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    • Solitary wave solutions of selective nonlinear diffusion-reaction equations using homogeneous balance method

      Ranjit Kumar R S Kaushal Awadhesh Prasad

      Research Articles Volume 75 Issue 4 October 2010 pp 607-616

    • Fulltext

       

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pram/075/04/0607-0616

    • Keywords

       

      Nonlinear diffusion-reaction equation; homogeneous balance method; Bäcklund transformation; solitary wave solutions.

    • Abstract

       

      An auto-Bäcklund transformation derived in the homogeneous balance method is employed to obtain several new exact solutions of certain kinds of nonlinear diffusion-reaction (D-R) equations. These equations arise in a variety of problems in physical, chemical, biological, social and ecological sciences.

    • Author Affiliations

       

      Ranjit Kumar1 R S Kaushal1 2 Awadhesh Prasad1

      1. Department of Physics and Astrophysics, University of Delhi, Delhi 110 007, India
      2. Department of Physics, Ramjas College, University of Delhi, Delhi 110 007, India

    • Dates

       
      Published
      October 2010
      Manuscript received
      11 September 2009
      Manuscript revised
      7 April 2010
      Accepted
      8 June 2010

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