四川师范大学学报（自然科学版）2013，Vol.36Issue(2)：243-246,4.DOI:10.3969/j.issn.1001-8395.2013.02.019
非线性Schr(o)dinger方程组初值问题的驻波解
The Existence and Stability of the Standing Wave Solutions for the Initial-value Problem of the Nonlinear Schr(o)dinger Equations
摘要
Abstract
This paper discusses the nonlinear Schr(o)dinger equations with harmonic potential (i. e. the coupled Gross - Pitaevskii equations) in R3 , which are used to describe the mixed Bose - Einstein condensates in physics. This paper proves the existence and stability of the standing wave solutions for the Cauchy problem of the GP equations with the variational calculus from a tightness lemma.关键词
混合Bose-Einstein凝聚/耦合Gross-Pitaevskii方程组/变分法/驻波解/存在性/稳定性Key words
mixed Bose-Einstein condensate/ coupled Gross-Pitaevskii equations/ variationaJ calculus/ standing wave solutions/分类
数理科学引用本文复制引用
邓艳萍,周钰谦..非线性Schr(o)dinger方程组初值问题的驻波解[J].四川师范大学学报（自然科学版）,2013,36(2):243-246,4.基金项目
四川省教育厅青年基金(07ZB015)资助项目 （07ZB015）
