STABILITY OF EXACT SOLUTIONS OF THE CUBIC-QUINTIC NONLINEAR SCHRODINGER EQUATION WITH PERIODIC POTENTIAL

被引：0
|
作者：
Kengne, E. [1 ,2 ]
Vaillancourt, R. [2 ]
机构：
[1] Univ Ottawa, Ottawa, ON, Canada
[2] Univ Dschang, Douala, Cameroon
来源：
NONLINEAR OSCILLATIONS | 2011年 / 13卷 / 04期
基金：
加拿大自然科学与工程研究理事会;
关键词：
BOSE-EINSTEIN CONDENSATE; SOLITONS; COLLAPSE;
D O I：
10.1007/s11072-011-0132-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The nonlinear Schrodinger equation with attractive quintic nonlinearity in periodic potential in 1D, modeling a dilute-gas Bose-Einstein condensate in a lattice potential, is considered and one family of exact stationary solutions is discussed. Some of these solutions have an analog neither in the linear Schrodinger equation nor in the integrable nonlinear Schrodinger equation. Their stability is examined analytically and numerically.
引用
收藏
页码：569 / 583
页数：15
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