Five-dimensional Lax-integrable equation, its reductions and recursion operator

DOI10.1134/S1995080215030026zbMath1332.35081MaRDI QIDQ901817

H. Baran, I. S. Krasil'shchik, Oleg I. Morozov, Petr Vojčák

Publication date: 6 January 2016

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

conservation lawssymmetriesrecursion operatorsdifferential coverings

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Nonlinear higher-order PDEs (35G20) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Related Items (8)

Nonlocal symmetries of integrable linearly degenerate equations: a comparative study ⋮ Three-component nonlocal conservation laws for Lax-integrable 3D partial differential equations ⋮ Lax representations with non-removable parameters and integrable hierarchies of PDEs via exotic cohomology of symmetry algebras ⋮ Non-abelian covering and new recursion operators for the 4D Martínez Alonso-Shabat equation ⋮ Computing with Hamiltonian operators ⋮ Group interpretation of the spectral parameter. The case of isothermic surfaces. ⋮ Recursion operators for multidimensional integrable PDEs ⋮ Lagrangian extensions of multi-dimensional integrable equations. I: The five-dimensional Martínez Alonso-Shabat equation

Uses Software

• Jets

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