An equation unifying both Camassa-Holm and Novikov equations

DOI10.3934/proc.2015.0304zbMath1336.35314OpenAlexW2313727223MaRDI QIDQ260780

Igor Leite Freire, Priscila Leal da Silva

Publication date: 22 March 2016

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/proc.2015.0304

zbMATH Keywords

Camassa-Holm equationlocal conservation lawsNovikov equation

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) KdV equations (Korteweg-de Vries equations) (35Q53) Invariance and symmetry properties for PDEs on manifolds (58J70) Geometric theory, characteristics, transformations in context of PDEs (35A30) Symmetries, Lie group and Lie algebra methods for problems in mechanics (70G65) Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics (76M60) Soliton solutions (35C08)

Related Items (9)

Some properties of solutions to the Camassa-Holm-type equation with higher-order nonlinearities ⋮ A family of wave-breaking equations generalizing the Camassa-Holm and Novikov equations ⋮ Wave breaking for shallow water models with time decaying solutions ⋮ Local well-posedness and global analyticity for solutions of a generalized 0-equation ⋮ Invariants and wave breaking analysis of a Camassa-Holm type equation with quadratic and cubic non-linearities ⋮ The Cauchy problem and continuation of periodic solutions for a generalized Camassa–Holm equation ⋮ Nonlinear self-adjointness of a class of third order nonlinear dispersive equations ⋮ A look on some results about Camassa-Holm type equations ⋮ Well-posedness, travelling waves and geometrical aspects of generalizations of the Camassa-Holm equation

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