East Asian J. Appl. Math., 11 (2021), pp. 143-163.
Published online: 2020-11
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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.
}, issn = {2079-7370}, doi = {https://doi.org/10.4208/eajam.100620.170920}, url = {http://global-sci.org/intro/article_detail/eajam/18417.html} }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.