@Article{EAJAM-11-1,
author = {Zhou, Xin-Mei and Tian, Shou-Fu and Yang, Jin-Jie and Mao, Jin-Jin},
title = {The Riemann-Hilbert Approach and $N$-Soliton Solutions of a Four-Component Nonlinear Schrödinger Equation},
journal = {East Asian Journal on Applied Mathematics},
year = {2021},
volume = {11},
number = {1},
pages = {143--163},
abstract = {<p style="text-align: justify;">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.</p>},
issn = {2079-7370},
doi = {https://doi.org/10.4208/eajam.100620.170920},
url = {https://global-sci.com/article/82517/the-riemann-hilbert-approach-and-n-soliton-solutions-of-a-four-component-nonlinear-schrodinger-equation}
}