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http://hdl.handle.net/2080/1677
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| 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
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| File |
Description |
Size | Format |
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| Rajappt.pdf | | 119Kb | Adobe PDF | View/Open |
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