Prolongation structure of the Krichever Novikov equation

DOI10.1088/0305-4470/35/46/306zbMath1040.37054arXivnlin/0208006OpenAlexW1995060744MaRDI QIDQ4468190

Sergey Igonin, R. Martini

Publication date: 10 June 2004

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0208006

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry (37K25) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30)

Related Items (7)

Symmetry reductions and traveling wave solutions for the Krichever-Novikov equation ⋮ On Lie algebras responsible for integrability of \((1+1)\)-dimensional scalar evolution PDEs ⋮ Prolongation approach to Lax pairs and Bäcklund transformation of the variable coefficient KdV equation ⋮ On nonlocal symmetries for the Krichever-Novikov equation ⋮ A conjecture concerning nonlocal terms of recursion operators ⋮ Coverings and fundamental algebras for partial differential equations ⋮ Exact Traveling Wave Solutions of the Krichever–Novikov Equation: A Dynamical System Approach

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