Long-time asymptotic for the Hirota equation via nonlinear steepest descent method

被引：43

作者：

Huang, Lin ^{[1
]}

Xu, Jian ^{[2
]}

Fan, En-gui ^{[1
]}

机构：

[1] Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China

[2] Univ Shanghai Sci & Technol, Coll Sci, Shanghai 200093, Peoples R China

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2015年 / 26卷

基金：

中国国家自然科学基金;

关键词：

Hirota equation; Long-time asymptotic; Nonlinear steepest descent method; BEHAVIOR;

D O I：

10.1016/j.nonrwa.2015.05.011

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present the Riemann-Hilbert problem formalism for the initial value problem for the Hirota equation on the line. We show that the solution of this initial value problem can be obtained from that of associated Riemann-Hilbert problem, which allows us to use nonlinear steepest descent method/Deift-Zhou method to analyze the long-time asymptotic for the Hirota equation. (C) 2015 Elsevier Ltd. All rights reserved.

引用

页码：229 / 262

页数：34

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