Integrable fractional n-component coupled nonlinear Schrödinger model and fractional n-soliton dynamics

Da-Sheng Mou, Chao-Qing Dai and Yue-Yue Wang

Chaos, Solitons & Fractals, 2023, vol. 171, issue C

Abstract: According to the integrable nonlinear model introduced by Ablowitz et al. with the Riesz fractional derivative, we discuss the inverse scattering transform, anomalous dispersion relations and squared eigenfunctions of the integrable fractional n-component coupled nonlinear Schrödinger model underlie the Riesz fractional derivative. The explicit form of this fractional model and its fractional n-soliton solution in the case of reflectionless are obtained based on the inverse scattering transform via Riemann-Hilbert problems. In particular, we analyze the effect of fractional-order exponent on its one- and two-soliton solutions based on the integrable fractional three-component coupled nonlinear Schrödinger model. These dynamic analyses play a significant role in improving the superdispersive transport of the nonlinear wave in fractional nonlinear media.

Keywords: Integrable fractional n-component coupled nonlinear Schrödinger model; Inverse scattering transform; Riemann-Hilbert problem; Anomalous dispersion relations; Squared eigenfunctions; Fractional n-soliton solution (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:171:y:2023:i:c:s0960077923003521

DOI: 10.1016/j.chaos.2023.113451

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