New peakon, solitary wave and periodic wave solutions for the modified Camassa-Holm equation

DOI10.1016/j.na.2009.05.057zbMath1186.34005OpenAlexW2077795123MaRDI QIDQ1044472

Bin He

Publication date: 18 December 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2009.05.057

zbMATH Keywords

exact solutionsolitary waveperiodic wavepeakonmodified Camassa-Holm equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Explicit solutions, first integrals of ordinary differential equations (34A05) Soliton equations (35Q51) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Boundary value problems on infinite intervals for ordinary differential equations (34B40)

Related Items (8)

On traveling wave solutions of the \(\theta\)-equation of dispersive type ⋮ Dissipative solutions for the modified two-component Camassa-Holm system ⋮ An energy-preserving finite difference scheme with fourth-order accuracy for the generalized Camassa-Holm equation ⋮ A note on a modified two-component Camassa-Holm system ⋮ A simple approach for reducing the order of equations with higher order nonlinearity ⋮ Optimal Solution for the Viscous Modified Camassa–Holm Equation ⋮ On the blow-up of solutions of a weakly dissipative modified two-component periodic Camassa-Holm system ⋮ Extension on peakons and periodic cusp waves for the generalization of the Camassa-Holm equation

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