Soliton-like solutions of certain types of nonlinear diffusion-reaction equations with variable coefficient |
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Authors: | Ranjit Kumar Awadhesh Prasad |
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Affiliation: | a Department of Physics and Astrophysics, University of Delhi, Delhi 110007, India b Department of Physics, Ramjas College, University of Delhi, Delhi 110007, India |
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Abstract: | With a view to exploring new soliton-like solutions of certain types of nonlinear diffusion-reaction (DR) equations with a variable coefficient, we demonstrate the viability of a method which is the combination of both the symbolic computation technique of Gao and Tian [Y.T. Gao, B. Tian, Comput. Phys. Commun. 133 (2001) 158] and auxiliary equation method of Sirendaoreji [Sirendaoreji, Phys. Lett. A 356 (2006) 124] and used recently for the KdV equation. In particular, the DR equations with quadratic and cubic nonlinearities with a time-dependent velocity in the convective flux term are studied and the existence of soliton-like solutions is shown. |
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Keywords: | 05.45.Yv 02.30.Ik 02.30.Jr |
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