Exact solutions to complex Ginzburg–Landau equation

Pramana: Journal of physics

SHUANGQING CHEN^1¹  YANG LIU^1,2² 

[1] Key Laboratory of Oil and Gas Storage and Transportation of CNPC, Northeast Petroleum University, Daqing, China^2;School of Petroleum Engineering, Northeast Petroleum University, Daqing, China^1

关键词: Complex Ginzburg–Landau equation;    complete discrimination system for polynomial method;    trial equation method;    exact travelling wave solutions;   

DOI  :  

学科分类：物理（综合）

来源: Indian Academy of Sciences

【 摘 要 】

In this paper, the trial equation method and the complete discrimination system for polynomial method are applied to retrieve the exact travelling wave solutions of complex Ginzburg–Landau equation. Both the Kerr and power laws of nonlinearity are considered. All the possible exact travelling wave solutions consisting of the rational function-type solutions, solitary wave solutions, triangle function-type periodic solutions and Jacobianelliptic functions solutions are obtained, and some of them are new solutions. In addition, concrete examples are presented to ensure the existence of obtained solutions. Moreover, four types of representative solutions are depicted to present the nature of the obtained solutions.

【 授权许可】

CC BY