Riemann-Hilbert approach and long-time asymptotics for the three-component derivative nonlinear Schrodinger equation

被引：3
|
作者：
Wang, Kedong [1 ]
Geng, Xianguo [1 ]
Chen, Mingming [1 ]
Xue, Bo [1 ]
机构：
[1] Zhengzhou Univ, Sch Math & Stat, 100 Kexue Rd, Zhengzhou 450001, Henan, Peoples R China
来源：
ANALYSIS AND MATHEMATICAL PHYSICS | 2022年 / 12卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Nonlinear steepest descent method; Three-component derivative nonlinear SchrOdinger equation; Long-time asymptotics; STEEPEST DESCENT METHOD;
D O I：
10.1007/s13324-022-00683-9
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The Cauchy problem of the three-component derivative nonlinear Schrodinger equation is turned into a 4 x 4 matrix Riemann-I filbert problem by utilizing the spectral analysis. Through a transformation of the spectral parameters, a reduced Riemann- Hilbert problem is derived. Two distinct factorizations of the jump matrix for the reduced Riemann-Hilbert problem and a decomposition of the vector spectral function are deduced. The leading-order asymptotics of the solution for the Cauchy problem of the three-component derivative nonlinear Schrodinger equation is obtained with the aid of the Deift-Zhou nonlinear steepest descent method.
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收藏
页数：33
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