarchy related to the generalized discrete Painlevé hierarchy. (English) Zbl 1116.37045 J. Phys. A, Math. Theor. 40, No. 27, 7707-7719 (2007). MSC: 37K10 PDF BibTeX XML Cite \textit{Z.-N. Zhu}, J. Phys. A, Math. Theor. 40, No. 27, 7707--7719 (2007; Zbl 1116.37045) Full Text: DOI OpenURL
Harris, Shirley E.; Clarkson, Peter A. Painlevé analysis and similarity reductions for the magma equation. (English) Zbl 1132.35328 SIGMA, Symmetry Integrability Geom. Methods Appl. 2, Paper 068, 17 p. (2006). MSC: 35C05 35Q58 37K10 PDF BibTeX XML Cite \textit{S. E. Harris} and \textit{P. A. Clarkson}, SIGMA, Symmetry Integrability Geom. Methods Appl. 2, Paper 068, 17 p. (2006; Zbl 1132.35328) Full Text: DOI arXiv EuDML EMIS OpenURL
Yong, Xuelin; Chen, Yufu Direct reductions of a nonlinear partial differential system. (English) Zbl 1107.35304 Appl. Math. Comput. 183, No. 2, 942-945 (2006). MSC: 35A22 35Q58 PDF BibTeX XML Cite \textit{X. Yong} and \textit{Y. Chen}, Appl. Math. Comput. 183, No. 2, 942--945 (2006; Zbl 1107.35304) Full Text: DOI OpenURL
Ferapontov, E. V.; Khusnutdinova, K. R.; Tsarev, S. P. On a class of three-dimensional integrable Lagrangians. (English) Zbl 1108.37045 Commun. Math. Phys. 261, No. 1, 225-243 (2006). MSC: 37K10 37K05 37K25 35Q58 PDF BibTeX XML Cite \textit{E. V. Ferapontov} et al., Commun. Math. Phys. 261, No. 1, 225--243 (2006; Zbl 1108.37045) Full Text: DOI arXiv OpenURL
Prykarpatsky, Anatoliy K.; Prytula, Mykola M. The gradient-holonomic integrability analysis of a Whitham-type nonlinear dynamical model for a relaxing medium with spatial memory. (English) Zbl 1104.37045 Nonlinearity 19, No. 9, 2115-2122 (2006). MSC: 37K10 34A26 35Q53 PDF BibTeX XML Cite \textit{A. K. Prykarpatsky} and \textit{M. M. Prytula}, Nonlinearity 19, No. 9, 2115--2122 (2006; Zbl 1104.37045) Full Text: DOI OpenURL
Pavlov, Maxim V. Classification of integrable hydrodynamic chains and generating functions of conservation laws. (English) Zbl 1098.35097 J. Phys. A, Math. Gen. 39, No. 34, 10803-10819 (2006). MSC: 35L40 35L65 37K10 PDF BibTeX XML Cite \textit{M. V. Pavlov}, J. Phys. A, Math. Gen. 39, No. 34, 10803--10819 (2006; Zbl 1098.35097) Full Text: DOI arXiv OpenURL
Svinin, Andrei K. Integrable discrete equations derived by similarity reduction of the extended discrete KP hierarchy. (English) Zbl 1128.37047 SIGMA, Symmetry Integrability Geom. Methods Appl. 2, Paper 005, 11 p. (2006). MSC: 37K10 37K35 37K60 39A10 PDF BibTeX XML Cite \textit{A. K. Svinin}, SIGMA, Symmetry Integrability Geom. Methods Appl. 2, Paper 005, 11 p. (2006; Zbl 1128.37047) Full Text: DOI arXiv EuDML EMIS OpenURL
Ferapontov, E. V.; Khusnutdinova, K. R.; Pavlov, M. V. Classification of integrable \((2+1)\)-dimensional quasilinear hierarchies. (English) Zbl 1178.37072 Theor. Math. Phys. 144, No. 1, 907-915 (2005); translation from Teor. Mat. Fiz. 144, No. 1, 35-43 (2005). MSC: 37K10 35C05 PDF BibTeX XML Cite \textit{E. V. Ferapontov} et al., Theor. Math. Phys. 144, No. 1, 907--915 (2005; Zbl 1178.37072); translation from Teor. Mat. Fiz. 144, No. 1, 35--43 (2005) Full Text: DOI Link OpenURL
