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Exact solutions of gasdynamic equations obtained by the method of conservation laws
Blekinge Institute of Technology, School of Engineering, Department of Mathematics and Natural Sciences.
Blekinge Institute of Technology, School of Engineering, Department of Mathematics and Natural Sciences.
2013 (English)In: Communications in nonlinear science & numerical simulation, ISSN 1007-5704, Vol. 18Article in journal (Refereed) Published
Abstract [en]

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 threedimensional 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.

Place, publisher, year, edition, pages
Elsevier B.V. , 2013. Vol. 18
Keyword [en]
Method of conservation laws, Gasdynamic equations, Singular solutions
National Category
Mathematics Mathematical Analysis
Identifiers
URN: urn:nbn:se:bth-6992DOI: 10.1016/j.cnsns.2012.12.023ISI: 000317411800009Local ID: oai:bth.se:forskinfoC95BF2A8B691EFB5C1257B6B00447ECCOAI: oai:DiVA.org:bth-6992DiVA: diva2:834555
Available from: 2013-05-20 Created: 2013-05-14 Last updated: 2015-09-24Bibliographically approved

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Ibragimov, Nail H.Khamitova, Raisa
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