Exact solutions of the nonlinear diffusion equation
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Publication:2002486
DOI10.1134/S0037446619010117zbMath1416.35063OpenAlexW2937071557MaRDI QIDQ2002486
Alexander Arkad'evich Kosov, Edward Ivanovich Semenov
Publication date: 12 July 2019
Published in: Siberian Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s0037446619010117
nonlinear heat equationJacobi elliptic functionsAbel equationLambert \(W\)-functionmultidimensional nonlinear diffusion equationradially symmetric exact solutions
Solutions to PDEs in closed form (35C05) Self-similar solutions to PDEs (35C06) Quasilinear parabolic equations (35K59)
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Cites Work
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- On new exact solutions of the one-dimensional nonlinear diffusion equation with a source (sink)
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- On the remarkable nonlinear diffusion equation (∂/∂x)[a (u+b)−2(∂u/∂x)−(∂u/∂t)=0]
- EXACT MULTIDIMENSIONAL SOLUTIONS TO SOME NONLINEAR DIFFUSION EQUATIONS
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