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Exact solutions for the cubic–quintic nonlinear Schrödinger equation

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  • Zhu, Jia-Min
  • Ma, Zheng-Yi

Abstract

In this paper, the cubic–quintic nonlinear Schrödinger equation is solved through the extended elliptic sub-equation method. As a consequence, many types of exact travelling wave solutions are obtained which including bell and kink profile solitary wave solutions, triangular periodic wave solutions and singular solutions.

Suggested Citation

  • Zhu, Jia-Min & Ma, Zheng-Yi, 2007. "Exact solutions for the cubic–quintic nonlinear Schrödinger equation," Chaos, Solitons & Fractals, Elsevier, vol. 33(3), pages 958-964.
    • Handle: RePEc:eee:chsofr:v:33:y:2007:i:3:p:958-964
    DOI: 10.1016/j.chaos.2006.01.057
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    Cited by:

    1. Belmonte-Beitia, Juan, 2009. "Exact solutions for the quintic nonlinear Schrödinger equation with inhomogeneous nonlinearity," Chaos, Solitons & Fractals, Elsevier, vol. 41(2), pages 1005-1009.

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