The exponential decay of solutions and traveling wave solutions for a modified Camassa–Holm equation with cubic nonlinearity

DOI10.1063/1.4891989zbMath1366.35162OpenAlexW2004588061MaRDI QIDQ3189904

Xinglong Wu, Bo-ling Guo

Publication date: 12 September 2014

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

Full work available at URL: https://doi.org/10.1063/1.4891989

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) KdV equations (Korteweg-de Vries equations) (35Q53) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Initial value problems for nonlinear higher-order PDEs (35G25) Traveling wave solutions (35C07)

Related Items (9)

On the Cauchy problem for a class of cubic quasilinear shallow-water equations ⋮ Well-posedness and continuity properties of the new shallow-water model with cubic nonlinearity ⋮ The traveling wave solutions for a two-component b-family equations ⋮ Infinite propagation speed and asymptotic behavior for a generalized Camassa-Holm equation with cubic nonlinearity ⋮ Some new decay properties of solutions for a modified Camassa–Holm equation with cubic nonlinearity ⋮ Infinite propagation speed and asymptotic behavior for a generalized fifth-order Camassa–Holm equation ⋮ On the Cauchy problem of generalized Fokas–Olver–Resenau–Qiao equation ⋮ Wave breaking and persistent decay of solution to a shallow water wave equation ⋮ Persistent decay of solutions to the \(k- abc\) equation in weighted \(L^p\) spaces

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