This article is cited in 7 papers

Equations of gas dynamics admitting an infinite number of symmetries

A. G. Meshkov, B. B. Mikhalyaev


Abstract: All the equations of state are found for which the one-dimensional gas dynamic equations possess an infinite Lie–Backlund algebra. In all these cases the gas dynamics equations are either explicitely integrable or can be presented in the Lax form. A method for constructing an infinite set of conservation laws is given.

Received: 24.03.1986

 English version: Theoretical and Mathematical Physics, 1987, 72:2, 795–801

Bibliographic databases:

• 
• 
•