ON ASYMPTOTIC STABILITY OF GROUND STATES OF SOME SYSTEMS OF NONLINEAR SCHRODINGER EQUATIONS

被引：1
作者：
Comech, Andrew [1 ,2 ]
Cuccagna, Scipio [3 ]
机构：
[1] Texas A&M Univ, College Stn, TX USA
[2] Inst Informat Transmiss Problems, Moscow, Russia
[3] Univ Trieste, I-34127 Trieste, Italy
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2021年 / 41卷 / 03期
关键词：
Asymptotic stability; solitary waves; nonlinear Schrodinger equation; KLEIN-GORDON EQUATION; SOLITARY WAVES; WEAK INTERACTION; INSTABILITY;
D O I：
10.3934/dcds.2020316
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We extend to a specific class of systems of nonlinear Schrodinger equations (NLS) the theory of asymptotic stability of ground states already proved for the scalar NLS. Here the key point is the choice of an adequate system of modulation coordinates and the novelty, compared to the scalar NLS, is the fact that the group of symmetries of the system is non-commutative.
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页码：1225 / 1270
页数：46
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