Peaked wave solutions of CH-r equation

DOI10.1007/BF02942241zbMath1089.35521OpenAlexW2076841743MaRDI QIDQ813794

Bo-ling Guo, Zheng-Rong Liu

Publication date: 13 February 2006

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02942241

zbMATH Keywords

bifurcation of phase portraitsCH-r equationpeaked periodic wave solutionspeaked solitary wave solutionspeaked wave solutions

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Periodic solutions to PDEs (35B10) Bifurcation theory for ordinary differential equations (34C23) Soliton equations (35Q51)

Related Items (18)

Nilpotent singular points and compactons ⋮ Four types of bounded wave solutions of CH-\(\gamma\) equation ⋮ Exact peaked wave solution of CH-\(\gamma \) equation by the first-integral method ⋮ Bifurcations and nonlinear wave solutions for the generalized two-component integrable Dullin-Gottwald-Holm system ⋮ The bifurcation and peakon for \(K(2, 2)\) equation with osmosis dispersion ⋮ New exact periodic wave solutions for the Dullin-Gottwald-Holm equation ⋮ EXACT TRAVELING WAVE SOLUTIONS AND BIFURCATIONS FOR THE DULLIN-GOTTWALD-HOLM EQUATION ⋮ Orbital stability of peakons with nonvanishing boundary for CH and CH-\(\gamma \) equations ⋮ Bifurcations of travelling wave solutions for a variant of Camassa-Holm equation ⋮ The multi-soliton solutions of the CH-\(\gamma\) equation ⋮ The bifurcation and peakon for Degasperis-Procesi equation ⋮ The local and global existence of solutions for a generalized Camassa-Holm equation ⋮ Bäcklund transformations for the Camassa-Holm equation ⋮ Bifurcations and some new traveling wave solutions for the CH-\({\gamma}\) equation ⋮ Travelling wave solutions of a generalized Camassa-Holm-Degasperis-Procesi equation ⋮ Periodic cusp wave solutions and single-solitons for the \(b\)-equation ⋮ Parallel simultaneous stabilization of two systems governed by partial differential equations subject to actuator saturation ⋮ Global weak solutions and breaking waves to the Degasperis-Procesi equation with linear dispersion

Cites Work

• Unnamed Item
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Quasi-periodicity with respect to time of spatially periodic finite-gap solutions of the Camassa-Holm equation
• Peakons and coshoidal waves: Traveling wave solutions of the Camassa-Holm equation
• Soliton interactions for the Camassa-Holm equation
• On the Cauchy problem for the periodic Camassa-Holm equation
• Geometric integrability of the Camassa-Holm equation
• The Camassa-Holm equation: a loop group approach
• Peakons of the Camassa-Holm equation
• Peakons and periodic cusp waves in a generalized Camassa-Holm equation
• Some tricks from the symmetry-toolbox for nonlinear equations: Generalizations of the Camassa-Holm equation
• Solitons in the Camassa-Holm shallow water equation
• Transformations for the Camassa-Holm Equation, Its High-Frequency Limit and the Sinh-Gordon Equation
• An integrable shallow water equation with peaked solitons
• The Camassa–Holm equation as a geodesic flow on the diffeomorphism group
• PEAKONS AND THEIR BIFURCATION IN A GENERALIZED CAMASSA–HOLM EQUATION
• The complex geometry of weak piecewise smooth solutions of integrable nonlinear PDE's of shallow water and Dym type
• The three dimensional viscous Camassa-Holm equations, and their relation to the Navier-Stokes equations and turbulence theory

This page was built for publication: Peaked wave solutions of CH-r equation