Ground state solitary waves for nonlocal nonlinear Schrodinger systems

被引：1
|
作者：
Zhang, Guoqing [1 ]
Zuo, Anjie [1 ]
Liu, Sanyang [2 ]
机构：
[1] Univ Shanghai Sci & Technol, Coll Sci, Shanghai 200093, Peoples R China
[2] Xidian Univ, Coll Sci, Xian 710071, Peoples R China
来源：
JOURNAL OF MATHEMATICAL PHYSICS | 2020年 / 61卷 / 09期
关键词：
VORTEX SOLITONS; MEDIA;
D O I：
10.1063/1.5129030
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper, we studied a class of nonlocal nonlinear Schrodinger systems modeling the propagation of two polarized and coherent light beams in nematic liquid crystals. The existences of local and global solutions for the corresponding Cauchy problems were derived first upon applying Strichartz's estimates and conservation laws. The solitary wave solutions of the Schrodinger system were investigated next, and the existence of positive radially ground state vector solitary wave solutions was proved by using the rearrangement method and the minimization argument.
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收藏
页数：17
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