Exact solutions of the nonlinear diffusion equation

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

zbMATH Keywords

nonlinear heat equationJacobi elliptic functionsAbel equationLambert \(W\)-functionmultidimensional nonlinear diffusion equationradially symmetric exact solutions

Mathematics Subject Classification ID

Solutions to PDEs in closed form (35C05) Self-similar solutions to PDEs (35C06) Quasilinear parabolic equations (35K59)

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Effects of Anisotropy in Tridimensional Diffusion: Flow Patterns and Transport Efficiency, New exact solutions of the diffusion equation with power nonlinearity, On a nonlinear second-order ordinary differential equation, Approximate and exact solutions to the singular nonlinear heat equation with a common type of nonlinearity, On exact solutions to a heat wave propagation boundary-value problem for a nonlinear heat equation

Cites Work

• On the connection of the quadratic Liénard equation with an equation for the elliptic functions
• New exact solutions to the one-dimensional nonlinear diffusion equation
• On new exact solutions of the one-dimensional nonlinear diffusion equation with a source (sink)
• Non-self-similar solutions of multidimensional nonlinear diffusion equations
• Blow-up in quasilinear parabolic equations. Transl. from the Russian by Michael Grinfeld
• Superposition principle and exact solutions of a nonlinear diffusion equation
• Characteristic roots and stability domains of a dynamical system with delay
• New exact solutions of parabolic equations with quadratic non-linearities
• 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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