Multisoliton solutions of the complex Ginzburg-Landau equation

被引：365

作者：

Akhmediev, NN ^{[1
]}

Ankiewicz, A ^{[1
]}

SotoCrespo, JM ^{[1
]}

机构：

[1] CSIC,INST OPT,E-28006 MADRID,SPAIN

来源：

PHYSICAL REVIEW LETTERS | 1997年 / 79卷 / 21期

关键词：

D O I：

10.1103/PhysRevLett.79.4047

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We present novel stable solutions which are soliton pairs and trains of the 1D complex Ginzburg-Landau equation (CGLE), and analyze them. We propose that the distance between the pulses and the phase difference between them is defined by energy and momentum balance equations. We present a two-dimensional phase plane (''interaction plane'') for analyzing the stability properties and general dynamics of two-soliton solutions of the CGLE.

引用

收藏

页码：4047 / 4051

页数：5

相关论文

共 27 条

[1] Soliton interaction in nonequilibrium dynamical systems [J].

Afanasjev, VV ;

Akhmediev, N .

PHYSICAL REVIEW E, 1996, 53 (06) :6471-6475

[2] INTERPRETATION OF THE EFFECT OF REDUCTION OF SOLITON INTERACTION BY BANDWIDTH-LIMITED AMPLIFICATION [J].

AFANASJEV, VV .

OPTICS LETTERS, 1993, 18 (10) :790-792

[3] Three forms of localized solutions of the quintic complex Ginzburg-Landau equation [J].

Afanasjev, VV ;

Akhmediev, N ;

SotoCrespo, JM .

PHYSICAL REVIEW E, 1996, 53 (02) :1931-1939

[4] GENERATION OF A TRAIN OF SOLITONS WITH ARBITRARY PHASE DIFFERENCE BETWEEN NEIGHBORING SOLITONS [J].

AKHMEDIEV, N ;

ANKIEWICZ, A .

OPTICS LETTERS, 1994, 19 (08) :545-547

[5] PROPAGATION DYNAMICS OF ULTRASHORT PULSES IN NONLINEAR FIBER COUPLERS [J].

AKHMEDIEV, N ;

SOTOCRESPO, JM .

PHYSICAL REVIEW E, 1994, 49 (05) :4519-4529

[6]

Akhmediev N., 1997, SOLITONS NONLINEAR P

[7] 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

[8] FORMATIONS OF SPATIAL PATTERNS AND HOLES IN THE GENERALIZED GINZBURG-LANDAU EQUATION [J].

BEKKI, N ;

NOZAKI, K .

PHYSICS LETTERS A, 1985, 110 (03) :133-135

[9] COUPLED-CAVITY MODE-LOCKING - A NONLINEAR MODEL [J].

BELANGER, PA .

JOURNAL OF THE OPTICAL SOCIETY OF AMERICA B-OPTICAL PHYSICS, 1991, 8 (10) :2077-2081

[10] STABILITY OF PASSIVELY MODE-LOCKED FIBER LASERS WITH FAST SATURABLE ABSORPTION [J].

CHEN, CJ ;

WAI, PKA ;

MENYUK, CR .

OPTICS LETTERS, 1994, 19 (03) :198-200