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Evolution of weak discontinuities in shallow water equations

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Field Value
 
Title Evolution of weak discontinuities in shallow water equations
 
Creator SEKHAR, TR
SHARMA, VD
 
Subject lie group-analysis
substitution principles
gases
shallow water equations
group theoretic method
exact solution
weak discontinuity
 
Description In 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 system. (C) 2009
 
Publisher PERGAMON-ELSEVIER SCIENCE LTD
 
Date 2011-08-24T08:12:45Z
2011-12-26T12:56:48Z
2011-12-27T05:46:04Z
2011-08-24T08:12:45Z
2011-12-26T12:56:48Z
2011-12-27T05:46:04Z
2010
 
Type Article
 
Identifier APPLIED MATHEMATICS LETTERS, 23(3), 327-330
0893-9659
http://dx.doi.org/10.1016/j.aml.2009.10.003
http://dspace.library.iitb.ac.in/xmlui/handle/10054/10814
http://hdl.handle.net/10054/10814
 
Language en