Collapse in the nonlinear Schrodinger equation of critical dimension {σ=1, D=2}

被引：2
|
作者：
Ovchinnikov, YN [1 ]
Sigal, IM
机构：
[1] Max Planck Inst Phys Complex Syst, D-01187 Dresden, Germany
[2] Russian Acad Sci, LD Landau Theoret Phys Inst, Moscow 117940, Russia
[3] Univ Toronto, Dept Math, Toronto, ON M5S 3G3, Canada
来源：
JETP LETTERS | 2002年 / 75卷 / 07期
基金：
俄罗斯基础研究基金会;
关键词：
02.30.Jr; 03.65.Ge;
D O I：
10.1134/1.1485267
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Collapsing solutions to the nonlinear Schrodinger equation of critical dimension {sigma = 1, D = 2} are analyzed in the adiabatic approximation. A three-parameter set of solutions is obtained for the scale factor lambda(t). It is shown that the Talanov solution lies on the separatrix between the regions of collapse and convenient expansion. A comparison with numerical solutions indicates that weakly collapsing solutions provide a good initial approximation to the collapse problem. (C) 2002 MAIK "Nauka / Interperiodica".
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页码：357 / 361
页数：5
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