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Please use this identifier to cite or link to this item: http://hdl.handle.net/2080/1677

Title: Self similar solutions in shallow water equations
Authors: Sekhar, T. Raja
Keywords: Infinitesimal generator
Power-series method
Issue Date: Mar-2012
Citation: International Conference on Fluid Dynamics and Thermodynamics Technologies (FDTT 2012), Singapore, March 17-18, 2012.
Abstract: Infinitesimal transformations: Consider a one-parameter Lie group of transformations x = X(x; ) with identity  = 0 and law of composition . If we expand x = X(x; ) about  = 0 we get x = x + ( @X @ )=0 + 2 2 ( @2X @2 )=0 + · · · x = x + ( @X @ )=0 + O(2) = x + (x) where (x) = ( @X @ )=0. This is called infinitesimal transformation of x = X(x; ) and the components of (x) are called infinitesimals of x = X(x; ).
Description: Copyright belongs to proceeding publisher
URI: http://hdl.handle.net/2080/1677
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