SPATIOTEMPORAL PULSE COLLAPSE ON PERIODIC POTENTIALS

被引：24

作者：

KIVSHAR, YS ^{[1
]}

TURITSYN, SK ^{[1
]}

机构：

[1] RUSSIAN ACAD SCI, INST AUTOMAT & ELECTROMETRY, NOVOSIBIRSK 630090, RUSSIA

来源：

PHYSICAL REVIEW E | 1994年 / 49卷 / 04期

关键词：

D O I：

10.1103/PhysRevE.49.R2536

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

We present analytical results, based on the separation of different spatial scales and integral relations, which describe the spatiotemporal evolution of pulses in a nonlinear medium with periodically varying parameters (e.g., a nonlinear waveguide with a grating). Exact sufficient criteria for blow-up are formulated and the dependence of the spatiotemporal pulse collapse on the grating amplitude and period is discussed.

引用

页码：R2536 / R2539

页数：4

共 21 条

[1] SPATIOTEMPORAL PULSE DYNAMICS IN A PERIODIC NONLINEAR WAVE-GUIDE [J].

ACEVES, AB ;

DEANGELIS, C .

OPTICS LETTERS, 1993, 18 (02) :110-112

[2] SELF-INDUCED TRANSPARENCY SOLITONS IN NONLINEAR REFRACTIVE PERIODIC MEDIA [J].

ACEVES, AB ;

WABNITZ, S .

PHYSICS LETTERS A, 1989, 141 (1-2) :37-42

[3] ON LOCALIZATION IN THE DISCRETE NONLINEAR SCHRODINGER-EQUATION [J].

BANG, O ;

RASMUSSEN, JJ ;

CHRISTIANSEN, PL .

PHYSICA D, 1993, 68 (01) :169-173

[4] SLOW BRAGG SOLITONS IN NONLINEAR PERIODIC STRUCTURES [J].

CHRISTODOULIDES, DN ;

JOSEPH, RI .

PHYSICAL REVIEW LETTERS, 1989, 62 (15) :1746-1749

[5] 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

[6] ENVELOPE-FUNCTION APPROACH FOR THE ELECTRODYNAMICS OF NONLINEAR PERIODIC STRUCTURES [J].

DESTERKE, CM ;

SIPE, JE .

PHYSICAL REVIEW A, 1988, 38 (10) :5149-5165

[7] STABILIZATION OF BREATHERS IN A PARAMETRICALLY DRIVEN SINE-GORDON SYSTEM WITH LOSS [J].

GRONBECHJENSEN, N ;

KIVSHAR, YS ;

SAMUELSEN, MR .

PHYSICAL REVIEW B, 1991, 43 (07) :5698-5701

[8] SOLITONS ON OSCILLATING AND ROTATING BACKGROUNDS [J].

GRONBECHJENSEN, N ;

KIVSHAR, YS ;

SALERNO, M .

PHYSICAL REVIEW LETTERS, 1993, 70 (21) :3181-3185

[9] CREATION OF NONLINEAR LOCALIZED MODES IN DISCRETE LATTICES [J].

KIVSHAR, YS .

PHYSICAL REVIEW E, 1993, 48 (05) :4132-4135

[10]

KIVSHAR YS, IN PRESS PHYS REV E

← 1 2 3 →