期刊
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS
卷 45, 期 -, 页码 918-941出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.nonrwa.2018.08.004
关键词
Riemann-Hilbert problem; Darboux transformation; High-order soliton solution; Asymptotic analysis
资金
- Global Change Research Program of China [2015CB953904]
- National Natural Science Foundation of China [11275072, 11675054, 11435005]
- Shanghai Collaborative Innovation Center of Trustworthy Software for Internet of Things [ZF1213]
- Research Fund for the Doctoral Program of Higher Education of China [20120076110024]
- Network Information Physics Calculation of basic research innovation research group of China [61321064]
- Shanghai Minhang District talents of high level scientific research project
A study of high-order soliton matrices for Sasa-Satsuma equation in the framework of the Riemann-Hilbert problem approach is presented. Through a standard dressing procedure, soliton matrices for simple zeros and elementary high-order zeros in the Riemann-Hilbert problem for Sasa-Satsuma equation are constructed, respectively. It is noted that pairs of zeros are simultaneously tackled in the situation of the high-order zeros, which is different from other NLS-type equation. Furthermore, the generalized Darboux transformation for Sasa-Satsuma equation is also presented. Moreover, collision dynamics along with the asymptotic behavior for the two-solitons are analyzed, and long time asymptotic estimations for the high-order one-soliton are concretely calculated. In this case, two double-humped solitons with nearly equal velocities and amplitudes can be observed. (C) 2018 Elsevier Ltd. All rights reserved.
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