Classification and bifurcation of a class of second-order ODEs and its application to nonlinear PDEs

DOI10.3934/dcdss.2018048zbMath1444.34005OpenAlexW2767164251MaRDI QIDQ1690367

Chaudry Masood Khalique, Li-jun Zhang

Publication date: 19 January 2018

Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdss.2018048

zbMATH Keywords

bifurcationtraveling wave solutionsdynamical system approachmodified regularized long wave equation

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Bifurcation theory for ordinary differential equations (34C23) Explicit solutions, first integrals of ordinary differential equations (34A05) Growth and boundedness of solutions to ordinary differential equations (34C11) Traveling wave solutions (35C07)

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Cites Work

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• A Higher-Order Water-Wave Equation and the Method for Solving It
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• Integrable Shallow-Water Equations and Undular Bores
• EXACT SOLITARY WAVE AND PERIODIC WAVE SOLUTIONS OF THE KAUP-KUPERSCHMIDT EQUATION
• Model equations for long waves in nonlinear dispersive systems

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