GAUSSONS - SOLITONS OF THE LOGARITHMIC SCHRODINGER EQUATION

被引：157

作者：

BIALYNICKIBIRULA, I ^{[1
]}

MYCIELSKI, J ^{[1
]}

机构：

[1] UNIV PITTSBURGH,DEPT THEORET PHYS,PITTSBURGH,PA 15260

来源：

PHYSICA SCRIPTA | 1979年 / 20卷 / 3-4期

关键词：

D O I：

10.1088/0031-8949/20/3-4/033

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Properties of the Schrö;dinger equation with the logarithmic nonlinearity are briefly described. This equation possesses soliton-like solutions in any number of dimensions, called gaussons for their Gaussian shape. Excited, stationary states of gaussons of various symmetries, in two and three dimensions are found numerically. The motion of gaussons in uniform electric and magnetic fields is studied and explicit solutions describing linear and rotational internal oscillations are found and analyzed. © 1979 IOP Publishing Ltd.

引用

页码：539 / 544

页数：6

共 8 条

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[2] NONLINEAR-WAVE MECHANICS
BIALYNICKIBIRULA, I
MYCIELSKI, J
[J]. ANNALS OF PHYSICS, 1976, 100 (1-2) : 62 - 93
[3] BOGOLUBSKY IL, UNPUBLISHED
[4] Marques G. C., 1977, Revista Brasileira de Fisica, V7, P297
[5] MARQUES GC, 1976, PHYS REV D, V14, P1056, DOI 10.1103/PhysRevD.14.1056
[6] MARQUES GC, 1978, J MATH PHYS, V19, P838
[7] OFICJALSKI J, 1978, ACTA PHYS POL B, V9, P759
[8] RELATIVISTIC BREAKDOWN OF A NONLINEAR CLASSICAL FIELD-THEORY
SCHICK, P
[J]. NUCLEAR PHYSICS B, 1976, 104 (01) : 137 - 140

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