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    • Computational soliton solutions to (3 + 1)-dimensional generalised Kadomtsev–Petviashvili and (2 + 1)-dimensional Gardner–Kadomtsev–Petviashvili models and their applications

      KALIM U TARIQ ALY R SEADAWY SULTAN Z ALAMRI

      Research Article Volume 91 Issue 5 November 2018 Article ID 0068

    • Fulltext

       

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pram/091/05/0068

    • Keywords

       

      Soliton solutions; Gardner–Kadomtsev–Petviashvili equation; generalised Kadomtsev–Petviashvili equation; auxiliary equation method

    • Abstract

       

      In this paper, the auxiliary equation method is successfully applied to compute analytical solutions for (3+1)-dimensional generalised Kadomtsev–Petviashvili and (2+1)-dimensional Gardner–Kadomtsev–Petviashvili equations, by introducing simple transformations. These results hold numerous travelling wave solutions that areof key importance which provide a powerful mathematical tool for solving nonlinear wave equations in recent era of applied science and engineering. The method can also be extended to other nonlinear evolution models arisingin contemporary physics.

    • Author Affiliations

       

      KALIM U TARIQ1 2 ALY R SEADAWY3 4 SULTAN Z ALAMRI3

      1. School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan 430074, People’s Republic of China
      2. Department of Mathematics, Mirpur University of Science and Technology, Mirpur (AJK) 10250, Pakistan
      3. Mathematics Department, Faculty of Science, Taibah University, Al-Madinah Al-Munawarah, Saudi Arabia
      4. Mathematics Department, Faculty of Science, Beni-Suef University, Beni Suef, Egypt

    • Dates

       
      Published
      1 November 2018
      Manuscript received
      1 January 2018
      Manuscript revised
      10 April 2018
      Accepted
      12 April 2018
      Early published
      Unedited version published online
      Final version published online
      19 September 2018

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