Pelinovsky, D. E.; Kevrekidis, P. G.; Frantzeskakis, D. J. Persistence and stability of discrete vortices in nonlinear Schrödinger lattices. (English) Zbl 1088.39005 Physica D 212, No. 1-2, 20-53 (2005). Reviewer: Miloš Čanak (Beograd) MSC: 39A11 39A12 37K60 35Q51 35Q55 37K40 PDF BibTeX XML Cite \textit{D. E. Pelinovsky} et al., Physica D 212, No. 1--2, 20--53 (2005; Zbl 1088.39005) Full Text: DOI OpenURL
Pelinovsky, D. E.; Kevrekidis, P. G.; Frantzeskakis, D. J. Stability of discrete solitons in nonlinear Schrödinger lattices. (English) Zbl 1088.39004 Physica D 212, No. 1-2, 1-19 (2005). Reviewer: Miloš Čanak (Beograd) MSC: 39A11 39A12 37K60 35Q51 35Q55 37K40 PDF BibTeX XML Cite \textit{D. E. Pelinovsky} et al., Physica D 212, No. 1--2, 1--19 (2005; Zbl 1088.39004) Full Text: DOI OpenURL
Alonso, L. Martínez; Shabat, A. B. Hydrodynamic reductions and solutions of a universal hierarchy. (English) Zbl 1178.37067 Theor. Math. Phys. 140, No. 2, 1073-1085 (2004); translation from Teor. Mat. Fiz. 140, No. 2, 216-229 (2004). MSC: 37K10 PDF BibTeX XML Cite \textit{L. M. Alonso} and \textit{A. B. Shabat}, Theor. Math. Phys. 140, No. 2, 1073--1085 (2004; Zbl 1178.37067); translation from Teor. Mat. Fiz. 140, No. 2, 216--229 (2004) Full Text: DOI arXiv OpenURL
Loutsenko, I.; Yermolayeva, O. Finite-dimensional reductions of 2D Toda hierarchy constrained by the string equation. (English) Zbl 1096.37048 Nikitin, A.G.(ed.) et al., Proceedings of the fifth international conference on symmetry in nonlinear mathematical physics, Kyïv, Ukraine, June 23–29, 2003. Part 1. Kyïv: Institute of Mathematics of NAS of Ukraine (ISBN 966-02-3225-X). Proceedings of the Institute of Mathematics of the National Academy of Sciences of Ukraine. Mathematics and its Applications. 50(1), 430-437 (2004). Reviewer: N. M. Ivanova (Kyïv) MSC: 37K10 70H06 PDF BibTeX XML Cite \textit{I. Loutsenko} and \textit{O. Yermolayeva}, in: Proceedings of the fifth international conference on symmetry in nonlinear mathematical physics, Kyïv, Ukraine, June 23--29, 2003. Part 1. Kyïv: Institute of Mathematics of NAS of Ukraine. 430--437 (2004; Zbl 1096.37048) OpenURL
Loutsenko, I.; Yermolayeva, O. Poisson structure of rational reductions of the 2D dToda hierarchy. (English) Zbl 1095.37029 Nikitin, A.G.(ed.) et al., Proceedings of the fifth international conference on symmetry in nonlinear mathematical physics, Kyïv, Ukraine, June 23–29, 2003. Part 1. Kyïv: Institute of Mathematics of NAS of Ukraine (ISBN 966-02-3225-X). Proceedings of the Institute of Mathematics of the National Academy of Sciences of Ukraine. Mathematics and its Applications. 50(1), 438-443 (2004). Reviewer: N. M. Ivanova (Kyïv) MSC: 37K10 70H06 53D17 37K05 PDF BibTeX XML Cite \textit{I. Loutsenko} and \textit{O. Yermolayeva}, in: Proceedings of the fifth international conference on symmetry in nonlinear mathematical physics, Kyïv, Ukraine, June 23--29, 2003. Part 1. Kyïv: Institute of Mathematics of NAS of Ukraine. 438--443 (2004; Zbl 1095.37029) OpenURL
