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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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:	9675
Deposited By:	KFUPM ePrints Admin
Deposited On:	22 Jun 2008 16:46
Last Modified:	25 Apr 2011 09:10

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