TY - JOUR
T1 - The Riemann-Hilbert Approach and $N$-Soliton Solutions of a Four-Component Nonlinear Schrödinger Equation
AU - Zhou , Xin-Mei
AU - Tian , Shou-Fu
AU - Yang , Jin-Jie
AU - Mao , Jin-Jin
JO - East Asian Journal on Applied Mathematics
VL - 1
SP - 143
EP - 163
PY - 2020
DA - 2020/11
SN - 11
DO - http://doi.org/10.4208/eajam.100620.170920
UR - https://global-sci.org/intro/article_detail/eajam/18417.html
KW - Four-component nonlinear Schrödinger equation, Riemann-Hilbert approach, $N$-soliton
solutions.
AB - <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>