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    • On the exact solutions of nonlinear diffusion-reaction equations with quadratic and cubic nonlinearities

      R S Kaushal Ranjit Kumar Awadhesh Prasad

      Research Articles Volume 67 Issue 2 August 2006 pp 249-256

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      https://www.ias.ac.in/article/fulltext/pram/067/02/0249-0256

    • Keywords

       

      Soliton; elliptic functions; diffusion equations; integrable systems; partial differential equations

    • Abstract

       

      Attempts have been made to look for the soliton content in the solutions of the recently studied nonlinear diffusion-reaction equations [R S Kaushal, J. Phys.38, 3897 (2005)] involving quadratic or cubic nonlinearities in addition to the convective flux term which renders the system nonconservative and the corresponding Hamiltonian non-Hermitian.

    • Author Affiliations

       

      R S Kaushal1 Ranjit Kumar2 Awadhesh Prasad2

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

    • Dates

       
      Published
      August 2006
      Manuscript received
      23 March 2006
      Accepted
      23 June 2006

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