Abstract:
In this dissertation, a systematic approach is used to find an approximate solution of a system of nonlinear PDEs. The system of nonlinear PDEs is reduced into a system of ODEs by using similarity transformations, which are solved numerically. We approximated numerical solutions by suitable functions. These simialrity transformations are again used to obtain approximate solution in the form of functions for the sytem of nonlinear PDEs. Residues for the system of ODEs and PDEs are calculated in accordance with the approximate solutions. Then, Lie symmetry method is used to find new transformations for the system of nonlinear PDEs.
