Bi-Hamiltonian structure of multi-component Novikov equation

DOI10.1080/14029251.2014.975522zbMath1420.37074OpenAlexW2123120401MaRDI QIDQ5230961

Hongmin Li, Yong Chen, Yu-Qi Li

Publication date: 29 August 2019

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/14029251.2014.975522

zbMATH Keywords

bi-Hamiltonian structuremulti-component Novikov equation

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) Soliton equations (35Q51)

Related Items (max. 100)

On the Cauchy problem and peakons of a two-component Novikov system ⋮ On the Cauchy problem of the two-component Novikov-type system with peaked solutions and H1-conservation law ⋮ On the Cauchy problem for the two-component Novikov system with peakons ⋮ On the Cauchy problem for a four‐component Novikov system with peaked solutions ⋮ Two-component generalizations of the Novikov equation ⋮ Well-posedness and analyticity of the Cauchy problem for the multi-component Novikov equation ⋮ The two-component Novikov-type systems with peaked solutions and \(H^1\)-conservation law ⋮ Local well-posedness and global existence for a multi-component Novikov equation ⋮ On the Cauchy problem for a four-component Camassa-Holm type system

Cites Work

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• Bi-Hamiltonian systems on the dual of the Lie algebra of vector fields of the circle and periodic shallow water equations

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