Stationary pulses in two cubic-quintic Ginzburg-Landau equations coupled with a cross phase modulation term

被引：2
|
作者：
Alcaraz-Pelegrina, J. M. [1 ]
Rodriguez-Garcia, P. [1 ]
机构：
[1] Univ Cordoba, Fac Ciencias, Dept Fis, Cordoba 14071, Spain
来源：
PHYSICS LETTERS A | 2011年 / 375卷 / 30-31期
关键词：
Soliton pulse; Cubic-quintic CGLE coupled equations; SOLITONS;
D O I：
10.1016/j.physleta.2011.06.012
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Existence of stationary pulses are investigated in system modelled by two cubic-quintic Ginzburg-Landau equations coupled with a cross phase modulation term. Only for the symmetric case, that is, when the two components are equal, stationary pulses are obtained and several solutions coexist simultaneously. Direct numerical simulations were run in order to study the stability and the dynamics of the stationary pulses. (C) 2011 Elsevier B.V. All rights reserved.
引用
收藏
页码：2815 / 2822
页数：8
相关论文
共 50 条
  • [41] Theoretical analysis of solutions of cubic-quintic Ginzburg-Landau equation with gain saturation
    Shtyrina, Olga, V
    Yarutkina, Irina A.
    Skidin, Anton S.
    Podivilov, Evgeny, V
    Fedorukt, Mikhail P.
    OPTICS EXPRESS, 2019, 27 (05) : 6711 - 6718
  • [42] Exact Solutions for 2D cubic-quintic Ginzburg-Landau equation
    Shi, Ye-qiong
    Dai, Zheng-de
    Han, Song
    ISND 2007: PROCEEDINGS OF THE 2007 INTERNATIONAL SYMPOSIUM ON NONLINEAR DYNAMICS, PTS 1-4, 2008, 96
  • [43] Exploding soliton and front solutions of the complex cubic-quintic Ginzburg-Landau equation
    Soto-Crespo, JM
    Akhmediev, N
    MATHEMATICS AND COMPUTERS IN SIMULATION, 2005, 69 (5-6) : 526 - 536
  • [44] Detection and construction of an elliptic solution of the complex cubic-quintic Ginzburg-Landau equation
    R. Conte
    Tuen-Wai Ng
    Theoretical and Mathematical Physics, 2012, 172 : 1073 - 1084
  • [45] Singularities and special soliton solutions of the cubic-quintic complex Ginzburg-Landau equation
    Akhmediev, N.N.
    Afanasjev, V.V.
    Soto-Crespo, J.M.
    Physical Review E. Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, 1996, 53 (1-B pt B):
  • [46] Interaction of Two Pulsating Solitons with a Discrete Time Separation in Complex Cubic-Quintic Ginzburg-Landau Equation
    Bakhtiar, Nurizatul Syarfinas Ahmad
    Abdullah, Farah Aini
    Abu Hasan, Yahya
    PROCEEDINGS OF THE 21ST NATIONAL SYMPOSIUM ON MATHEMATICAL SCIENCES (SKSM21): GERMINATION OF MATHEMATICAL SCIENCES EDUCATION AND RESEARCH TOWARDS GLOBAL SUSTAINABILITY, 2014, 1605 : 125 - 130
  • [47] Anomalous Diffusion of Dissipative Solitons in the Cubic-Quintic Complex Ginzburg-Landau Equation in Two Spatial Dimensions
    Cisternas, Jaime
    Descalzi, Orazio
    Albers, Tony
    Radons, Guenter
    PHYSICAL REVIEW LETTERS, 2016, 116 (20)
  • [48] Instabilities and splitting of pulses in coupled Ginzburg-Landau equations
    Sakaguchi, H
    Malomed, BA
    PHYSICA D-NONLINEAR PHENOMENA, 2001, 154 (3-4) : 229 - 239
  • [49] Solitary pulses in linearly coupled Ginzburg-Landau equations
    Malomed, Boris A.
    CHAOS, 2007, 17 (03)
  • [50] COUNTERPROPAGATING PERIODIC PULSES IN COUPLED GINZBURG-LANDAU EQUATIONS
    MALOMED, BA
    PHYSICAL REVIEW E, 1993, 47 (06) : R3841 - R3843
12345