A.A. AKHUNDOV, E.M. AKHUNDOVA.
THE EQUATIONS OF HEAT CONDUCTIVITY FOR POLYTROPHIC GAS AND SOME RESULTS OF ITS CONTINUOUS GROUP ANALYSIS (PART I)
In this article for ideal polytrophic the gas participating in one-dimensional thermodynamic process, the elementary conclusion of the nonlinear equation of heat conductivity is described. Earlier same equation has been received by the first of authors more difficult by. New exact solutions of this equation are received.
Keywords: density, equation of heat conductivity, symmetry group, invariant, algebra Lie, sub algebra, optimal system of sub algebras, exact solutions
THE EQUATIONS OF HEAT CONDUCTIVITY FOR POLYTROPHIC GAS AND SOME RESULTS OF ITS CONTINUOUS GROUP ANALYSIS (PART I)
In this article for ideal polytrophic the gas participating in one-dimensional thermodynamic process, the elementary conclusion of the nonlinear equation of heat conductivity is described. Earlier same equation has been received by the first of authors more difficult by. New exact solutions of this equation are received.
Keywords: density, equation of heat conductivity, symmetry group, invariant, algebra Lie, sub algebra, optimal system of sub algebras, exact solutions