Quadratic and Cubic Nonlinear Oscillators with Damping and Their Applications

DOI10.1142/S0218127416500504zbMath1336.34005MaRDI QIDQ2806173

Zhao-sheng Feng, Ji-Bin Li

Publication date: 17 May 2016

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

zbMATH Keywords

integrable systemtraveling wave solutionBurgers-KdV equationChaffee-Infante equationcompound Burgers-KdV equationkink-profile wavevan der Waals normal form

Mathematics Subject Classification ID

Explicit solutions, first integrals of ordinary differential equations (34A05) Traveling wave solutions (35C07)

Cites Work

• On the traveling wave solutions for a nonlinear diffusion-convection equation: dynamical system approach
• Duffing-van der Pol-type oscillator system and its first integrals
• A note on ``Explicit exact solutions to the compound Burgers-Korteweg-de Vries equation
• Exact traveling wave solutions of the van der Waals normal form for fluidized granular matter
• Travelling waves in nonlinear diffusion-convection reaction
• Exact travelling kink-like wave solutions to some nonlinear equations
• COMPLEXITY OF REACTION–DIFFUSION CNN
• DIFFUSIVE EFFECTS ON A CATALYTIC SURFACE REACTION: AN INITIAL BOUNDARY VALUE PROBLEM IN REACTION-DIFFUSION-CONVECTION EQUATIONS
• BIFURCATIONS OF ONE-DIMENSIONAL REACTION–DIFFUSION EQUATIONS
• On explicit exact solutions to the compound Burgers-KdV equation

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