On the Cauchy problem for the Korteweg-de Vries equation with steplike finite-gap initial data: I. Schwartz-type perturbations

被引：38

作者：

Egorova, Iryna ^{[1
]}

Grunert, Katrin ^{[2
]}

Teschl, Gerald ^{[2
,3
]}

机构：

[1] B Verkin Inst Low Temp Phys, UA-61103 Kharkov, Ukraine

[2] Fac Math, A-1090 Vienna, Austria

[3] Int Erwin Schrodinger Inst Math Phys, A-1090 Vienna, Austria

来源：

NONLINEARITY | 2009年 / 22卷 / 06期

基金：

奥地利科学基金会;

关键词：

TODA SHOCK PROBLEM; DEVRIES EQUATION; ASYMPTOTICS; PROFILE;

D O I：

10.1088/0951-7715/22/6/009

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We solve the Cauchy problem for the Korteweg-de Vries equation with initial conditions which are steplike Schwartz-type perturbations of finite-gap potentials under the assumption that the respective spectral bands either coincide or are disjoint.

引用

页码：1431 / 1457

页数：27

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