Soliton dynamics for the nonlinear Schrödinger equation with magnetic field

Soliton dynamics for the nonlinear Schrödinger equation with magnetic field
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DOI:
10.1007/s00229-009-0307-y
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发表时间:
2008-11
影响因子:
0.6
通讯作者:
M. Squassina
M. Squassina
中科院分区:
数学4区
文献类型:
--
作者:
M. Squassina

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本文以一个相关的定态方程的基态解为初始数据,研究了具有非定常电磁势V,A的非线性聚焦薛定谔方程的半经典区.溶液的浓度曲线是二阶常方程的解的参数化,其中是给定磁位A的磁场。
The semiclassical regime of a nonlinear focusing Schrödinger equation in presence of non-constant electric and magnetic potentialsV,Ais studied by taking as initial datum the ground state solution of an associated autonomous stationary equation. The concentration curve of the solutions is a parameterization of the solutions of the second order ordinary equation, whereis the magnetic field of a given magnetic potentialA.