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Memory effects in Fisher equation with nonlinear convection term
Authors:Ajay Mishra  Ranjit Kumar
Institution:1. Department of Physics and Astrophysics, University of Delhi, Delhi 110007, India;2. Department of Physics, Dyal Singh College, University of Delhi, Delhi 110003, India
Abstract:Memory effect in diffusion–reaction equation plays important role in physical, biological and chemical sciences. An exact solutions of Fisher equation in the presence of nonlinear convection term with finite memory transport is obtained. Solutions of corresponding diffusion–reaction equation without memory effect is also obtained and a comparison is made between obtained solutions. In particular, the solitary wave solutions are found.
Keywords:Fisher equation  Finite memory effect  Auxiliary equation method  Solitary wave solution
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