Method of conservation laws for constructing solutions to systems of PDEs
2012 (English)In: Discontinuity, Nonlinearity, and Complexity, ISSN 2164−6376, Vol. 1, no 4Article in journal (Refereed) Published
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.
Place, publisher, year, edition, pages
L&H Scientific Publishing , 2012. Vol. 1, no 4
Method of conservation laws, Nonlinear PDEs, Symmetries, Exact solutions
Mathematics Mathematical Analysis
IdentifiersURN: urn:nbn:se:bth-6976DOI: 10.5890/DNC.2012.09.002Local ID: oai:bth.se:forskinfoA93CAEF1D30604ADC1257B79003C3366OAI: oai:DiVA.org:bth-6976DiVA: diva2:834539