Stability of Multisolitons for the Derivative Nonlinear Schrodinger Equation

被引：20
作者：
Le Coz, Stefan [1 ,2 ,3 ]
Wu, Yifei [4 ]
机构：
[1] Inst Math Toulouse, F-31062 Toulouse 9, France
[2] Univ Toulouse, UMR5219, F-31062 Toulouse 9, France
[3] IMT, UPS, CNRS, F-31062 Toulouse 9, France
[4] Tianjin Univ, Ctr Appl Math, Tianjin 300072, Peoples R China
来源：
INTERNATIONAL MATHEMATICS RESEARCH NOTICES | 2018年 / 2018卷 / 13期
关键词：
GLOBAL WELL-POSEDNESS; MULTI-SOLITARY WAVES; ENERGY SPACE; ASYMPTOTIC STABILITY; SOLITONS; EXISTENCE; SYSTEMS; TRAINS; GKDV; SUM;
D O I：
10.1093/imrn/rnx013
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The nonlinear Schrodinger equation with derivative cubic nonlinearity admits a family of solitons, which are orbitally stable in the energy space. In this work, we prove the orbital stability of multisolitons configurations in the energy space, under suitable assumptions on the speeds and frequencies of the composing solitons. The main ingredients of the proof are modulation theory, energy coercivity, and monotonicity properties.
引用
收藏
页码：4120 / 4170
页数：51
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