@Article{EAJAM-11-143, author = {Zhou , Xin-MeiTian , Shou-FuYang , 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 = {2020}, volume = {11}, number = {1}, pages = {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.
}, issn = {2079-7370}, doi = {https://doi.org/10.4208/eajam.100620.170920}, url = {http://global-sci.org/intro/article_detail/eajam/18417.html} }