Bracken, Paul Reduction of Chern-Simons theory related to integrable systems which have geometric applications. (English) Zbl 1073.81061 Int. J. Mod. Phys. B 18, No. 9, 1261-1275 (2004). MSC: 81T13 37K10 81R12 PDF BibTeX XML Cite \textit{P. Bracken}, Int. J. Mod. Phys. B 18, No. 9, 1261--1275 (2004; Zbl 1073.81061) Full Text: DOI OpenURL
Shabat, A. B.; Martínez Alonso, L. On the prolongation of a hierarchy of hydrodynamic chains. (English) Zbl 1061.35099 Shabat, A.B.(ed.) et al., New trends in integrability and partial solvability. Proceedings of the NATO Advanced Research Workshop, Cadiz, Spain, June 12–16, 2002. Dordrecht: Kluwer Academic Publishers (ISBN 1-4020-1835-5/hbk). NATO Science Series II: Mathematics, Physics and Chemistry 132, 263-280 (2004). MSC: 35Q51 37K10 PDF BibTeX XML Cite \textit{A. B. Shabat} and \textit{L. Martínez Alonso}, NATO Sci. Ser. II, Math. Phys. Chem. 132, 263--280 (2004; Zbl 1061.35099) OpenURL
Ferapontov, E. V.; Khusnutdinova, K. R. On the integrability of \((2+1)\)-dimensional quasilinear systems. (English) Zbl 1070.37047 Commun. Math. Phys. 248, No. 1, 187-206 (2004). Reviewer: Messoud A. Efendiev (Berlin) MSC: 37K10 35F20 35L60 PDF BibTeX XML Cite \textit{E. V. Ferapontov} and \textit{K. R. Khusnutdinova}, Commun. Math. Phys. 248, No. 1, 187--206 (2004; Zbl 1070.37047) Full Text: DOI arXiv OpenURL
Mason, Lionel The anti-self-dual Yang-Mills equations and their reductions. (English) Zbl 1065.53026 Mason, Lionel (ed.) et al., Geometry and integrability. Cambridge: Cambridge University Press (ISBN 0-521-52999-9/pbk). London Mathematical Society Lecture Note Series 295, 60-88 (2003). Reviewer: Nabil L. Youssef (Giza) MSC: 53C07 37J35 37K10 37K25 PDF BibTeX XML Cite \textit{L. Mason}, Lond. Math. Soc. Lect. Note Ser. 295, 60--88 (2003; Zbl 1065.53026) OpenURL
Chen, Yu-Tung; Tu, Ming-Hsien On the dispersionless Dym hierarchy: Dressing formulation and twistor construction. (English) Zbl 1031.37058 Lett. Math. Phys. 65, No. 2, 109-124 (2003). MSC: 37K10 PDF BibTeX XML Cite \textit{Y.-T. Chen} and \textit{M.-H. Tu}, Lett. Math. Phys. 65, No. 2, 109--124 (2003; Zbl 1031.37058) Full Text: DOI OpenURL
Guil, Francisco; Mañas, Manuel; Martínez Alonso, Luis On twistor solutions of the dKP equation. (English) Zbl 1032.70011 J. Phys. A, Math. Gen. 36, No. 23, 6457-6472 (2003). MSC: 37K10 53C28 PDF BibTeX XML Cite \textit{F. Guil} et al., J. Phys. A, Math. Gen. 36, No. 23, 6457--6472 (2003; Zbl 1032.70011) Full Text: DOI arXiv Link OpenURL
Mañas, M.; Martínez Alonso, L.; Medina, E. Reductions of the dispersionless KP hierarchy. (English. Russian original) Zbl 1067.37098 Theor. Math. Phys. 133, No. 3, 1712-1721 (2002); translation from Teor. Mat. Fiz. 133, No. 3, 463-474 (2002). MSC: 37K10 PDF BibTeX XML Cite \textit{M. Mañas} et al., Theor. Math. Phys. 133, No. 3, 1712--1721 (2002; Zbl 1067.37098); translation from Teor. Mat. Fiz. 133, No. 3, 463--474 (2002) Full Text: DOI OpenURL
