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Darboux transformation and soliton-like solutions of nonlinear Schrödinger equations

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  • Xia, Tiecheng
  • Chen, Xiaohong
  • Chen, Dengyuan

Abstract

In this Letter, a systematic method is presented to construct the Darboux transformation with multi-parameters for the coupled nonlinear Schrödinger equations, from which the solutions of Schrödinger equations are reduced to solving a linear algebraic system and a constraint differential equation. With the aid of symbolic computation, new soliton-like solutions for the nonlinear Schrödinger equations are obtained by using its Darboux transformation.

Suggested Citation

  • Xia, Tiecheng & Chen, Xiaohong & Chen, Dengyuan, 2005. "Darboux transformation and soliton-like solutions of nonlinear Schrödinger equations," Chaos, Solitons & Fractals, Elsevier, vol. 26(3), pages 889-896.
    • Handle: RePEc:eee:chsofr:v:26:y:2005:i:3:p:889-896
    DOI: 10.1016/j.chaos.2005.01.030
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    Cited by:

    1. Seadawy, Aly R. & Ali, Safdar & Rizvi, Syed T.R., 2022. "On modulation instability analysis and rogue waves in the presence of external potential: The (n + 1)-dimensional nonlinear Schrödinger equation," Chaos, Solitons & Fractals, Elsevier, vol. 161(C).
    2. Li, Zhu & Zhang, Ning & Dong, Huanhe, 2009. "New integrable lattice hierarchies and associated properties," Chaos, Solitons & Fractals, Elsevier, vol. 39(3), pages 1132-1143.

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