Exact solutions of gasdynamic equations obtained by the method of conservation laws |
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| Authors: | Elena D Avdonina Nail H Ibragimov Raisa Khamitova |
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| Institution: | 1. Laboratory “Group Analysis of Mathematical Models in Natural and Engineering Sciences”, Ufa State Aviation Technical University, 450 000 Ufa, Russia;2. Department of Mathematics and Science, Blekinge Institute of Technology, SE-371 79 Karlskrona, Sweden |
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| Abstract: | 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. |
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