ON A SINGLE CLASS OF VORTEX SOLUTIONS OF NONLINEAR SCHRODINGER EQUATION

被引：0
|
作者：
Izmailova, K. K. [1 ]
Cherevko, A. A. [1 ]
Chupakhin, A. P. [2 ]
机构：
[1] Russian Acad Sci, Siberian Branch, Inst Hydrodynam, Academician Lavrentiev Ave 5, Novosibirsk 630090, Russia
[2] Novosibirsk State Univ, Novosibirsk 630090, Russia
来源：
SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA | 2014年 / 11卷
关键词：
differential equations; Schrodinger equation; Lie groups; invariant solutions;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This work presents a detailed studying one of invariant solutions of Schrodinger equation with cubic nonlinearity. We obtain this solution through the methods of group analysis of differential equations. The analysis of behavior of integral curves of the factor system representing the system of three ordinary differential equations is performed. Both analytical and numerical methods are used. The existence of periodical solutions for particular parameter value is proved. It is shown that in other cases all system trajectories tend asymptotically to some curve in the phase space. This curve, in its turn, is a trajectory for some value of parameter.
引用
收藏
页码：929 / 950
页数：22
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