Similarity analysis of modified shallow water equations and evolution of weak waves
DSpace at IIT Bombay
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Title |
Similarity analysis of modified shallow water equations and evolution of weak waves
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Creator |
SEKHAR, TR
SHARMA, VD |
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Subject |
Modified shallow water equations
Group theoretic method Exact solution Weak discontinuity LIE GROUP-ANALYSIS GAS SHOCK DISCONTINUITIES |
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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.
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Publisher |
ELSEVIER SCIENCE BV
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Date |
2014-10-15T10:16:14Z
2014-10-15T10:16:14Z 2012 |
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Type |
Article
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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 |
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Language |
en
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