Mañas, Manuel; Martínez Alonso, Luis; Medina, Elena Reductions and hodograph solutions of the dispersionless KP hierarchy. (English) Zbl 1040.37057 J. Phys. A, Math. Gen. 35, No. 2, 401-417 (2002). MSC: 37K10 35L60 35Q53 76B15 PDF BibTeX XML Cite \textit{M. Mañas} et al., J. Phys. A, Math. Gen. 35, No. 2, 401--417 (2002; Zbl 1040.37057) Full Text: DOI 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
Mokhov, O. I. Compatible metrics of constant Riemannian curvature: local geometry, nonlinear equations, and integrability. (English. Russian original) Zbl 1083.53041 Funct. Anal. Appl. 36, No. 3, 196-204 (2002); translation from Funkts. Anal. Prilozh. 36, No. 3, 36-47 (2002). Reviewer: Valentin Boju (Montreal) MSC: 53C21 53C20 53B20 37K15 37K25 PDF BibTeX XML Cite \textit{O. I. Mokhov}, Funct. Anal. Appl. 36, No. 3, 196--204 (2002; Zbl 1083.53041); translation from Funkts. Anal. Prilozh. 36, No. 3, 36--47 (2002) Full Text: DOI arXiv OpenURL
Fan, En-gui Some new reductions from a Lax integrable system. (English) Zbl 1014.37043 Acta Math. Appl. Sin., Engl. Ser. 18, No. 3, 405-410 (2002). MSC: 37K10 35Q58 PDF BibTeX XML Cite \textit{E.-g. Fan}, Acta Math. Appl. Sin., Engl. Ser. 18, No. 3, 405--410 (2002; Zbl 1014.37043) Full Text: DOI OpenURL
Ugaglia, Monica On the Hamiltonian and Lagrangian structures of time-dependent reductions of evolutionary PDEs. (English) Zbl 1027.37044 Differ. Geom. Appl. 16, No. 1, 1-33 (2002). MSC: 37K10 37J15 35G20 34M55 35Q53 PDF BibTeX XML Cite \textit{M. Ugaglia}, Differ. Geom. Appl. 16, No. 1, 1--33 (2002; Zbl 1027.37044) Full Text: DOI arXiv OpenURL
Martínez Alonso, L.; Shabat, A. B. Energy-dependent potentials revisited: A universal hierarchy of hydrodynamic type. (English) Zbl 0997.37045 Phys. Lett., A 300, No. 1, 58-64 (2002). MSC: 37K10 35Q55 PDF BibTeX XML Cite \textit{L. Martínez Alonso} and \textit{A. B. Shabat}, Phys. Lett., A 300, No. 1, 58--64 (2002; Zbl 0997.37045) Full Text: DOI arXiv OpenURL
Martínez Alonso, L.; Shabat, A. B. Energy-dependent potentials revisited: a universal hierarchy of hydrodynamic type. (English) Zbl 0996.37072 Phys. Lett., A 299, No. 4, 359-365 (2002). MSC: 37K10 35Q58 PDF BibTeX XML Cite \textit{L. Martínez Alonso} and \textit{A. B. Shabat}, Phys. Lett., A 299, No. 4, 359--365 (2002; Zbl 0996.37072) Full Text: DOI OpenURL
Senthilvelan, M. On the extended applications of homogeneous balance method. (English) Zbl 1032.35159 Appl. Math. Comput. 123, No. 3, 381-388 (2001). MSC: 35Q53 35Q58 35C05 PDF BibTeX XML Cite \textit{M. Senthilvelan}, Appl. Math. Comput. 123, No. 3, 381--388 (2001; Zbl 1032.35159) Full Text: DOI OpenURL
Gordoa, Pilar R.; Joshi, Nalini; Pickering, Andrew On a generalized \(2+1\) dispersive water wave hierarchy. (English) Zbl 0997.35094 Publ. Res. Inst. Math. Sci. 37, No. 3, 327-347 (2001). MSC: 35Q58 37K10 34M55 PDF BibTeX XML Cite \textit{P. R. Gordoa} et al., Publ. Res. Inst. Math. Sci. 37, No. 3, 327--347 (2001; Zbl 0997.35094) Full Text: DOI OpenURL
