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Teoreticheskaya i Matematicheskaya Fizika, 1987, Volume 72, Number 2, Pages 163–171
(Mi tmf5319)
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This article is cited in 7 scientific papers (total 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
Citation:
A. G. Meshkov, B. B. Mikhalyaev, “Equations of gas dynamics admitting an infinite number of symmetries”, TMF, 72:2 (1987), 163–171; Theoret. and Math. Phys., 72:2 (1987), 795–801
Linking options:
https://www.mathnet.ru/eng/tmf5319 https://www.mathnet.ru/eng/tmf/v72/i2/p163
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