EXACT SOLUTIONS AND THEIR DYNAMICS OF TRAVELING WAVES IN THREE TYPICAL NONLINEAR WAVE EQUATIONS

DOI10.1142/S0218127409024049zbMath1176.34004OpenAlexW2038602254MaRDI QIDQ3649636

Yi Zhang, Guan-Rong Chen, Ji-Bin Li

Publication date: 4 December 2009

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

Full work available at URL: https://doi.org/10.1142/s0218127409024049

zbMATH Keywords

bifurcationnonlinear wave equationplanar dynamical systemloop-soliton solutionloop-periodic wave solution

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Wave equation (35L05) Explicit solutions, first integrals of ordinary differential equations (34A05) Soliton equations (35Q51) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

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Cites Work

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• Dynamical understanding of loop soliton solution for several nonlinear wave equations
• ON A CLASS OF SINGULAR NONLINEAR TRAVELING WAVE EQUATIONS
• TRAVELING WAVES FOR AN INTEGRABLE HIGHER ORDER KDV TYPE WAVE EQUATIONS
• The two loop soliton solution of the Vakhnenko equation
• High-frequency soliton-like waves in a relaxing medium
• Solitary wave solutions of the short pulse equation

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