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Multisoliton Solutions and Breathers for the Coupled Nonlinear Schrödinger Equations via the Hirota Method

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  • Ting-Ting Jia
  • Yu-zhen Chai
  • Hui-Qin Hao

Abstract

Under investigation in this paper are the coupled nonlinear Schrödinger (CNLS) equations with dissipation terms by the Hirota method, which are better than the formal Schrödinger equation in eliciting optical solitons. The bilinear form has been constructed, via which multisolitons and breathers are derived. In particular, the three-bright soliton solution and breathers are derived and simulated via some pictures. The propagation characters are analysed with the change of the parameters.

Suggested Citation

  • Ting-Ting Jia & Yu-zhen Chai & Hui-Qin Hao, 2016. "Multisoliton Solutions and Breathers for the Coupled Nonlinear Schrödinger Equations via the Hirota Method," Mathematical Problems in Engineering, Hindawi, vol. 2016, pages 1-11, March.
    • Handle: RePEc:hin:jnlmpe:1741245
    DOI: 10.1155/2016/1741245
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