Global solutions and self-similar solutions for coupled nonlinear Schrodinger equations

被引：1

作者：

Ye, Yaojun ^{[1
]}

机构：

[1] Zhejiang Univ Sci & Technol, Dept Math & Informat Sci, Hangzhou 310023, Zhejiang, Peoples R China

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2017年 / 40卷 / 12期

基金：

中国国家自然科学基金;

关键词：

coupled nonlinear Schrodinger equations; Cauchy problem; global solutions; self-similar solutions; PROGRESSING WAVES; CAUCHY-PROBLEM; BLOW-UP;

D O I：

10.1002/mma.4329

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we prove the existence and uniqueness for the global solutions of Cauchy problem for coupled nonlinear Schrodinger equations and obtain the continuous dependence result on the initial data and the stronger decay estimate of global solutions. In particular, we show the existence and uniqueness of self-similar solutions. Also, we build some asymptotically self-similar solutions. Copyright (C) 2017 JohnWiley & Sons, Ltd.

引用

页码：4613 / 4624

页数：12

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