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On new exact solutions of the one-dimensional nonlinear diffusion equation with a source (sink)

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Publication:1571176
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zbMath0957.35031MaRDI QIDQ1571176

Gennandij Alekseevich Rudykh, Edward Ivanovich Semenov

Publication date: 16 March 2001

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)


zbMATH Keywords

nonnegative solutionsconstruction


Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Solutions to PDEs in closed form (35C05)


Related Items (8)

First integrals and exact solutions of a system of ordinary differential equations with power nonlinearity ⋮ New exact solutions of the diffusion equation with power nonlinearity ⋮ Exact solutions of the nonlinear diffusion equation ⋮ Exact solutions of the generalized Richards equation with power-law nonlinearities ⋮ The Lambert function and exact solutions of nonlinear parabolic equations ⋮ Non-self-similar solutions of multidimensional nonlinear diffusion equations ⋮ Exact solutions with generalized separation of variables in the nonlinear heat equation ⋮ Existence and construction of anisotropic solutions to the multidimensional equation of nonlinear diffusion. I






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