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dc.contributor.authorRaja Sekhar, T-
dc.contributor.authorSharma, V D-
dc.identifier.citationApplied Mathematics Lettersen
dc.description.abstractIn 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 systemen
dc.format.extent177774 bytes-
dc.subjectShallow water equations;en
dc.subjectGroup theoretic method;en
dc.subjectExact solution;en
dc.subjectWeak discontinuityen
dc.titleEvolution of Weak Discontinuities in Shallow Water Equationsen
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