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Solitary wave and periodic wave solutions for the quintic discrete nonlinear Schrödinger equation

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  • Wu, Xiao-Fei

Abstract

In this paper, we construct a new truncation function expansion approach to investigate exact solutions for the quintic discrete nonlinear Schrödinger equation. As a result, many types of exact solutions are obtained which includes discrete bell-type solitary wave solution, solitary wave solution, triangular periodic wave solution, alternating phase bell-type solitary wave solution, alternating phase solitary wave solution, and alternating phase triangular periodic wave solution. The properties of some new exact solutions are shown in figures.

Suggested Citation

  • Wu, Xiao-Fei, 2009. "Solitary wave and periodic wave solutions for the quintic discrete nonlinear Schrödinger equation," Chaos, Solitons & Fractals, Elsevier, vol. 40(3), pages 1240-1248.
    • Handle: RePEc:eee:chsofr:v:40:y:2009:i:3:p:1240-1248
    DOI: 10.1016/j.chaos.2007.08.076
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