Kink wave determined by parabola solution of a nonlinear ordinary differential equation

DOI10.1007/S10483-007-0705-ZzbMath1231.34075OpenAlexW2063853665WikidataQ115384287 ScholiaQ115384287MaRDI QIDQ940341

Ji-Bin Li, Ming Li, Jing Na

Publication date: 1 September 2008

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10483-007-0705-z

zbMATH Keywords

nonlinear wave equationnonlinear evolution equationconnecting orbitkink wave solutionparabola solution

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Complex behavior and chaotic systems of ordinary differential equations (34C28) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27) Relaxation oscillations for ordinary differential equations (34C26)

Related Items (1)

A class of approximate damped oscillatory solutions to compound KdV-Burgers-type equation with nonlinear terms of any order: preliminary results

Cites Work

• Exact travelling wave solutions for a generalized Zakharov-Kuznetsov equation.
• Uniformly constructing a series of explicit exact solutions to nonlinear equations in mathematical physics
• Exact analytical solutions for nonlinear reaction-diffusion equations
• A note on ``Explicit exact solutions to the compound Burgers-Korteweg-de Vries equation
• Travelling solitary wave solutions to a compound KdV-Burgers equation.
• Solitary wave solutions of the generalised Burgers-Huxley equation
• BIFURCATIONS OF TRAVELING WAVE SOLUTIONS FOR FOUR CLASSES OF NONLINEAR WAVE EQUATIONS
• Explicit exact solitary-wave solutions for compound KdV-type and compound KdV-Burgers-type equations with nonlinear terms of any order

This page was built for publication: Kink wave determined by parabola solution of a nonlinear ordinary differential equation