Journal
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
Volume 18, Issue 9, Pages 2359-2366Publisher
ELSEVIER
DOI: 10.1016/j.cnsns.2012.12.023
Keywords
Method of conservation laws; Gasdynamic equations; Singular solutions
Categories
Funding
- Government of Russian Federation [11.G34.31.0042, 220]
- Blekinge Institute of Technology
- Ufa State Aviation Technical University
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In the present paper, the recent method of conservation laws for constructing exact solutions for systems of nonlinear partial differential equations is applied to the gasdynamic equations describing one-dimensional and three-dimensional polytropic flows. In the one-dimensional case singular solutions are constructed in closed forms. In the three-dimensional case several conservation laws are used simultaneously. It is shown that the method of conservation laws leads to particular solutions different from group invariant solutions. (C) 2013 Elsevier B.V. All rights reserved.
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