On a coupled nonlocal nonlinear Schrödinger system. (November 2022)

• Record Type: Journal Article
• Authors: Ji, Jia-Liang; Kai, Yue; Xu, Zong-Wei; Ma, Li-Yuan
• Is Part Of: Chaos, solitons and fractals. Volume 164(2022)
• Publication Date: 2022-11
• Subjects: Coupled nonlocal nonlinear Schrödinger equation -- Darboux transformation -- Solitons -- Kinks -- Dynamics and interaction of solitons; Chaotic behavior in systems -- Periodicals; Solitons -- Periodicals; Fractals -- Periodicals; Chaotic behavior in systems; Fractals; Solitons; Periodicals; 003.7
• DOI: 10.1016/j.chaos.2022.112761
• Languages: English
• ISSNs: 0960-0779

Abstract

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. Highlights: Introduce a new coupled nonlocal nonlinear Schrödinger equation. Construct Darboux transformation and exact solutions for the equation. Interactions of different kinds of soliton solutions are discussed. Compare the obtained results with standard coupled nonlinear Schrödinger equation.