Regular Partially Invariant Submodels of Gas Dynamics Equations
作者:
L.V. Ovsyannikov,
A.P. Chupakhin,
期刊:
Journal of Nonlinear Mathematical Physics
(Taylor Available online 1995)
卷期:
Volume 2,
issue 3-4
页码: 236-246
ISSN:1402-9251
年代: 1995
DOI:10.2991/jnmp.1995.2.3-4.3
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
The Program SUBMODELS [1] is aimed to exhaust all possibilities derived from the symmetry of differential equations for construction of submodels (i.e., systems of equations of the reduced dimension) which describe classes of exact solutions for initial equations. In the frame of this Program, our paper communicates the description of all (up to similarity) regular submodels for the system of Gas Dynamics with the general state equation. Submodels are classified by their types (σ, δ), whereσis a rank andδis a defect. Regularity of a submodel means that invariant independent variables are functions of initial independent variables only. The classification tables, comments to them, and some characteristic examples are presented.
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