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Hybrid structures of the rogue waves and breather-like waves for the higher-order coupled nonlinear Schrödinger equations

Author

Listed:
  • Zhang, Xi
  • Wang, Yu-Feng
  • Yang, Sheng-Xiong

Abstract

Under investigation in this paper is the higher-order coupled nonlinear Schrödinger system, which describe the ultrashort optical pulses in nonlinear medium. Based on Lax pair, choosing nonzero seed solutions, Nth-order hybrid solutions for the higher-order coupled nonlinear Schrödinger equations are constructed via the generalized Darboux transformation. The profile and energy distribution of three kinds of hybrid structures of the rogue waves and breather-like waves were exhibited: (I) the first-order rogue waves and one breather-like waves; (II) the second-order rogue waves and two breather-like waves; (III) the third-order rogue waves and three breather-like waves. In addition, the influences of parameters for the properties of hybrid structures are discussed.

Suggested Citation

  • Zhang, Xi & Wang, Yu-Feng & Yang, Sheng-Xiong, 2024. "Hybrid structures of the rogue waves and breather-like waves for the higher-order coupled nonlinear Schrödinger equations," Chaos, Solitons & Fractals, Elsevier, vol. 180(C).
    • Handle: RePEc:eee:chsofr:v:180:y:2024:i:c:s0960077924001140
    DOI: 10.1016/j.chaos.2024.114563
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