Long-time asymptotics of a three-component coupled nonlinear Schrodinger system

被引：40
|
作者：
Ma, Wen-Xiu [1 ,2 ,3 ,4 ,5 ,6 ]
机构：
[1] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Zhejiang, Peoples R China
[2] King Abdulaziz Univ, Dept Math, Jeddah, Saudi Arabia
[3] Univ S Florida, Dept Math & Stat, Tampa, FL 33620 USA
[4] South China Univ Technol, Sch Math, Guangzhou 510640, Peoples R China
[5] Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao 266590, Shandong, Peoples R China
[6] North West Univ, Int Inst Symmetry Anal & Math Modeling, Dept Math Sci, Mafikeng Campus,Private Bag X2046, ZA-2735 Mmabatho, South Africa
来源：
JOURNAL OF GEOMETRY AND PHYSICS | 2020年 / 153卷
关键词：
Matrix spectral problem; Oscillatory Riemann-Hilbert problem; Long-time asymptotics; RIEMANN-HILBERT PROBLEMS; STEEPEST DESCENT METHOD; DE-VRIES EQUATION; INVERSE SCATTERING TRANSFORM; N-SOLITON SOLUTIONS; KORTEWEG-DEVRIES; HAMILTONIAN-STRUCTURE; SYMMETRY CONSTRAINTS; INTEGRABLE SYSTEMS; CONSERVATION-LAWS;
D O I：
10.1016/j.geomphys.2020.103669
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Starting from a specific example of 4 x 4 matrix spectral problems, an integrable coupled hierarchy, which includes a three-component coupled nonlinear Schrodinger system as the first nonlinear one, is generated, and an associated oscillatory Riemann-Hilbert problem is formulated. With the nonlinear steepest descent method, the leading long-time asymptotics for the Cauchy problem of the three-component coupled nonlinear Schrodinger system is computed, through deforming the oscillatory Riemann-Hilbert problem into a model one which is solvable. (C) 2020 Elsevier B.V. All rights reserved.
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页数：28
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