EXACT SOLUTIONS FOR THE COMPLEX GINZBURG-LANDAU EQUATION

被引:0
|
作者
Qi, Peng [1 ]
Wu, Dongsheng [1 ]
Gao, Cuiyun [1 ]
Shao, Hui [1 ]
机构
[1] Anhui Univ Architecture, Sch Elect & Informat Engn, Hefei 230601, Peoples R China
关键词
Complex Ginzburg-Landau equation; Ansatz method; Auxiliary function method; Exact solutions; WAVE;
D O I
暂无
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
A complex Ginzburg-Landau (CGL) equation is investigated in this paper. With the ansatz ethod and auxiliary function method, exact soliton solutions for the CGL equation is obtained theoretically. Results would be valuable to the studies on chaotic dynamics in the fluid mechanical systems, as well as in the theory of the phase transitions and superconductivity.
引用
收藏
页码:675 / 677
页数:3
相关论文
共 50 条
  • [1] Exact solutions to complex Ginzburg-Landau equation
    Liu, Yang
    Chen, Shuangqing
    Wei, Lixin
    Guan, Bing
    [J]. PRAMANA-JOURNAL OF PHYSICS, 2018, 91 (02):
  • [2] On exact solutions of modified complex Ginzburg-Landau equation
    Yomba, E
    Kofané, TC
    [J]. PHYSICA D-NONLINEAR PHENOMENA, 1999, 125 (1-2) : 105 - 122
  • [3] Exact periodic solutions of the complex Ginzburg-Landau equation
    Porubov, AV
    Velarde, MG
    [J]. JOURNAL OF MATHEMATICAL PHYSICS, 1999, 40 (02) : 884 - 896
  • [4] New Exact Solutions of the Fractional Complex Ginzburg-Landau Equation
    Huang, Chun
    Li, Zhao
    [J]. MATHEMATICAL PROBLEMS IN ENGINEERING, 2021, 2021
  • [5] The exact solutions of the stochastic Ginzburg-Landau equation
    Mohammed, Wael W.
    Ahmad, Hijaz
    Hamza, Amjad E.
    ALy, E. S.
    El-Morshedy, M.
    Elabbasy, E. M.
    [J]. RESULTS IN PHYSICS, 2021, 23
  • [6] Exact localized and periodic solutions of the discrete complex Ginzburg-Landau equation
    Maruno, K
    Ankiewicz, A
    Akhmediev, N
    [J]. OPTICS COMMUNICATIONS, 2003, 221 (1-3) : 199 - 209
  • [7] Multi-order exact solutions of the complex Ginzburg-Landau equation
    Liu, SK
    Fu, ZT
    Liu, SD
    Zhao, Q
    [J]. PHYSICS LETTERS A, 2000, 269 (5-6) : 319 - 324
  • [8] EXACT-SOLUTIONS OF THE GENERALIZED GINZBURG-LANDAU EQUATION
    NOZAKI, K
    BEKKI, N
    [J]. JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1984, 53 (05) : 1581 - 1582
  • [9] Multisoliton solutions of the complex Ginzburg-Landau equation
    Akhmediev, NN
    Ankiewicz, A
    SotoCrespo, JM
    [J]. PHYSICAL REVIEW LETTERS, 1997, 79 (21) : 4047 - 4051
  • [10] Soliton Solutions of the Complex Ginzburg-Landau Equation
    Rasheed, Faisal Salah Yousif
    Aziz, Zainal Abdul
    [J]. MATEMATIKA, 2009, 25 (01): : 39 - 51