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

doi:10.1007/s10483-007-0705-z

Applied Mathematics and Mechanics (English Edition) ›› 2007, Vol. 28 ›› Issue (7): 883-892 .doi: https://doi.org/10.1007/s10483-007-0705-z

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

LI Ji-bin, LI Ming, NA Jing

1. Department of Mathematics, Zhejiang Normal University, Jinhua 321004, Zhejiang Province, P. R. China;
2. School of Science, Kunming University of Science and Technology, Kunming 650093, P. R. China;
3. Department of Mathematics, Qujing Normal Institute, Qujing 655000, Yunnan Province, P. R. China;
4. Computer Science Department, Yunnan University of Finance and Economics, Kunming 650221, P. R. China

Received:2006-01-16 Revised:2007-04-03 Online:2007-07-18 Published:2007-07-18
Contact: LI Ji-bin

Abstract

Abstract: By finding a parabola solution connecting two equilibrium points of a planar dynamical system, the existence of the kink wave solution for 6 classes of nonlinear wave equations is shown. Some exact explicit parametric representations of kink wave solutions are given. Explicit parameter conditions to guarantee the existence of kink wave solutions are determined.

Key words: kink wave solution, connecting orbit, parabola solution, nonlinear wave equation, nonlinear evolution equation

2010 MSC Number:

LI Ji-bin;LI Ming;NA Jing. Kink wave determined by parabola solution of a nonlinear ordinary differential equation. Applied Mathematics and Mechanics (English Edition), 2007, 28(7): 883-892 .

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

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