Lie Algebra of Infinitesimal Generators of the Symmetry Group of the Heat Equation

Autor:	Narmanov Otabek Abdigapparovich
Rok vydání:	2018
Předmět:	Pure mathematics Differential equation Infinitesimal 010102 general mathematics Lie group Symmetry group 01 natural sciences Symmetry (physics) 010305 fluids & plasmas 0103 physical sciences Lie algebra Heat equation 0101 mathematics Mathematics
Zdroj:	Journal of Applied Mathematics and Physics. :373-381
ISSN:	2327-4379 2327-4352
DOI:	10.4236/jamp.2018.62035
Popis:	Last time symmetry methods have been recognized to be of great importance for the study of the differential equations arising in mathematics and physics. The purpose of this paper is to provide some application of Lie groups to heat equation. In this example, we determine Lie algebra of infinitesimal generators of symmetry group of heat equation and construct group-invariant solutions of this equation. The some computational methods are presented so that researchers in other fields can readily learn to use them.
Databáze:	OpenAIRE
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