Riemann–Hilbert approach for a coherently-coupled nonlinear Schrödinger system associated with a 4 × 4 matrix spectral problem

Hai-Qiang Zhang, Zhi-jie Pei and Wen-Xiu Ma

Chaos, Solitons & Fractals, 2019, vol. 123, issue C, 429-434

Abstract: In this paper, by applying the Riemann–Hilbert approach, we investigate an integrable coherently-coupled nonlinear Schrödinger (CCNLS) system associated with a 4 × 4 matrix spectral problem. Through spectral analysis, we formulate a 4 × 4 matrix Riemann–Hilbert problem on the real line. Furthermore, from a specific Riemann–Hilbert problem in which a jump matrix is taken to be the identity matrix, we derive the N-soliton solution of the CCNLS system.

Keywords: Riemann–Hilbert problem; Coherently-coupled nonlinear Schrödinger system; Soliton (search for similar items in EconPapers)
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:123:y:2019:i:c:p:429-434

DOI: 10.1016/j.chaos.2019.04.017

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