Note on exact solutions for a class of nonlinear diffusion equations |
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Authors: | OP Layeni |
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Institution: | aDepartment of Mathematics, Obafemi Awolowo University, Ile-Ife 220005, Nigeria |
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Abstract: | An effective characterization is given for a class of generalized nonlinear diffusion equations with power law dependent terms. Further, a new auxiliary equation ansatz is derived. Consequently, new exact traveling wave trigonometric function, solitary-like and Weierstrass elliptic solutions to a subclass are obtained by means of an auxiliary equation method and a generalized Riccati equation expansion method. |
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Keywords: | Nonlinear diffusion equation Power law Auxiliary equation method Generalized Riccati equation expansion method |
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