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المستخلص
Group method is considered one of the important analytical methods for overcoming the difficulties, which arise in solving nonlinear ordinary or partial differential equations. This thesis is focused on the application of Lie-group method to the dynamical systems, especially fluid dynamics problems.
Application of Lie-group method reduces the system of governing partial differential equations with the auxiliary conditions to a system of ordinary differential equations with the appropriate corresponding conditions. The reduced system can be solved analytically or numerically.