1. Home
    2. Journals
    3. Pramana – Journal of Physics
    4. Volume 92
    5. Issue 2

    • Fulltext

       

        Click here to view fulltext PDF


      Permanent link:
      https://www.ias.ac.in/article/fulltext/pram/092/02/0024

    • Keywords

       

      Non-local Boussinesq (nlBq) equation; Lie symmetry analysis; extended Kudryashov’s algorithm; multiple exp-function algorithm

    • Abstract

       

      In this paper, we study the exact solutions of non-local Boussinesq equation (nlBq) which appears in many scientific fields. We generate dark solitons, singular solitons, a new family of solitons and combo dark–singular soliton-type solutions of nlBq by the extended Kudryashov’s algorithm. Additional solutions such as singular periodic solutions also fall out of this integration scheme. Also, one-soliton, two-soliton and three-soliton type solutions are presented using multiple exp-function algorithm. Lastly, Lie symmetry analysis with the new similarity reductions is also examined.

    • Author Affiliations

       

      ABDULLAHI RASHID ADEM1 YAKUP YILDIRIM2 EMRULLAH YASAR2

      1. Material Science Innovation and Modelling Focus Area, School of Mathematical and Statistical Sciences, North-West University, Private Bag X 2046, Mmabatho 2735, South Africa
      2. Department of Mathematics, Faculty of Arts and Sciences, Uludag University, 16059 Bursa, Turkey

    • Dates

       
      Published
      1 February 2019
      Manuscript received
      28 April 2018
      Manuscript revised
      9 June 2018
      Accepted
      12 June 2018
      Early published
      Unedited version published online
      Final version published online
      2 January 2019

  • Pramana – Journal of Physics | News

    • Editorial Note on Continuous Article Publication

      Posted on July 25, 2019

      Click here for Editorial Note on CAP Mode

© 2021-2022 Indian Academy of Sciences, Bengaluru.

Contact | Site index