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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pram/078/01/0059-0090

    • Keywords

       

      Solitons; integrability; $G'/G$ method; variational iteration method; homotopy perturbation method.

    • Abstract

       

      The Schrödinger–KdV equation with power-law nonlinearity is studied in this paper. The solitary wave ansatz method is used to carry out the integration of the equation and obtain one-soliton solution. The $G'/G$ method is also used to integrate this equation. Subsequently, the variational iteration method and homotopy perturbation method are also applied to solve this equation. The numerical simulations are also given.

    • Author Affiliations

       

      Manel Labidi1 Ghodrat Ebadi2 Essaid Zerrad3 Anjan Biswas4

      1. Laboratory of Engineering Mathematics, Tunisia Polytechnic School, University of Carthage, BP 743, La Marsa 2070, Tunisia
      2. Faculty of Mathematical Sciences, University of Tabriz, Tabriz, 51666-14766, Iran
      3. Department of Physics and Pre-Engineering, Delaware State University, Dover, DE 19901-2277, USA
      4. Department of Mathematical Sciences, Delaware State University, Dover, DE 19901-2277, USA

    • Dates

       
      Published
      January 2012
      Manuscript received
      19 April 2011
      Manuscript revised
      31 May 2011
      Accepted
      28 June 2011

  • Pramana – Journal of Physics | News

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