Khesin, Boris A. A Poisson-Lie framework for rational reductions of the KP hierarchy. (English) Zbl 1168.37319 Lett. Math. Phys. 58, No. 2, 101-107 (2001). MSC: 37K10 PDF BibTeX XML Cite \textit{B. A. Khesin}, Lett. Math. Phys. 58, No. 2, 101--107 (2001; Zbl 1168.37319) Full Text: DOI OpenURL
Doliwa, Adam Integrable multidimensional discrete geometry. (English) Zbl 0981.35085 Aratyn, Henrik (ed.) et al., Integrable hierarchies and modern physical theories. Proceedings of the NATO advanced research Workshop, Chicago, IL, USA, July 22-26, 2000. Dordrecht: Kluwer Academic Publishers. NATO Sci. Ser. II, Math. Phys. Chem. 18, 355-389 (2001). MSC: 35Q58 37K25 37K60 PDF BibTeX XML Cite \textit{A. Doliwa}, NATO Sci. Ser. II, Math. Phys. Chem. 18, 355--389 (2001; Zbl 0981.35085) OpenURL
Lundmark, Hans A new class of integrable Newton systems. (English) Zbl 0993.70015 J. Nonlinear Math. Phys. 8, Suppl., 195-199 (2001). MSC: 70H06 37N05 PDF BibTeX XML Cite \textit{H. Lundmark}, J. Nonlinear Math. Phys. 8, 195--199 (2001; Zbl 0993.70015) Full Text: DOI OpenURL
Hone, A. N. W. Coupled Painlevé systems and quartic potentials. (English) Zbl 0985.37077 J. Phys. A, Math. Gen. 34, No. 11, 2235-2245 (2001). MSC: 37K10 35Q53 34M55 81Q05 PDF BibTeX XML Cite \textit{A. N. W. Hone}, J. Phys. A, Math. Gen. 34, No. 11, 2235--2245 (2001; Zbl 0985.37077) Full Text: DOI OpenURL
Singer, Stephanie Frank Symmetry in mechanics. A gentle, modern introduction. (English) Zbl 0970.70003 Basel: Birkhäuser. xii, 193 p. (2001). Reviewer: Ivailo Mladenov (Sofia) MSC: 70-01 70G65 70H06 70F05 PDF BibTeX XML Cite \textit{S. F. Singer}, Symmetry in mechanics. A gentle, modern introduction. Basel: Birkhäuser (2001; Zbl 0970.70003) OpenURL
Brodbeck, Othmar; Zagermann, Marco Dimensionally reduced gravity, Hermitian symmetric spaces and the Ashtekar variables. (English) Zbl 1040.83003 Classical Quantum Gravity 17, No. 14, 2749-2763 (2000). Reviewer: Dimitrii V. Alekseevsky (Hull) MSC: 83C05 83C20 37K10 37K30 83C80 81R12 PDF BibTeX XML Cite \textit{O. Brodbeck} and \textit{M. Zagermann}, Classical Quantum Gravity 17, No. 14, 2749--2763 (2000; Zbl 1040.83003) Full Text: DOI arXiv OpenURL
Kopych, M. I. Symplectic invariant reductions of completely integrable dynamical systems on functional spaces and their invariant submanifolds. (Ukrainian) Zbl 1074.37519 Nelinijni Kolyvannya 3, No. 2, 206-217 (2000). Reviewer: A. Karimzhanov (Andizhan) MSC: 37K10 37J35 PDF BibTeX XML Cite \textit{M. I. Kopych}, Neliniĭni Kolyvannya 3, No. 2, 206--217 (2000; Zbl 1074.37519) OpenURL
