On the Dynamics of Solitons in the Nonlinear Schrodinger Equation

被引：5
|
作者：
Benci, Vieri [1 ]
Ghimenti, Marco [2 ]
Micheletti, Anna Maria [2 ]
机构：
[1] King Saud Univ, Coll Sci, Dept Math, Riyadh 11451, Saudi Arabia
[2] Univ Pisa, Dipartimento Matemat Applicata, Pisa, Italy
来源：
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS | 2012年 / 205卷 / 02期
关键词：
SOLITARY WAVES; SEMICLASSICAL LIMIT; STABILITY THEORY; GROUND-STATES; EXISTENCE; EVOLUTION; SYSTEMS;
D O I：
10.1007/s00205-012-0510-y
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the behavior of the soliton solutions of the equation i partial derivative psi/partial derivative t = -1/2m Delta psi + 1/2 W '(epsilon) (psi) + v(x)psi where is a suitable nonlinear term which is singular for We use the "strong" nonlinearity to obtain results on existence, shape, stability and dynamics of the soliton. The main result of this paper (Theorem 1) shows that epsilon -> 0 for the orbit of our soliton approaches the orbit of a classical particle in a potential V(x).
引用
收藏
页码：467 / 492
页数：26
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