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A new method for solving nonlinear differential-difference equation

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  • Xie, Fuding
  • Wang, Jingquan

Abstract

A new approach is presented which enables one to construct the exact solutions of nonlinear differential difference equations. As its application, the soliton solutions and periodic solutions of Hybrid lattice, discretized mKdV lattice and modified Volterra lattice are conveniently obtained by computing the solutions for a lattice equation introduced by Wadati.

Suggested Citation

  • Xie, Fuding & Wang, Jingquan, 2006. "A new method for solving nonlinear differential-difference equation," Chaos, Solitons & Fractals, Elsevier, vol. 27(4), pages 1067-1071.
    • Handle: RePEc:eee:chsofr:v:27:y:2006:i:4:p:1067-1071
    DOI: 10.1016/j.chaos.2005.04.078
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    Cited by:

    1. Shek, E.C.M. & Chow, K.W., 2008. "The discrete modified Korteweg–de Vries equation with non-vanishing boundary conditions: Interactions of solitons," Chaos, Solitons & Fractals, Elsevier, vol. 36(2), pages 296-302.

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