Riemann-Hilbert approach for multi-soliton solutions of a fifth-order nonlinear Schrodinger equation

2018/10/30 by Zhou-Zheng Kang, Kang, Zhou-Zheng, Tiecheng Xia +3 · 1 citation
Physics and Astronomy · Mathematics · #Nonlinear Waves and Solitons #Nonlinear Photonic Systems #Fractional Differential Equations Solutions

paper · pdf · doi:10.48550/arxiv.1810.12559

Abstract

A fifth-order nonlinear Schrodinger equation which describes one-dimensional anisotropic Heisenberg ferromagnetic spin chain is under exploration in this paper. Starting from the spectral analysis of the Lax pair, a Riemann-Hilbert problem is set up. After solving the obtained Riemann-Hilbert problem with reflectionless case, we systematically derive multisoliton solutions for the fifth-order nonlinear Schrodinger equation. In addition, the localized structures and dynamic behaviors of one- and two-soliton solutions are shown vividly via a few plots.

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