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|Title:||Similarity analysis of modied shallow water equations and evolution of weak waves|
|Authors:||Raja Sekhar, T|
|Citation:||International 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.|
|Abstract:||In 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.|
|Description:||Copyright belongs to the Proceeding of Publisher|
|Appears in Collections:||Conference Papers|
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