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".

引用

页码：357 / 361

页数：5

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