SOME INTEGRABILITY CASES FOR SELF-SIMILAR GAS-DYNAMIC EQUATIONS

O.I. Morozov
VANT. Ser.: Mat. Mod. Fiz. Proc 1996. Вып.1-2. С. 75-83.

      The study is performed for the integrability of self-smular Lagrangian equations for 1-D dynamics of polytropic gas. These equations are reduced to Abelian equations for which the studies are performed for reducibility to linear equations, split-variable equations as well as the cases of existence for linear solutions. This allows to find new analytical solutions for gas-dynamic equations.