The Deift-Zhou steepest descent method to long-time asymptotics for the Sasa-Satsuma equation

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:265

Article

Liu, Huan¹  Geng, Xianguo¹  Xue, Bo¹ 

[1] Zhengzhou Univ, Sch Math & Stat, 100 Kexue Rd, Zhengzhou 450001, Henan, Peoples R China

关键词: Riemann-Hilbert problem;    Sasa-Satsuma equation;    Long-time asymptotics;   

DOI  :  10.1016/j.jde.2018.07.026

来源: Elsevier

【 摘 要 】

The initial value problem for the Sasa-Satsuma equation is transformed to a 3 x 3 matrix Riemann-Hilbert problem with the help of the corresponding Lax pair. Two distinct factorizations of the jump matrix and a decomposition of the vector-valued function rho(k) are given, from which the long-time asymptotics for the Sasa-Satsuma equation with decaying initial data is obtained by using the nonlinear steepest descent method. (C) 2018 Elsevier Inc. All rights reserved.

【 授权许可】

Free