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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pram/085/06/1063-1072

    • Keywords

       

      Nonlinear Schrödinger equation; exp-function method; breather soliton; rogue wave.

    • Abstract

       

      In this paper, a unified formula of a series of rogue wave solutions for the standard (1+1)-dimensional nonlinear Schrödinger equation is obtained through exp-function method. Further, by means of an appropriate transformation and previously obtained solutions, rogue wave solutions of the variable coefficient Schrödinger equation are also obtained. Two free functions of time 𝑡 and several arbitrary parameters are involved to generate a large number of wave structures.

    • Author Affiliations

       

      Changfu Liu1 Yan Yan Li1 Meiping Gao1 Zeping Wang1 Zhengde Dai2 Chuanjian Wang3

      1. School of Mathematics, Wenshan University, Wenshan, 663000, People's Republic of China
      2. School of Mathematics and Statistics, Yunnan University, Kunming, 650091, People's Republic of China
      3. School of Science, Kunming University of Science and Technology, Kunming, 650031, People's Republic of China

    • Dates

       
      Published
      December 2015
      Manuscript received
      2 May 2014
      Manuscript revised
      11 September 2014
      Accepted
      26 September 2014
      Early published
      15 July 2015

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