Special Session 20: Lie Symmetries, Conservation Laws, and Other Approaches in Solving Nonlinear Differential Equations
The Invariance, Conserwation Laws and Integeration of Differential Equations
Ali Raza
Stellenbosch University So Africa
Co-Author(s): Sibusiso Moyo, F.M. Mahomed, F.D. Zaman, A.H. Kara
Abstract:
In this talk, we begin with symmetry classification for a class of nonlinear PDEs using the Lie symmetry method and discuss the fundamental simplifications of variables that arise from the Lie invariance criterion. Following this, we discuss the construction of the optimal system of subalgebras to identify unique group-invariant solutions via reductions under optimal system.