English

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

Exactly Solvable and Integrable Systems 2007-05-23 v1

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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Cite

@article{arxiv.nlin/0611013,
  title  = {Rational expansion method of exponent function for solving exact solutions to nonlinear differential-difference equations},
  author = {Chengshi Liu},
  journal= {arXiv preprint arXiv:nlin/0611013},
  year   = {2007}
}

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10pages