THE INFLUENCE OF NOISE ON CRITICAL COLLAPSE IN THE NONLINEAR SCHRODINGER-EQUATION

被引：33

作者：

RASMUSSEN, KO

GAIDIDEI, YB

BANG, O

CHRISTIANSEN, PL

机构：

[1] INST THEORET PHYS,KIEV 143,UKRAINE

[2] ECOLE NORMALE SUPER LYON,PHYS LAB,F-69364 LYON 07,FRANCE

来源：

PHYSICS LETTERS A | 1995年 / 204卷 / 02期

关键词：

D O I：

10.1016/0375-9601(95)00490-T

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Multiplicative Gaussian white noise is included in the nonlinear Schrodinger equation of one and two dimensions in the critical case, in which collapse occurs. The collective coordinate method is used to derive analytical results concerning the effects of the noise on the collapse process. This approach makes it possible to distinguish between the one- and two-dimensional case. The analytical results are in good agreement with numerical results obtained directly from the partial differential equation.

引用

页码：121 / 127

页数：7

共 21 条

[1]

ABLOWITZ MJ, 1976, J MATH PHYS, V17, P481

[2]

AKHMANOV SA, 1968, SOV PHYS JETP, V35, P609

[3] SELF-TRAPPED CYLINDRICAL LASER-BEAMS [J].

ANDERSON, D ;

BONNEDAL, M ;

LISAK, M .

PHYSICS OF FLUIDS, 1979, 22 (09) :1838-1840

[4] TEMPERATURE EFFECTS IN A NONLINEAR MODEL OF MONOLAYER SCHEIBE AGGREGATES [J].

BANG, O ;

CHRISTIANSEN, PL ;

IF, F ;

RASMUSSEN, KO ;

GAIDIDEI, YB .

PHYSICAL REVIEW E, 1994, 49 (05) :4627-4636

[5]

BANG O, 1993, THESIS TU DENMARK LY

[6]

BANG O, UNPUB APPL ANAL

[7] NON-SELF-SIMILAR COLLAPSING SOLUTIONS OF THE NONLINEAR SCHRODINGER-EQUATION AT THE CRITICAL DIMENSION [J].

BERGE, L ;

PESME, D .

PHYSICAL REVIEW E, 1993, 48 (02) :R684-R687

[8] SELF-TRAPPING OF OPTICAL BEAMS [J].

CHIAO, RY ;

GARMIRE, E ;

TOWNES, CH .

PHYSICAL REVIEW LETTERS, 1964, 13 (15) :479-&

[9]

Christiansen P.L., 1990, NATO ASI SERIES B, V243

[10] VARIATIONAL APPROACH TO COLLAPSE OF OPTICAL PULSES [J].

DESAIX, M ;

ANDERSON, D ;

LISAK, M .

JOURNAL OF THE OPTICAL SOCIETY OF AMERICA B-OPTICAL PHYSICS, 1991, 8 (10) :2082-2086

← 1 2 3 →