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Symmetry solutions of some nonlinear PDE's

Ahmad, Aijaz (2005) Symmetry solutions of some nonlinear PDE's. Masters thesis, King Fahd University of Petroleum and Minerals.

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English Abstract

Finding solutions of nonlinear partial differential equations, either exact or analytical, is one of the challenging problems in applied mathematics. In particular, the case of higher-order systems of nonlinear partial differential equations poses the most difficult challenge. Lie symmetry method provides a powerful tool for the generation of transformations that can be used to transform the given differential equation to a simpler equation while preserving the invariance of the original equation. Consequently, it enjoys a widespread application and has attracted the attention of many researchers. In this research work a complete classification of a family of nonlinear (1+2)- dimensional wave equations, in which the nonlinearity is introduced through a function representing the wave speed, has been done. All possible symmetries of this wave equation are derived and a set of reductions to ordinary differential equations under two-dimensional sub-algebras is given.



Item Type:Thesis (Masters)
Date:October 2005
Date Type:Completion
Subjects:Math
Divisions:College Of Sciences > Mathematical Science Dept
Creators:Ahmad, Aijaz
Committee Advisor:Bokhari, A. H.
Committee Members:Zaman, Fiazuddin and Furati, Khaled M. and Messaoudi, Salim and Boucherif, Abdulkader
ID Code:10596
Deposited By:KFUPM ePrints Admin
Deposited On:22 Jun 2008 17:08
Last Modified:30 Apr 2011 15:41

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