Soliton dynamics for fractional Schrodinger equations

被引：53
作者：
Secchi, Simone [1 ]
Squassina, Marco [2 ]
机构：
[1] Univ Milano Bicocca, Dipartimento Matemat & Applicaz, I-20125 Milan, Italy
[2] Univ Verona, Dipartimento Informat, I-37134 Verona, Italy
来源：
APPLICABLE ANALYSIS | 2014年 / 93卷 / 08期
关键词：
soliton dynamics; fractional Schrodinger equation; ground states; GROUND-STATES; STABILITY; UNIQUENESS;
D O I：
10.1080/00036811.2013.844793
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We investigate the soliton dynamics for the fractional nonlinear Schrodinger equation by a suitable modulational inequality. In the semiclassical limit, the solution concentrates along a trajectory determined by a Newtonian equation depending of the fractional diffusion parameter.
引用
收藏
页码：1702 / 1729
页数：28
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