Abstract:
In this thesis, G0=G2-expansion Method was implemented in solving nonlinear partial differential equation of (1+1)-dimensional
Ito equation(mathematical finance equaton) and (1+1)-dimensional
combined Kdv and Mkdv equation. The G0=G2-expansion method
was applied based on two different methods, namely (G0=G) and
(1=G)-expansion methods. These two different methods are applied on (1+1)-dimensional Ito equation and (1+1)-dimensional
combined Kdv and Mkdv equation solved for three different cases
Posative, Negative and zero and the exact solution of Nonlinear partial differential equation of (1+1)-dimensional Ito equation
and (1+1)-dimensional combined Kdv and Mkdv equation is obtained. From the obtained results two of them were illustrated by
graphical plots. Further, the obtained results are fits with solutions
which solves the complicity of finding the solutions for NLPDEs.
Finally the method is best and effective method to solve NLPDEs
