Ginzburg-Landau-Schr dinger方程的约化涡旋动力学行为  

The reduced dynamics law of Ginzburg-Landau-Schr dinger equation

作　　者：张艳妮 姜琪 邢维 ZHANG Yan-ni;JIANG Qi;XING Wei(Basic Courses Teaching and Research Department,Jilin Business and Technology College,Changchun 130102,China;Teaching Section of Mathematics,Lantian Middle School of Kuancheng District,Changchun 130051,China;Department of Basic Science,Dalian Naval Academy,Dalian 116013,China)

机构地区：[1]吉林工商学院基础教研部,吉林长春130102 [2]长春市宽城区蓝田中学数学教研室,吉林长春130051 [3]海军大连舰艇学院基础部,辽宁大连116013

出　　处：《东北师大学报（自然科学版）》2024年第3期27-32,共6页Journal of Northeast Normal University(Natural Science Edition)

基　　金：吉林省教育厅科学技术研究项目(JJKH20221208KJ);吉林省自然科学基金资助项目(20200201264JC).

摘　　要：研究了一类非线性GLS方程的约化涡旋动力系统,给出了2个涡旋在任意初始条件下的动力学行为的完整刻画,并利用首次积分证明出N个具有相同涡旋指标的涡旋不存在有限时间碰撞.The GLS equation under the reduced dynamic law is studied.A complete description of the dynamic behavior of two vortices under any initial conditions is given.It is shown that N vortex centers with the same winding numbers are at least two vortices move to infinity as t→∞using first integral.

关 键 词：非线性GLS方程 量子涡旋 首次积分 有限时间碰撞 

分 类 号：O175.29[理学—数学]