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Similarity analysis of modified shallow water equations and evolution of weak waves

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Title Similarity analysis of modified shallow water equations and evolution of weak waves
 
Creator SEKHAR, TR
SHARMA, VD
 
Subject Modified shallow water equations
Group theoretic method
Exact solution
Weak discontinuity
LIE GROUP-ANALYSIS
GAS
SHOCK
DISCONTINUITIES
 
Description In this paper, we obtain exact solutions to the nonlinear system of partial differential equations (PDEs), describing the one dimensional modified shallow water equations, using invariance group properties of the governing system. Lie group of point symmetries with commuting infinitesimal operators, are presented. The symmetry generators are used for constructing similarity variables which lead the governing system of PDEs to system of ordinary differential 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 behavior of weak discontinuities. (C) 2011 Elsevier B.V. All rights reserved.
 
Publisher ELSEVIER SCIENCE BV
 
Date 2014-10-15T10:16:14Z
2014-10-15T10:16:14Z
2012
 
Type Article
 
Identifier COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 17(2)630-636
http://dx.doi.org/10.1016/j.cnsns.2011.06.011
http://dspace.library.iitb.ac.in/jspui/handle/100/14722
 
Language en