New Exact Solutions of the Diffusion Equation with Power Nonlinearity
We consider the multidimensional nonlinear diffusion equation with a power coefficient. Using some multidimensional quadratic ansatz, we seek for generalized automodel solutions and find new exact solutions in elementary and special functions in case of various exponents. We distinguish the events t...
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Published in | Siberian mathematical journal Vol. 63; no. 6; pp. 1102 - 1116 |
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Main Authors | , |
Format | Journal Article |
Language | English |
Published |
Moscow
Pleiades Publishing
2022
Springer Nature B.V |
Subjects | |
Online Access | Get full text |
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Summary: | We consider the multidimensional nonlinear diffusion equation with a power coefficient. Using some multidimensional quadratic ansatz, we seek for generalized automodel solutions and find new exact solutions in elementary and special functions in case of various exponents. We distinguish the events that the solutions are radially symmetric or spatially anisotropic and exhibit a series of examples demonstrating the novelty of the solutions. |
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ISSN: | 0037-4466 1573-9260 |
DOI: | 10.1134/S0037446622060106 |