Long-time asymptotics for the Sasa-Satsuma equation via nonlinear steepest descent method

被引：31
作者：
Liu, Nan [1 ]
Guo, Boling [2 ]
机构：
[1] China Acad Engn Phys, Grad Sch, Beijing 100088, Peoples R China
[2] Inst Appl Phys & Computat Math, Beijing 100088, Peoples R China
来源：
JOURNAL OF MATHEMATICAL PHYSICS | 2019年 / 60卷 / 01期
关键词：
RIEMANN-HILBERT PROBLEMS; SCHRODINGER-EQUATION; SOLITON-SOLUTIONS; OPTICAL SOLITONS; HIROTA EQUATION; NLS EQUATION;
D O I：
10.1063/1.5061793
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We formulate a 3 x 3 Riemann-Hilbert problem to solve the Cauchy problem for the Sasa-Satsuma equation on the line, which allows us to give a representation for the solution of the Sasa-Satsuma equation. We then apply the method of nonlinear steepest descent to compute the long-time asymptotics of the Sasa-Satsuma equation. Published under license by AIP Publishing.
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页数：25
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