EXACT TRAVELING WAVE SOLUTIONS AND THEIR BIFURCATIONS FOR THE GENERALIZED POCHHAMMER–CHREE EQUATIONS

DOI10.1142/S0218127412502331zbMath1258.34005OpenAlexW2016696609MaRDI QIDQ4907103

Guan-Rong Chen, Ji-Bin Li

Publication date: 1 March 2013

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

Full work available at URL: https://doi.org/10.1142/s0218127412502331

zbMATH Keywords

bifurcationsolitary wave solutionperiodic wave solutionkink wave solutiongeneralized Pochhammer-Chree equationsingular traveling wave systems

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) 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)

Cites Work

• Bifurcations of traveling wave solutions in generalized Pochhammer-Chree equation
• Series solution to the Pochhammer-Chree equation and comparison with exact solutions
• Existence of solutions for a finite nonlinearly hyperelastic rod
• The tanh-coth and the sine-cosine methods for kinks, solitons, and periodic solutions for the Pochhammer-Chree equations
• Solitary wave solutions and kink wave solutions for a generalized PC equation
• ON A CLASS OF SINGULAR NONLINEAR TRAVELING WAVE EQUATIONS
• Solitary-Wave Interactions in Elastic Rods
• On exact solutions of the regularized long-wave equation: A direct approach to partially integrable equations. I. Solitary wave and solitons

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