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Method of conservation laws for constructing solutions to systems of PDEs
Blekinge Tekniska Högskola, Sektionen för ingenjörsvetenskap, Avdelningen för matematik och naturvetenskap.
2012 (engelsk)Inngår i: Discontinuity, Nonlinearity, and Complexity, ISSN 2164−6376, Vol. 1, nr 4Artikkel i tidsskrift (Fagfellevurdert) Published
Abstract [en]

In the present paper, a new method is proposed for constructing exact solutions for systems of nonlinear partial differential equations. It is called the method of conservation laws. Application of the method to the Chaplygin gas allowed to construct new solutions containing several arbitrary parameters. It is shown that these solutions cannot be obtained, in general, as group invariant solutions.

sted, utgiver, år, opplag, sider
L&H Scientific Publishing , 2012. Vol. 1, nr 4
Emneord [en]
Method of conservation laws, Nonlinear PDEs, Symmetries, Exact solutions
HSV kategori
Identifikatorer
URN: urn:nbn:se:bth-6976DOI: 10.5890/DNC.2012.09.002Lokal ID: oai:bth.se:forskinfoA93CAEF1D30604ADC1257B79003C3366OAI: oai:DiVA.org:bth-6976DiVA, id: diva2:834539
Tilgjengelig fra: 2013-05-30 Laget: 2013-05-28 Sist oppdatert: 2016-09-08bibliografisk kontrollert

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