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dc.contributor.authorRaja Sekhar, T-
dc.identifier.citationInternational Congress of Mathematicians (ICM)-2010, Satellite-Conference on, " INTEGRABLE SYSTEMS AND GEOMETRY" during August 12-17, 2010 held at Department of Mathematics, Pondicherry University, Puducherry.en
dc.descriptionCopyright belongs to the Proceeding of Publisheren
dc.description.abstractIn this paper, we obtain exact solutions to the nonlinear system of partial dierential equations (PDEs), describing the one dimensional modied shallow water equations,using invariance group properties of the governing system. Lie group of point symmetries with commuting innitesimal operators, are presented. The symmetry generators are used for constructing similarity variables which lead the governing system of PDEs to system of ordinary dierential equations (ODEs); in some cases,it is possible to solve these equations exactly. A particular solution to the governing system, which exhibits space- time dependence, is used to study the evolutionary behaviour of weak discontinuities.en
dc.format.extent49175 bytes-
dc.publisherICM -2010en
dc.subjectShallow wateren
dc.subjectWeak wavesen
dc.titleSimilarity analysis of modied shallow water equations and evolution of weak wavesen
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