Long-time asymptotics for the Fokas-Lenells equation with decaying initial value problem: Without solitons

被引：138

作者：

Xu, Jian ^{[1
]}

Fan, Engui ^{[2
,3
,4
]}

机构：

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

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

[3] Fudan Univ, Key Lab Math Nonlinear Sci, Shanghai 200433, Peoples R China

[4] Univ Macau, Dept Math, Macau, Peoples R China

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2015年 / 259卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Riemann-Hilbert problem; Fokas-Lenells equation; Initial value problem; Deift-Zhou method; NONLINEAR SCHRODINGER-EQUATION;

D O I：

10.1016/j.jde.2015.02.046

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We use the Deift-Zhou method to obtain, in the solitonless sector, the leading order asymptotic of the solution to the Cauchy problem of the Fokas-Lenells equation as t ->+infinity on the full-line. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：1098 / 1148

页数：51

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