Stability analysis, optical solitons and complexitons of the two-dimensional complex Ginzburg-Landau equation

被引：6
作者：
Mao, Jin-Jin [1 ]
Tian, Shou-Fu [1 ]
Zou, Li [2 ,3 ,4 ]
Zhang, Tian-Tian [1 ]
机构：
[1] China Univ Min & Technol, Sch Math, Xuzhou, Jiangsu, Peoples R China
[2] China Univ Min & Technol, Inst Math Phys, Xuzhou, Jiangsu, Peoples R China
[3] Dalian Univ Technol, State Key Lab Struct Anal Ind Equipment, Sch Naval Architecture, Dalian 116024, Peoples R China
[4] Collaborat Innovat Ctr Adv Ship & Deep Sea Explor, Shanghai 200240, Peoples R China
来源：
JOURNAL OF ELECTROMAGNETIC WAVES AND APPLICATIONS | 2019年 / 33卷 / 09期
基金：
中国国家自然科学基金; 中国博士后科学基金;
关键词：
Two-dimensional complex Ginzburg-Landau equation; bright soliton; dark soliton; stability analysis; complexitons; NONLINEAR SCHRODINGER-EQUATION; PERIODIC-WAVE SOLUTIONS; MODULATION INSTABILITY ANALYSIS; BOUNDARY VALUE-PROBLEMS; ROGUE WAVES; SOLITARY WAVES; BREATHER WAVES; CONSERVATION-LAWS; EXISTENCE; EXPANSION;
D O I：
10.1080/09205071.2019.1606736
中图分类号：
TM [电工技术]; TN [电子技术、通信技术];
学科分类号：
0808 ; 0809 ;
摘要：
In this paper, the two-dimensional complex Ginzburg-Landau equation is investigated, which describes phase transitions in superconductors near their critical temperature in the field of electromagnetic behavior dynamics and in the study of external magnetic fields. We employ the hypothetical method to find the bright soliton, dark soliton and complexitons of the equation. We also find its power series solution with its convergence analysis. Moreover, some constraint conditions are provided which can guarantee the existence of solitons. By use of the Hamiltonian description, we analyze the modulation instability and stable solutions. In order to further understand the dynamic behavior, the graphics analysis is provided of these solutions.
引用
收藏
页码：1224 / 1238
页数：15
相关论文
共 49 条
  • [1] Soliton-soliton interaction with parabolic law nonlinearity
    Biswas, A
    Konar, S
    Zerrad, E
    [J]. JOURNAL OF ELECTROMAGNETIC WAVES AND APPLICATIONS, 2006, 20 (07) : 927 - 939
  • [2] Biswas A., 2006, Introduction to Non-Kerr Law Optical solitons
  • [3] Creeping solitons of the complex Ginzburg-Landau equation with a low-dimensional dynamical system model
    Chang, Wonkeun
    Ankiewiez, Adrian
    Akhmediev, Nail
    [J]. PHYSICS LETTERS A, 2007, 362 (01) : 31 - 36
  • [4] Solitary waves, homoclinic breather waves and rogue waves of the (3+1)-dimensional Hirota bilinear equation
    Dong, Min-Jie
    Tian, Shou-Fu
    Yan, Xue-Wei
    Zou, Li
    [J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2018, 75 (03) : 957 - 964
  • [5] SOLITARY WAVE, BREATHER WAVE AND ROGUE WAVE SOLUTIONS OF AN INHOMOGENEOUS FIFTH-ORDER NONLINEAR SCHRODINGER EQUATION FROM HEISENBERG FERROMAGNETISM
    Feng, Lian-Li
    Tian, Shou-Fu
    Zhang, Tian-Tian
    [J]. ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2019, 49 (01) : 29 - 45
  • [6] Breather wave, rogue wave and solitary wave solutions of a coupled nonlinear Schrodinger equation
    Feng, Lian-Li
    Zhang, Tian-Tian
    [J]. APPLIED MATHEMATICS LETTERS, 2018, 78 : 133 - 140
  • [7] Ginzburg V., 1950, Zhurnal Eksperimental'noi i Teoreticheskoi Fiziki, V20, P1064, DOI [10.1016/b978-0-08-010586-4.50035-3, DOI 10.1142/S0217979210055378]
  • [8] Integrability, soliton solutions and modulation instability analysis of a (2+1)-dimensional nonlinear Heisenberg ferromagnetic spin chain equation
    Guo, Ding
    Tian, Shou-Fu
    Zhang, Tian -Tian
    [J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2019, 77 (03) : 770 - 778
  • [9] A new family of Thirring type optical spatial solitons via electromagnetically induced transparency
    Jana, Soumendu
    Konar, S.
    [J]. PHYSICS LETTERS A, 2007, 362 (5-6) : 435 - 438
  • [10] Soliton solutions for the Kundu-Eckhaus equation with the aid of unified algebraic and auxiliary equation expansion methods
    Kilic, Bulent
    Inc, Mustafa
    [J]. JOURNAL OF ELECTROMAGNETIC WAVES AND APPLICATIONS, 2016, 30 (07) : 871 - 879
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