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    4. Volume 91
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    • Fulltext

       

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pram/091/02/0029

    • Keywords

       

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

    • Abstract

       

      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.

    • Author Affiliations

       

      YANG LIU1 2 SHUANGQING CHEN1 LIXIN WEI1 2 BING GUAN1

      1. School of Petroleum Engineering, Northeast Petroleum University, Daqing, China
      2. Key Laboratory of Oil and Gas Storage and Transportation of CNPC, Northeast Petroleum University, Daqing, China

    • Dates

       
      Published
      1 August 2018
      Manuscript received
      13 November 2017
      Manuscript revised
      26 January 2018
      Accepted
      31 January 2018
      Early published
      Unedited version published online
      Final version published online
      17 July 2018

  • Pramana – Journal of Physics | News

    • Editorial Note on Continuous Article Publication

      Posted on July 25, 2019

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