Travelling Wave Solutions for the Generalized Special Type of the Dodd-Bullough-Mikhailov Equation


	Journal of Applied Sciences
	Year: 2006 \| Volume: 6 \| Issue: 14 \| Page No.: 2856-2865 DOI: 10.3923/jas.2006.2856.2865

Travelling Wave Solutions for the Generalized Special Type of the Dodd-Bullough-Mikhailov Equation

Shengqiang Tang and Wentao Huang

Abstract: In this study, the generalized special Dodd-Bullough-Mikhailov Equations u_tt-u_xx= αe^mu + βe^-nu is studied. The existence of periodic wave and unbounded wave solutions of this equation is proved by using the method of bifurcation theory of dynamical systems. Some exact explicit parametric representations of the above traveling solutions are also obtained.

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How to cite this article:

Shengqiang Tang and Wentao Huang , 2006. Travelling Wave Solutions for the Generalized Special Type of the Dodd-Bullough-Mikhailov Equation. Journal of Applied Sciences, 6: 2856-2865.

DOI: 10.3923/jas.2006.2856.2865

URL: https://scialert.net/abstract/?doi=jas.2006.2856.2865

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