Transformations of Darboux Integrable Systems

DOI10.1007/978-3-642-00873-3_2zbMath1183.37107OpenAlexW169488259MaRDI QIDQ3401689

Ian M. Anderson, Mark E. Fels

Publication date: 1 February 2010

Published in: Differential Equations - Geometry, Symmetries and Integrability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-00873-3_2

zbMATH Keywords

symmetry reductionMonge equationGoursat equationMoutard equationDarboux integrable equations

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Related Items (4)

GROUP FOLIATION OF DIFFERENTIAL EQUATIONS USING MOVING FRAMES ⋮ Symmetry, compatibility and exact solutions of PDEs ⋮ Rank 2 distributions of Monge equations: symmetries, equivalences, extensions ⋮ Laplace Transformation of Lie Class ω = 1 Overdetermined Systems

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