TY - JOUR
T1 - Application of the Nonlinear Steepest Descent Method to the Coupled Sasa-Satsuma Equation
AU - Geng , Xianguo
AU - Chen , Mingming
AU - Wang , Kedong
JO - East Asian Journal on Applied Mathematics
VL - 1
SP - 181
EP - 206
PY - 2020
DA - 2020/11
SN - 11
DO - http://doi.org/10.4208/eajam.220920.250920
UR - https://global-sci.org/intro/article_detail/eajam/18419.html
KW - Coupled Sasa-Satsuma equation, nonlinear steepest descent method, long-time asymptotics.
AB - <p style="text-align: justify;">We use spectral analysis to reduce Cauchy problem for the coupled Sasa-Satsuma equation to a 5 × 5 matrix Riemann-Hilbert problem. The upper and lower
triangular factorisations of the jump matrix and a decomposition of the vector-valued
spectral function are given. Applying various transformations related to the Riemann-Hilbert problems and suitable decompositions of the jump contours and the nonlinear
steepest descent method, we establish the long-time asymptotics of the problem.</p>