## Found 127 Documents (Results 1–100)

100
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### $$q$$-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).
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### 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).
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### Symmetries and conservation laws for a generalization of Kawahara equation. (English)Zbl 07190545

MSC:  37K06 37K10
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### Compacton equations and integrability: the Rosenau-Hyman and Cooper-Shepard-Sodano equations. (English)Zbl 1431.37054

MSC:  37K10 37K06 35Q53
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### About the projective Finsler metrizability: first steps in the non-isotropic case. (English)Zbl 1453.53067

MSC:  53C60 53C22
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### 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).
MSC:  37K10 35Q55 35L05
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### 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).
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MSC:  58A30
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### On weakly commutative triples of partial differential operators. (Russian. English summary)Zbl 1386.35374

MSC:  35Q53 37K10 12E15
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### Flattening of CR singular points and analyticity of the local hull of holomorphy. II. (English)Zbl 1366.32012

MSC:  32V40 32E05
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### The profinite dimensional manifold structure of formal solution spaces of formally integrable PDEs. (English)Zbl 1367.58002

MSC:  58A05 58A20 35A30
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### Formal first integrals of general dynamical systems. (English)Zbl 06625330

MSC:  34A05 34C45 34A25
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### On the analytic integrability of the Liénard analytic differential systems. (English)Zbl 1335.34004

MSC:  34A05 34C14
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### On the determination of semi-inverse solutions of nonlinear Cauchy elasticity: the not so simple case of anti-plane shear. (English)Zbl 1423.74136

MSC:  74B20 74G75
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### Integrability conditions for a class of complex cubic Lotka-Volterra systems with a 1:-4 resonant singular point. (Chinese. English summary)Zbl 1340.34003

MSC:  34A05 34C05

### 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).
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### Dispersionless integrable systems in 3D and Einstein-Weyl geometry. (English)Zbl 1306.37084

MSC:  37K25 37K10 53C50
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### Integrability conditions for a class of complex cubic Lotka-Volterra systems with a $$4:-5$$ resonant singular point. (Chinese. English summary)Zbl 1299.34114

MSC:  34C05 34A05

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MSC:  35Q53
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### A complete list of conservation laws for non-integrable compacton equations of $$K(m,m)$$ type. (English)Zbl 1393.37072

MSC:  37K05 37K10 35Q53
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### 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
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### 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

### 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).
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### 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

### Formal linearization and exact solutions of Kadomtsev-Petviashvili (KP) equation. (English)Zbl 1234.35231

MSC:  35Q53 47F05 37K10

### Analytical integrability of the Rikitake system. (English)Zbl 1227.34003

MSC:  34A05 34A25
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### Symmetries and algebras of a $$(2+1)$$-dimensional MKdV-type system. (English)Zbl 1219.35264

MSC:  35Q53 37K05 37K10 35B06 35C10
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### Formal groups arising from formal punctured ribbons. (English)Zbl 1203.14012

MSC:  14D15 14D20 37K10
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### 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).
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### Existence and construction of Vessiot connections. (English)Zbl 1189.35014

MSC:  35A30 35N99 58A20
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### The prescribed curvature problem in dimension four. (English)Zbl 1183.53020

MSC:  53C05 17B20 58A20
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### Formal integrability criteria for nonlinear partial difference equations. (English)Zbl 1183.39006

MSC:  39A14 58A15 37K10
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### The integrability problem for a class of planar systems. (English)Zbl 1165.34023

MSC:  34C20 34C05 34A05
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### 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
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### 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).
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### 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

MSC:  35G20 35B05

### Towards the classification of scalar nonpolynomial evolution equations: quasilinearity. (English)Zbl 1082.35015

MSC:  35A30 58J70
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### 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).

### Integrability of the field equations of invariant variational problems on linear frame bundles. (English)Zbl 1159.58304

MSC:  58E30 35A30 35F20 37K05 58A20
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### Locality of symmetries generated by nonhereditary, inhomogeneous, and time-dependent recursion operators: a new application for formal symmetries. (English)Zbl 1162.37328

MSC:  37K10 35Q53
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### 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

### Dispersionless scalar integrable hierarchies, Whitham hierarchy, and the quasiclassical $$\overline\partial$$-dressing method. (English)Zbl 1060.37056

MSC:  37K10 35N15 37K15
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### Fourth-order analogies to the Painlevé equations. (English)Zbl 1066.34086

MSC:  34M25 37K10
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### 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
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### A differential equations approach to Hamiltonian systems. (English)Zbl 1018.37035

MSC:  37J05 34A26 53D05 70G45 70H45
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### Extension of the discrete KP hierarchy. (English)Zbl 1002.37036

MSC:  37K60 37K10 39A12
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### On multiplicative integrability of derivations in characteristic $$p>0$$. (English)Zbl 1048.14029

MSC:  14L05 13N15 14L30
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### On formal integrability of evolution equations and local geometry of surfaces. (English)Zbl 1019.37044

MSC:  37K25 35Q53 37K05 53A05 35Q51 35Q58 37K35
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### 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
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### 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

### Some geometric aspects of integrability of differential equations in two independent variables. (English)Zbl 0995.35054

Reviewer: Geng, Xiangu
MSC:  35Q51 37K10 37K25 37K05
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### Integrability of Lie equations and pseudogroups. (English)Zbl 0973.58008

MSC:  58H05 22E65
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### $$G$$-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).
MSC:  53B05 58A20

### 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

### 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).
MSC:  37K10 37K05 58J70

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### 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).

### 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).
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### Localization and parametrization of linear multidimensional control systems. (English)Zbl 0948.93016

MSC:  93B25 93B15 16D80
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MSC:  34A09
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### Integrable derivations and formal groups in unequal characteristic. (English)Zbl 0930.13019

MSC:  13N15 14L05
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### Generalized Bézout identity. (English)Zbl 1073.93516

MSC:  93B25 13N10
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### The Mizohata complex. (English)Zbl 0869.35023

Reviewer: J.Chrastina (Brno)
MSC:  35F05 58A10
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### Differential geometry and integrability of the Hamiltonian system of a closed vortex filament. (English)Zbl 0873.58039

Reviewer: G.Zet (Iaşi)
MSC:  37J35 37K10 76B47
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### 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).
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### Preliminary classification of $$q_ t=f(q,q_ x,q_{xx},q_{xxx})$$. (English)Zbl 0864.35100

MSC:  35Q58 58J70
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### 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

### 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).

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