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

Xi Zhang, Yu-Feng Wang and Sheng-Xiong Yang

Chaos, Solitons & Fractals, 2024, vol. 180, issue C

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.

Keywords: Higher-order coupled nonlinear Schrödinger equations; Hybrid structures; Rogue waves; Breather-like waves (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:180:y:2024:i:c:s0960077924001140

DOI: 10.1016/j.chaos.2024.114563

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