Reduction method and new exact solutions of the multidimensional nonlinear heat equation

DOI10.1134/S0012266122020057zbMath1487.35160OpenAlexW4225277262WikidataQ114075331 ScholiaQ114075331MaRDI QIDQ2135102

Edward Ivanovich Semenov, Alexander Arkad'evich Kosov

Publication date: 4 May 2022

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266122020057

zbMATH Keywords

power-law coefficientuse of a special ansatz

Mathematics Subject Classification ID

Solutions to PDEs in closed form (35C05) Quasilinear parabolic equations (35K59)

Cites Work

• Unnamed Item
• On exact multidimensional solutions of a nonlinear system of reaction-diffusion equations
• Multidimensional exact solutions to the reaction-diffusion system with power-law nonlinear terms
• METHODS OF CONSTRUCTING APPROXIMATE SELF-SIMILAR SOLUTIONS OF NONLINEAR HEAT EQUATIONS. I
• EXACT MULTIDIMENSIONAL SOLUTIONS TO SOME NONLINEAR DIFFUSION EQUATIONS
• Separation of Variables and Exact Solutions to Nonlinear PDEs

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