1. Home
    2. Journals
    3. Pramana – Journal of Physics
    4. Volume 94
    5. All articles

    • Fulltext

       

        Click here to view fulltext PDF


      Permanent link:
      https://www.ias.ac.in/article/fulltext/pram/094/0039

    • Keywords

       

      Bäcklund transformation method; Kudryashov method; new auxiliary ordinary differential equation; Lakshmanan–Porsezian–Daniel equation; Kerr nonlinearity; exact solutions

    • Abstract

       

      This paper examines new travelling wave solutions to the Lakshmanan–Porsezian–Daniel (LPD) model with Kerr nonlinearity using Bäcklund transformation method based on Riccati equation, Kudryashov method and a new auxiliary ordinary differential equation (ODE). The three methods are adequately utilised, and some new rational-type hyperbolic and trigonometric function solutions are derived in different shapes for the aforementioned model. We confirm that our methods are more efficient than the other methods and it might be used in many other such types of nonlinear equations arising in the basic fabric of communications network technology and nonlinearoptics.

    • Author Affiliations

       

      HADI REZAZADEH1 DIPANKAR KUMAR2 3 AHMAD NEIRAMEH4 MOSTAFA ESLAMI5 MOHAMMAD MIRZAZADEH6

      1. Faculty of Modern Technologies Engineering, Amol University of Special Modern Technologies, Amol, Iran
      2. Graduate School of Systems and Information Engineering, University of Tsukuba, Tennodai 1-1-1, Tsukuba, Ibaraki, Japan
      3. Department of Mathematics, Bangabandhu Sheikh Mujibur Rahman Science and Technology University, Gopalganj 8100, Bangladesh
      4. Department of Mathematics, Faculty of Sciences, Gonbad Kavous University, Gonbad, Iran
      5. Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran
      6. Department of Engineering Sciences, Faculty of Technology and Engineering, East of Guilan, University of Guilan, Rudsar-Vajargah, Iran

    • Dates

       
      Published
      10 February 2020
      Manuscript received
      28 June 2018
      Manuscript revised
      19 September 2019
      Accepted
      25 September 2019
      Early published
      Unedited version published online
      Final version published online
      7 February 2020

  • 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