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On the exact solutions of nonlinear diffusion-reaction equations with quadratic and cubic nonlinearities
Authors:R S Kaushal  Ranjit Kumar  Awadhesh Prasad
Institution:(1) Department of Physics, Ramjas College, University of Delhi, 110 007 Delhi, India;(2) Department of Physics and Astrophysics, University of Delhi, 110 007 Delhi, India
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.
Keywords:Soliton  elliptic functions  diffusion equations  integrable systems  partial differential equations
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