VORTEX SOLITONS FOR 2D FOCUSING NONLINEAR SCHRODINGER EQUATION

被引：0
|
作者：
Mizumachi, Tetsu [1 ]
机构：
[1] Yokohama City Univ, Dept Math Sci, Yokohama, Kanagawa 2360027, Japan
来源：
DIFFERENTIAL AND INTEGRAL EQUATIONS | 2005年 / 18卷 / 04期
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D O I：
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中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study standing wave solutions of the form e(i(omega t+m theta))phi(omega)(r) to the nonlinear Schrodinger equation iu(t) + Delta u + vertical bar u vertical bar(p-1)u = 0 for x is an element of R-2 and t > 0, where (r, theta) are polar coordinates and m is an element of N boolean OR {0}. We prove that standing waves which have no node are unique for each rrt and that they are unstable if p > 3.
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页码：431 / 450
页数：20
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