New exact solutions to some difference differential equations

doi:10.1088/1009-1963/15/10/004

Abstract

Abstract In this paper, we use our method to solve the extended Lotka--Volterra equation and discrete KdV equation. With the help of Maple, we obtain a number of exact solutions to the two equations including soliton solutions presented by hyperbolic functions of sinh and cosh, periodic solutions presented by trigonometric functions of sin and cos, and rational solutions. This method can be used to solve some other nonlinear difference--differential equations.

Keywords: difference differential equation soliton solutions Lotka--Volterra equation discrete KdV equation

Received: 12 July 2005
Revised: 02 June 2006
Accepted manuscript online:

PACS:	02.30.Hq	(Ordinary differential equations)
	05.45.Yv	(Solitons)

Fund: Project supported by the State Key Development Program for Basic Research of China (Grant No 2004CB318000).

Cite this article:

Wang Zhen (王振) and Zhang Hong-Qing(张鸿庆) New exact solutions to some difference differential equations 2006 Chinese Physics 15 2210

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