The Riemann-Hilbert Approach and $N$-Soliton Solutions of a Four-Component Nonlinear Schrödinger Equation
Year: 2021
Author: Xin-Mei Zhou, Shou-Fu Tian, Jin-Jie Yang, Jin-Jin Mao
East Asian Journal on Applied Mathematics, Vol. 11 (2021), Iss. 1 : pp. 143–163
Abstract
A four-component nonlinear Schrödinger equation associated with a 5×5 Lax pair is investigated. A spectral problem is analysed and the Jost functions are used in order to derive a Riemann-Hilbert problem connected with the equation under consideration. $N$-soliton solutions of the equation are obtained by solving the Riemann-Hilbert problem without reflection. For $N = 1$ and $N = 2$, the local structure and dynamic behavior of some special solutions are analysed by invoking their graphic representations.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/eajam.100620.170920
East Asian Journal on Applied Mathematics, Vol. 11 (2021), Iss. 1 : pp. 143–163
Published online: 2021-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 21
Keywords: Four-component nonlinear Schrödinger equation Riemann-Hilbert approach $N$-soliton solutions.