Long-time asymptotics for the Hirota equation on the half-line

被引：26

作者：

Guo, Boling ^{[1
]}

Liu, Nan ^{[2
]}

Wang, Yufeng ^{[3
]}

机构：

[1] Inst Appl Phys & Computat Math, Beijing 100088, Peoples R China

[2] China Acad Engn Phys, Grad Sch, Beijing 100088, Peoples R China

[3] Minzu Univ China, Coll Sci, Beijing 100081, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2018年 / 174卷

基金：

中国国家自然科学基金;

关键词：

Hirota equation; Nonlinear steepest descent method; Long-time asymptotics; NONLINEAR SCHRODINGER-EQUATION; STEEPEST DESCENT METHOD; RIEMANN-HILBERT PROBLEMS; BOUNDARY VALUE-PROBLEMS; DECAYING INITIAL-VALUE; MKDV EQUATION;

D O I：

10.1016/j.na.2018.04.004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the Hirota equation on the quarter plane with the initial and boundary values belonging to the Schwartz space. The goal of this paper is to study the long-time behavior of the solution of this initial-boundary value problem based on the asymptotic analysis of an associated matrix Riemann-Hilbert problem. (C) 2018 Elsevier Ltd. All rights reserved.

引用

页码：118 / 140

页数：23

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