Painlevé analysis of a coupled Burgers-heat equation system, and non- classical similarity solutions of the heat equation

DOI10.1016/0167-2789(90)90123-7zbMath0696.35176OpenAlexW1967943375MaRDI QIDQ910614

N. E. Zubov

Publication date: 1990

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(90)90123-7

zbMATH Keywords

similarity solutionsBäcklund transformationPainlevé analysiscoupled Burgers-heat equation

Mathematics Subject Classification ID

Heat equation (35K05) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items

Symmetry reductions and exact solutions of a class of nonlinear heat equations ⋮ The nonclassical group analysis of the heat equation ⋮ Nonclassical symmetry reductions of the Boussinesq equation

Cites Work

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• Similarity methods for differential equations
• The sine-Gordon equations: Complete and partial integrability
• The Painlevé property for partial differential equations
• Prolongation structures of nonlinear evolution equations
• Geometric Approach to Invariance Groups and Solution of Partial Differential Systems