Year: 2021
Author: Xianguo Geng, Mingming Chen, Kedong Wang
East Asian Journal on Applied Mathematics, Vol. 11 (2021), Iss. 1 : pp. 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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/eajam.220920.250920
East Asian Journal on Applied Mathematics, Vol. 11 (2021), Iss. 1 : pp. 181–206
Published online: 2021-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 26
Keywords: Coupled Sasa-Satsuma equation nonlinear steepest descent method long-time asymptotics.
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