Conformal properties and Bäcklund transform for the associated Camassa-Holm equation

DOI10.1016/J.PHYSLETA.2005.07.001zbMath1345.37076arXivnlin/0507005OpenAlexW1980070273MaRDI QIDQ936941

Rossen I. Ivanov

Publication date: 20 August 2008

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0507005

zbMATH Keywords

integrable systemssolitonsLax pairconformal invariantsnegatonspositonsSchwarz derivative

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) Geometric theory, characteristics, transformations in context of PDEs (35A30) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Related Items (5)

Bell polynomial approach to associated Camassa-Holm equation ⋮ The generalized Wronskian solutions of a inverse KdV hierarchy ⋮ G -Strands on symmetric spaces ⋮ Integrable generalization of the associated Camassa-Holm equation ⋮ Darboux transformation and multi-soliton solutions of the Camassa-Holm equation and modified Camassa-Holm equation

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