Stability of the traveling waves for the derivative Schrodinger equation in the energy space

被引：11
作者：
Miao, Changxing [1 ]
Tang, Xingdong [2 ]
Xu, Guixiang [1 ]
机构：
[1] Inst Appl Phys & Computat Math, POB 8009, Beijing 100088, Peoples R China
[2] Beijing Computat Sci Res Ctr, 10 West Dongbeiwang Rd, Beijing 100193, Peoples R China
来源：
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | 2017年 / 56卷 / 02期
关键词：
GLOBAL WELL-POSEDNESS; SOLITARY WAVES; ORBITAL STABILITY; MAGNETIC-FIELD; GROUND-STATES; SOLITONS; INSTABILITY; SUM;
D O I：
10.1007/s00526-017-1128-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we continue the study of the dynamics of the traveling waves for nonlinear Schrodinger equation with derivative (DNLS) in the energy space. Under some technical assumptions on the speed of each traveling wave, the stability of the sum of two traveling waves for DNLS is obtained in the energy space by Martel-Merle-Tsai's analytic approach in Martel et al. (Commun Math Phys 231(2): 347-373, 2002, Duke Math J 133(3): 405-466, 2006). As a by-product, we also give an alternative proof of the stability of the single traveling wave in the energy space in Colin andOhta (Ann Inst Henri Poincare Anal Non Lineaire 23(5): 753-764, 2006), where Colin and Ohta made use of the concentration-compactness argument.
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页数：48
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