A.A. AKHUNDOV, E.M. AKHUNDOVA
EQUATIONS OF HEAT CONDUCTIVITY FOR POLYTROPHIC GAS AND SOME RESULTS OF ITS CONTINUOUS GROUP ANALYSIS (PART III)


This article concludes our series of three articles devoted to the analysis of the new group of the heat equation, derived in part I ofwork on the basis of known thermodynamic considerations. The third and final part of the work is qualitatively different from the previous parts in the fact that the test equation here admits an infinite-dimensional Lie algebra. Invariant solutions are established.

Keywords:
equation of heat conductivity, sub algebra, exact solutions, invariant
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