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Rational expansion method of exponent function for solving exact solutions to nonlinear differential-difference equations

Chengshi Liu
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Abstract

A new method named rational expansion method of exponent function is presented to find exact traveling wave solutions of differential-difference equations. This method generalizes the so-called tanh-method and other similar methods. Some examples are dealt with and their abundant exact solutions which include solitary solutions and periodic solutions are obtained. Among them, many solutions are new.

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Chengshi Liu. 2006-11-07. Rational expansion method of exponent function for solving exact solutions to nonlinear differential-difference equations. https://arxiv.org/abs/nlin/0611013

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