Nonlinear modes for the Gross-Pitaevskii equation - a demonstrative computation approach

被引：60

作者：

Alfimov, G. L. ^{[1
]}

Zezyulin, D. A. ^{[1
]}

机构：

[1] Moscow Inst Elect Engn, Moscow 124498, Russia

来源：

NONLINEARITY | 2007年 / 20卷 / 09期

关键词：

D O I：

10.1088/0951-7715/20/9/004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A method for the study of steady-state nonlinear modes for the Gross-Pitaevskii equation (GPE) is described. It is based on the exact statement about the coding of the steady-state solutions of GPE which vanish as x -> +infinity by reals. This allows us to fulfil the demonstrative computation of nonlinear modes of GPE, i.e. the computation which allows us to guarantee that all nonlinear modes within a given range of parameters have been found. The method has been applied to GPE with quadratic and double-well potentials, for both repulsive and attractive nonlinearities. The bifurcation diagrams of nonlinear modes in these cases are represented. The stability of these modes has been discussed.

引用

页码：2075 / 2092

页数：18

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