Multi solitary waves for nonlinear Schrodinger equations

被引：87

作者：

Martel, Yvan

Merle, Frank

机构：

[1] Univ Versailles St Quentin Yvelines, Dept Math, F-78035 Versailles, France

[2] Univ Cergy Pontoise, Dept Math, F-95302 Cergy Pontoise, France

来源：

ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE | 2006年 / 23卷 / 06期

关键词：

nonlinear Schrodinger equations; multi solitary waves; asymptotic behavior;

D O I：

10.1016/j.anihpc.2006.01.001

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the nonlinear Schrodinger equation in R-d for any d >= 1, with a nonlinearity such that solitary waves exist and are stable. Let R-k (t, x) be K arbitrarily given solitary waves of the equation with different speeds nu(1), nu(2),...,nu(K). In this paper, we prove that there exists a solution u(t) of the equation such that lim (t -->+infinity)parallel to u(t) - Sigma(K)(k=1) R-k(t)parallel to(H1) = 0. (C) 2006 Elsevier Masson SAS. All rights reserved.

引用

页码：849 / 864

页数：16

共 17 条

[1]

BERESTYCKI H, 1983, ARCH RATION MECH AN, V82, P313

[2] THE CAUCHY-PROBLEM FOR THE CRITICAL NONLINEAR SCHRODINGER-EQUATION IN HS [J].