Curtright, Thomas Schrödinger’s cataplex. (English) Zbl 1014.81038 Kursunoglu, Behram N. (ed.) et al., Quantum gravity, generalized theory of gravitation, and superstring theory-based unification. Proceedings of the Orbis Scientiae, the 28th conference on high energy physics and cosmology, Fort Lauderdale, FL, USA, December 16-19, 1999. Dordrecht: Kluwer Academic/ Plenum Publishers. 121-132 (2000). MSC: 81T10 81P05 PDF BibTeX XML Cite \textit{T. Curtright}, in: Quantum gravity, generalized theory of gravitation, and superstring theory-based unification. Proceedings of the Orbis Scientiae, the 28th conference on high energy physics and cosmology, Fort Lauderdale, FL, USA, December 16--19, 1999. Dordrecht: Kluwer Academic/ Plenum Publishers. 121--132 (2000; Zbl 1014.81038) Full Text: arXiv OpenURL
Lou, Sen-yue; Tang, Xiao-yan; Lin, Ji Similarity and conditional similarity reductions of a \((2+1)\)-dimensional KdV equation via a direct method. (English) Zbl 1004.37047 J. Math. Phys. 41, No. 12, 8286-8303 (2000). Reviewer: Mamed Rajabov (Baku) MSC: 37K10 PDF BibTeX XML Cite \textit{S.-y. Lou} et al., J. Math. Phys. 41, No. 12, 8286--8303 (2000; Zbl 1004.37047) Full Text: DOI OpenURL
Casati, P.; Konopelchenko, B.; Pedroni, M. A bi-Hamiltonian approach to hidden KP equations. (English) Zbl 0977.35117 Mat. Contemp. 18, 59-75 (2000). MSC: 35Q53 37K10 35Q51 PDF BibTeX XML Cite \textit{P. Casati} et al., Mat. Contemp. 18, 59--75 (2000; Zbl 0977.35117) OpenURL
Yu, Lei Waterbag reductions of the dispersionless discrete KP hierarchy. (English) Zbl 0973.37044 J. Phys. A, Math. Gen. 33, No. 45, 8127-8138 (2000). MSC: 37K10 39A12 35Q53 PDF BibTeX XML Cite \textit{L. Yu}, J. Phys. A, Math. Gen. 33, No. 45, 8127--8138 (2000; Zbl 0973.37044) Full Text: DOI OpenURL
Doliwa, Adam; Santíni, Paolo Maria The symmetric, \(d\)-invariant and Egorov reductions of the quadrilateral lattice. (English) Zbl 0997.37052 J. Geom. Phys. 36, No. 1-2, 60-102 (2000). Reviewer: Messoud Efendiev (Berlin) MSC: 37K10 35Q58 37K40 39A10 52C07 PDF BibTeX XML Cite \textit{A. Doliwa} and \textit{P. M. Santíni}, J. Geom. Phys. 36, No. 1--2, 60--102 (2000; Zbl 0997.37052) Full Text: DOI arXiv OpenURL
Senthilvelan, M. Kac-Moody-Virasoro algebras and integrability of certain higher dimensional nonlinear evolutionary equations. (English) Zbl 0958.37055 Levi, Decio (ed.) et al., SIDE III - Symmetries and integrability of difference equations. Proceedings of the 3rd conference, Sabaudia, Italy, May 16-22, 1998. Providence, RI: American Mathematical Society (AMS). CRM Proc. Lect. Notes. 25, 401-406 (2000). MSC: 37K30 37K10 17B80 17B68 PDF BibTeX XML Cite \textit{M. Senthilvelan}, in: SIDE III -- Symmetries and integrability of difference equations. Proceedings of the 3rd conference, Sabaudia, Italy, May 16--22, 1998. Providence, RI: American Mathematical Society (AMS). 401--406 (2000; Zbl 0958.37055) OpenURL
Yu, L.; Gibbons, J. The initial value problem for reductions of the Benney equations. (English) Zbl 0961.35156 Inverse Probl. 16, No. 3, 605-618 (2000). MSC: 35Q58 37K20 PDF BibTeX XML Cite \textit{L. Yu} and \textit{J. Gibbons}, Inverse Probl. 16, No. 3, 605--618 (2000; Zbl 0961.35156) Full Text: DOI OpenURL