Compacton and generalized kink wave solutions of the CH-DP equation

DOI10.1016/j.amc.2009.12.010zbMath1423.35346OpenAlexW2088482286MaRDI QIDQ2266983

Shaolong Xie, Lin Wang

Publication date: 26 February 2010

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2009.12.010

zbMATH Keywords

heteroclinic orbitopen orbitcompactonCH-DP equationgeneralized kink wave

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Traveling wave solutions (35C07) Soliton solutions (35C08)

Related Items

A simple method and its applications to nonlinear partial differential equations ⋮ Periodic and solitary travelling-wave solutions of a CH-DP equation ⋮ Explicit and implicit solutions of a generalized Camassa-Holm Kadomtsev-Petviashvili equation ⋮ Kink-like wave and compacton-like wave solutions for a two-component Fornberg-Whitham equation ⋮ Solutions of two nonlinear evolution equations using Lie symmetry and simplest equation methods ⋮ Kink-like wave and compacton-like wave solutions for generalized KdV equation ⋮ New types of nonlinear waves and bifurcation phenomena in Schamel-Korteweg-de Vries equation ⋮ Two types of bounded traveling-wave solutions of a two-component Camassa-Holm equation

Uses Software

• Maple

Cites Work

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• A note on solitary waves for modified forms of Camassa-Holm and Degasperis-Procesi equations
• Compact and noncompact dispersive patterns
• Exact loop solutions, cusp solutions, solitary wave solutions and periodic wave solutions for the special CH-DP equation
• On asymptotically equivalent shallow water wave equations
• Compactons dispersive structures for variants of the \(K(n,n)\) and the KP equations
• Compactons in a general compressible hyperelastic rod
• Nonlinear balance and exchange of stability in dynamics of solitons, peakons, ramps/cliffs and leftons in a 1+1 nonlinear evolutionary PDE
• Integral approach to compacton solutions of Boussinesq-like \(B\)(\(m\),\(n\)) equation with fully nonlinear dispersion
• Wave Structure and Nonlinear Balances in a Family of Evolutionary PDEs
• An integrable shallow water equation with peaked solitons
• Compactons: Solitons with finite wavelength
• NEW BOUNDED TRAVELING WAVES OF CAMASSA–HOLM EQUATION

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