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    • 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



      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

  • Pramana – Journal of Physics | News

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      Posted on July 25, 2019

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