LONG-TIME ASYMPTOTICS FOR THE DEGASPERIS-PROCESI EQUATION ON THE HALF-LINE

被引：0

作者：

De Monvel, Anne Boutet ^{[1
]}

Lenells, Jonatan ^{[2
]}

Shepelsky, Dmitry ^{[3
,4
]}

机构：

[1] Univ Paris Diderot, Inst Math Jussieu PRG, F-75205 Paris 13, France

[2] KTH Royal Inst Technol, Dept Math, S-10044 Stockholm, Sweden

[3] Inst Low Temp Phys, Math Div, UA-61103 Kharkov, Ukraine

[4] Kharkov Natl Univ, Sch Math & Comp Sci, UA-61022 Kharkov, Ukraine

来源：

ANNALES DE L INSTITUT FOURIER | 2019年 / 69卷 / 01期

基金：

瑞典研究理事会; 欧洲研究理事会; 英国工程与自然科学研究理事会;

关键词：

Degasperis-Procesi equation; long-time asymptotics; Riemann-Hilbert problem; boundary value problem; RIEMANN-HILBERT PROBLEMS; STEEPEST DESCENT METHOD; BEHAVIOR;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We analyze the long-time asymptotics for the Degasperis- Procesi equation on the half-line. By applying nonlinear steepest descent techniques to an associated 3 x 3-matrix valued Riemann-Hilbert problem, we find an explicit formula for the leading order asymptotics of the solution in the similarity region in terms of the initial and boundary values.

引用

页码：171 / 230

页数：60

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