Soliton interaction in nonequilibrium dynamical systems

被引:53
作者
Afanasjev, VV
Akhmediev, N
机构
[1] Optical Sciences Centre, The Australian National University
来源
PHYSICAL REVIEW E | 1996年 / 53卷 / 06期
关键词
D O I
10.1103/PhysRevE.53.6471
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 propose an approach to numerical analysis of soliton interactions in dynamical systems described by the Ginzburg-Landau equation. This approach is based on the analysis of soliton trajectories in a phase plane. The main features of the interaction are represented in sufficient detail to permit understanding of the formation of bound states and their stability. Among the bound states we find some with pi/2 out-of-phase solitons.
引用
收藏
页码:6471 / 6475
页数:5
相关论文
共 25 条
[1]   HIGHER-ORDER EFFECTS IN BANDWIDTH-LIMITED SOLITON PROPAGATION IN OPTICAL FIBERS [J].
ACEVES, AB ;
DEANGELIS, C ;
NALESSO, G ;
SANTAGIUSTINA, M .
OPTICS LETTERS, 1994, 19 (24) :2104-2106
[2]   SOLITON SINGULARITY IN THE SYSTEM WITH NONLINEAR GAIN [J].
AFANASJEV, VV .
OPTICS LETTERS, 1995, 20 (07) :704-706
[3]   INTERACTION OF INITIALLY OVERLAPPING SOLITONS WITH DIFFERENT FREQUENCIES [J].
AFANASJEV, VV ;
VYSLOUKH, VA .
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA B-OPTICAL PHYSICS, 1994, 11 (12) :2385-2393
[4]   INTERPRETATION OF THE EFFECT OF REDUCTION OF SOLITON INTERACTION BY BANDWIDTH-LIMITED AMPLIFICATION [J].
AFANASJEV, VV .
OPTICS LETTERS, 1993, 18 (10) :790-792
[5]   OPTICAL PULSE-PROPAGATION IN DOPED FIBER AMPLIFIERS [J].
AGRAWAL, GP .
PHYSICAL REVIEW A, 1991, 44 (11) :7493-7501
[6]   EFFECT OF 2-PHOTON ABSORPTION ON THE AMPLIFICATION OF ULTRASHORT OPTICAL PULSES [J].
AGRAWAL, GP .
PHYSICAL REVIEW E, 1993, 48 (03) :2316-2318
[7]   NOVEL ARBITRARY-AMPLITUDE SOLITON-SOLUTIONS OF THE CUBIC-QUINTIC COMPLEX GINZBURG-LANDAU EQUATION [J].
AKHMEDIEV, N ;
AFANASJEV, VV .
PHYSICAL REVIEW LETTERS, 1995, 75 (12) :2320-2323
[8]   Singularities and special soliton solutions of the cubic-quintic complex Ginzburg-Landau equation [J].
Akhmediev, NN ;
Afanasjev, VV ;
SotoCrespo, JM .
PHYSICAL REVIEW E, 1996, 53 (01) :1190-1201
[9]  
ANDERSON D, 1986, OPT LETT, V32, P2270
[10]   INTERACTION OF LOCALIZED SOLUTIONS FOR SUBCRITICAL BIFURCATIONS [J].
BRAND, HR ;
DEISSLER, RJ .
PHYSICAL REVIEW LETTERS, 1989, 63 (26) :2801-2804