@Article{EAJAM-11-1, author = {Xianguo, Geng and Mingming, Chen and Wang, Kedong}, title = {Application of the Nonlinear Steepest Descent Method to the Coupled Sasa-Satsuma Equation}, journal = {East Asian Journal on Applied Mathematics}, year = {2021}, volume = {11}, number = {1}, pages = {181--206}, abstract = {

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.

}, issn = {2079-7370}, doi = {https://doi.org/10.4208/eajam.220920.250920}, url = {https://global-sci.com/article/82519/application-of-the-nonlinear-steepest-descent-method-to-the-coupled-sasa-satsuma-equation} }