A direct algorithm for constructing recursion operators and Lax pairs for integrable models

DOI10.1134/S004057791808007XzbMath1454.37062arXiv1710.08626OpenAlexW2964297716MaRDI QIDQ1626669

A. R. Khakimova, Ismagil T. Habibullin

Publication date: 21 November 2018

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.08626

zbMATH Keywords

recursion operatorinvariant manifoldLax pairhigher symmetryintegrable chain

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) NLS equations (nonlinear Schrödinger equations) (35Q55) Nonlinear higher-order PDEs (35G20) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) General theory of infinite-dimensional Hamiltonian and Lagrangian systems, Hamiltonian and Lagrangian structures, symmetries, conservation laws (37K06)

Related Items (5)

An upper order bound of the invariant manifold in Lax pairs of a nonlinear evolution partial differential equation ⋮ Symmetry structure of integrable hyperbolic third order equations ⋮ Generalized invariant manifolds for integrable equations and their applications ⋮ On the recursion operators for integrable equations ⋮ Invariant manifolds and separation of the variables for integrable chains

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