On a coupled nonlocal nonlinear Schrödinger system

Jia-Liang Ji, Yue Kai, Zong-Wei Xu and Li-Yuan Ma

Chaos, Solitons & Fractals, 2022, vol. 164, issue C

Abstract: Recently, Ablowitz and Musslimani have introduced a new integrable nonlocal nonlinear Schrödinger equation. In this paper, we investigate an integrable coupled nonlocal nonlinear Schrödinger equation which can be derived from the AKNS system. The Darboux transformation is constructed for this equation. Via this Darboux transformation, we obtain its different kinds of exact solutions including soliton, kink, periodic solutions and so on. Dynamics and interactions of different kinds of soliton solutions are discussed. Finally, we compare the obtained results with standard coupled NLS equation.

Keywords: Coupled nonlocal nonlinear Schrödinger equation; Darboux transformation; Solitons; Kinks; Dynamics and interaction of solitons (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:164:y:2022:i:c:s0960077922009407

DOI: 10.1016/j.chaos.2022.112761

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