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

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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.

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Authors and Affiliations

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

    Ranjit Kumar, R. S. Kaushal & Awadhesh Prasad

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

    R. S. Kaushal

Authors
  1. Ranjit Kumar
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  2. R. S. Kaushal
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  3. Awadhesh Prasad
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Correspondence to Awadhesh Prasad.

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Kumar, R., Kaushal, R.S. & Prasad, A. Solitary wave solutions of selective nonlinear diffusion-reaction equations using homogeneous balance method. Pramana - J Phys 75, 607–616 (2010). https://doi.org/10.1007/s12043-010-0142-4

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  • DOI: https://doi.org/10.1007/s12043-010-0142-4

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