Bifurcations of travelling wave solutions in three modified Camassa-Holm equations

DOI10.11948/20200347MaRDI QIDQ6596643

Jibin Li, Yanggeng Fu

Publication date: 2 September 2024

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

zbMATH Keywords

bifurcationsolitary wave solutionperiodic wave solutionmodified Camassa-Holm equation\(M\)-shape-wave solution

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Nonlinear waves in solid mechanics (74J30) Applications of global analysis to the sciences (58Z05) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Cites Work

• Title not available (Why is that?)
• Exact M/W-shape solitary wave solutions determined by a singular traveling wave equation
• Hamiltonian structure of peakons as weak solutions for the modified Camassa-Holm equation
• Accelerating dynamical peakons and their behaviour
• A new integrable equation with cuspons and W/M-shape-peaks solitons
• ON A CLASS OF SINGULAR NONLINEAR TRAVELING WAVE EQUATIONS
• Conserved norms and related conservation laws for multi-peakon equations
• A general family of multi-peakon equations and their properties
• EXACT STATIONARY-WAVE SOLUTIONS IN THE STANDARD MODEL OF THE KERR-NONLINEAR OPTICAL FIBER WITH THE BRAGG GRATING

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