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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 |
Appears in Collections: | Conference Papers |
Files in This Item:
File | Description | Size | Format | |
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Rajappt.pdf | 119.08 kB | Adobe PDF | View/Open |
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