Bifurcations of traveling wave solutions from KdV equation to Camassa-Holm equation

DOI10.1016/j.physleta.2005.06.096zbMath1194.35356OpenAlexW2083453281MaRDI QIDQ936903

Qinsheng Bi

Publication date: 20 August 2008

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2005.06.096

zbMATH Keywords

bifurcationKdV equationsolitonCamassa-Holm equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51) Bifurcations in context of PDEs (35B32) Traveling wave solutions (35C07)

Related Items (14)

On peaked periodic waves to the nonlinear surface wind waves equation ⋮ Solitary waves for a nonlinear dispersive long wave equation ⋮ Bifurcation of traveling wave solutions for the BBM-like \(B(2, 2)\) equation ⋮ Multiple-mode wave solutions in Vakhnenko equation ⋮ Dynamical analysis of a compound oscillator with initial phase difference ⋮ Phase synchronization between nonlinearly coupled Rössler systems ⋮ Bounded wave solutions of a generalized BBM equation with positive exponents ⋮ Bifurcations and some new traveling wave solutions for the CH-\({\gamma}\) equation ⋮ Smooth and non-smooth traveling wave solutions of the Fornberg-Whitham equation with linear dispersion term ⋮ Wave patterns associated with a singular line for a bi-Hamiltonian system ⋮ Orbital stability and dynamical behaviors of solitary waves for the Camassa-Holm equation with quartic nonlinearity ⋮ PHASE SYNCHRONIZATION OF LINEARLY AND NONLINEARLY COUPLED OSCILLATORS WITH INTERNAL RESONANCE ⋮ The stability of exact solitary wave solutions for simplified modified Camassa-Holm equation ⋮ TRACKING PHASE SYNCHRONIZATION OF TWO COUPLED RÖSSLER OSCILLATORS WITH INTERNAL RESONANCE

Cites Work

• Dynamical analysis of two coupled parametrically excited van der Pol oscillators
• Model equations for nonlinear dispersive waves in a compressible Mooney-Rivlin rod
• Bifurcations of traveling wave solutions in a coupled nonlinear wave equation
• On billiard solutions of nonlinear PDEs
• Bifurcations of traveling wave solutions in a compound KdV-type equation
• An integrable shallow water equation with peaked solitons
• DYNAMICS AND MODULATED CHAOS FOR TWO COUPLED OSCILLATORS
• Exact travelling-wave solutions of an integrable equation arising in hyperelastic rods.

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