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The new exact solutions of Volterra difference-differential equation and KdV difference-differential equation

## The new exact solutions of Volterra difference-differential equation and KdV difference-differential equation

Sirendaoerji, Taogetusang
• #### Abstract

Based on the auxiliary equation method and the trial function method, a method for combining function transformation with auxiliary equation is proposed. And the method is applied to construct new exact solitary wave solutions and triangle function solutions of Volterra and KdV difference-differential equations with the help of symbolic computation system Mathematica. Our method can also be applied to other nonlinear difference-differential equations.

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#### Cited By

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•  Citation:
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• Abstract views:  4028
• Cited By: 0
##### Publishing process
• Received Date:  11 July 2008
• Accepted Date:  23 February 2009
• Published Online:  20 September 2009

## The new exact solutions of Volterra difference-differential equation and KdV difference-differential equation

• 1. (1); (2)内蒙古师范大学数学科学学院,呼和浩特 010022

Abstract: Based on the auxiliary equation method and the trial function method, a method for combining function transformation with auxiliary equation is proposed. And the method is applied to construct new exact solitary wave solutions and triangle function solutions of Volterra and KdV difference-differential equations with the help of symbolic computation system Mathematica. Our method can also be applied to other nonlinear difference-differential equations.

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