Invariant solutions of the two-dimensional heat equation

DOI10.20537/vm190105zbMath1442.35454OpenAlexW2947346921WikidataQ127758848 ScholiaQ127758848MaRDI QIDQ5114303

Otabek Abdigapparovich Narmanov

Publication date: 22 June 2020

Published in: Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/vuu665

zbMATH Keywords

heat equationvector fieldsymmetry groupinfinitesimal generator

Mathematics Subject Classification ID

Heat equation (35K05) PDEs in connection with classical thermodynamics and heat transfer (35Q79) Diffusive and convective heat and mass transfer, heat flow (80A19)

Related Items (1)

The Geometry of Vector Fields and Two Dimensional Heat Equation

Cites Work

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• Second-order systems of ODEs admitting three-dimensional Lie algebras and integrability
• Reduction of Order for Systems of Ordinary Differential Equations
• Integrability of systems of two second-order ordinary differential equations admitting four-dimensional Lie algebras
• Integration of systems of ordinary differential equations with a small parameter which admit approximate Lie algebras

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