• LIXIN WEI

      Articles written in Pramana – Journal of Physics

    • Exact solutions to complex Ginzburg–Landau equation

      YANG LIU SHUANGQING CHEN LIXIN WEI BING GUAN

      More Details Abstract Fulltext PDF

      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.

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