Multi solitary waves for nonlinear Schrodinger equations

被引：83
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.
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页码：849 / 864
页数：16
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