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

页码：1224 / 1238

页数：15

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