BIFURCATIONS OF TRAVELING WAVE SOLUTIONS IN A MICROSTRUCTURED SOLID MODEL

DOI10.1142/S0218127413500090zbMath1270.35170MaRDI QIDQ2845323

Guan-Rong Chen, Ji-Bin Li

Publication date: 22 August 2013

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

zbMATH Keywords

bifurcationperiodic wave solutionkink wave solutionbreaking wave solutionmicro-structured solid modelsecond class of singular traveling wave system

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) 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)

Related Items (6)

Bounded traveling waves of the (2+1)-dimensional Zoomeron equation ⋮ Application of the dynamical system method and the deep learning method to solve the new (3+1)-dimensional fractional modified Benjamin-Bona-Mahony equation ⋮ Bifurcation of traveling wave solutions for the Joseph-Egri equation ⋮ The Existence and Bifurcation of Peakon and Anti-Peakon to the n-Degree b-Equation ⋮ Bifurcations and Exact Solutions in a Nonlinear Wave Equation ⋮ TRAVELING WAVES OF THE (3+1)-DIMENSIONAL KADOMTSEV-PETVIASHVILI-BOUSSINESQ EQUATION

Cites Work

• Exact traveling wave solutions and bifurcations in a nonlinear elastic rod equation
• BREAKING WAVE SOLUTIONS TO THE SECOND CLASS OF SINGULAR NONLINEAR TRAVELING WAVE EQUATIONS
• Nonlinear wave motion and complexity
• Solitary waves in nonlinear microstructured materials

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