Evolution of Weak Discontinuities in Shallow Water Equations

Please use this identifier to cite or link to this item: http://hdl.handle.net/2080/1067

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DC Field	Value	Language
dc.contributor.author	Raja Sekhar, T	-
dc.contributor.author	Sharma, V D	-
dc.date.accessioned	2009-11-19T03:23:27Z	-
dc.date.available	2009-11-19T03:23:27Z	-
dc.date.issued	2009	-
dc.identifier.citation	Applied Mathematics Letters	en
dc.identifier.uri	http://dx.doi.org/10.1016/j.aml.2009.10.003	-
dc.identifier.uri	http://hdl.handle.net/2080/1067	-
dc.description.abstract	In this paper, we determine the critical time, when a weak discontinuity in the shallow water equations culminates into a bore. Invariance group properties of the governing system of partial differential equations (PDEs), admitting Lie group of point transformations with commuting infinitesimal operators, are presented. Some appropriate canonical variables are characterized that transform equations at hand to an equivalent form, which admits non-constant solutions. The propagation of weak discontinuities is studied in the medium characterized by the particular solution of the governing system	en
dc.format.extent	177774 bytes	-
dc.format.mimetype	application/pdf	-
dc.language.iso	en	-
dc.publisher	Elsevier	en
dc.subject	Shallow water equations;	en
dc.subject	Group theoretic method;	en
dc.subject	Exact solution;	en
dc.subject	Weak discontinuity	en
dc.title	Evolution of Weak Discontinuities in Shallow Water Equations	en
dc.type	Article	en
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