Mixed localized waves in the coupled nonlinear Schrödinger equation with higher-order effects

Linming Qi, Lu Liu and Weiliang Zhao

Chaos, Solitons & Fractals, 2024, vol. 182, issue C

Abstract: In this work, the coupled nonlinear Schrödinger equation with higher-order effects is studied with the aid of Darboux transformation and an asymptotic analysis. We report mixed localized waves, rogue wave coexisting with breathers in the system. Under certain constraints, the structures and evolutionary processes of solutions have been influenced. For example, The phase, amplitude, and propagating direction of mixed localized waves change when rogue wave collides with breathers. Moreover, the localized waves characteristics together with collision dynamic behaviors of these explicit rogue wave and breathers are exhibited graphically and discussed in detail. These novel results may be meaningful to study integrable systems better.

Keywords: Coupled nonlinear Schrödinger equation with higher-order effects; Darboux transformation; Rogue wave; Breathers; Mixed localized waves (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:182:y:2024:i:c:s0960077924002777

DOI: 10.1016/j.chaos.2024.114725

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