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New rational formal solutions for (1+1)-dimensional Toda equation and another Toda equation

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  • Wang, Qi
  • Yu, Yaxuan

Abstract

In this paper, we present a new rational expansion method to uniformly construct a series of exact solutions for nonlinear differential-difference equations. Compared with most existing methods, the proposed method not only recovers some well-known solutions, but also finds some new and general solutions. The efficiency of the method can be demonstrated on (1+1)-dimensional Toda equation and another Toda equation.

Suggested Citation

  • Wang, Qi & Yu, Yaxuan, 2006. "New rational formal solutions for (1+1)-dimensional Toda equation and another Toda equation," Chaos, Solitons & Fractals, Elsevier, vol. 29(4), pages 904-915.
  • Handle: RePEc:eee:chsofr:v:29:y:2006:i:4:p:904-915
    DOI: 10.1016/j.chaos.2005.08.053
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