Exact Traveling Wave Solutions and Bifurcations of the Burgers-αβ Equation

DOI10.1142/S0218127416501753zbMath1352.35014OpenAlexW2523749156MaRDI QIDQ2953744

Wenjing Zhu, Ji-Bin Li

Publication date: 6 January 2017

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127416501753

zbMATH Keywords

solitary wave solutionperiodic wave solutionpeakon solutioncompacton solutionperiodic peakon solution

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) KdV equations (Korteweg-de Vries equations) (35Q53) Bifurcation theory for ordinary differential equations (34C23) Explicit solutions, first integrals of ordinary differential equations (34A05) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Traveling wave solutions (35C07) Soliton solutions (35C08)

Related Items (1)

Traveling wave solutions of a generalized Burgers-\(\alpha\beta\) equation

Cites Work

• Traveling wave solutions of the Degasperis-Procesi equation
• Traveling wave solutions for a class of nonlinear dispersive equations
• Nonlinear balance and exchange of stability in dynamics of solitons, peakons, ramps/cliffs and leftons in a 1+1 nonlinear evolutionary PDE
• Traveling wave solutions of the Camassa-Holm equation
• ON A CLASS OF SINGULAR NONLINEAR TRAVELING WAVE EQUATIONS
• Classification of all travelling-wave solutions for some nonlinear dispersive equations
• Peakon, pseudo-peakon, and cuspon solutions for two generalized Camassa-Holm equations
• Variform Exact One-Peakon Solutions for Some Singular Nonlinear Traveling Wave Equations of the First Kind

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