Exact solutions to complex Ginzburg–Landau equation
YANG LIU SHUANGQING CHEN LIXIN WEI BING GUAN
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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.
YANG LIU1 2 SHUANGQING CHEN1 LIXIN WEI1 2 BING GUAN1
Volume 96, 2022
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