Ahmad, Aijaz (2005) Symmetry solutions of some nonlinear PDE's. Masters thesis, King Fahd University of Petroleum and Minerals.
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)|
|Divisions:||College Of Sciences > Mathematical Science Dept|
|Committee Advisor:||Bokhari, A. H.|
|Committee Members:||Zaman, Fiazuddin and Furati, Khaled M. and Messaoudi, Salim and Boucherif, Abdulkader|
|Deposited By:||KFUPM ePrints Admin|
|Deposited On:||22 Jun 2008 16:46|
|Last Modified:||25 Apr 2011 09:10|
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