Abstract:
Nonlinear partial differential equations are important in real physical world.
However, finding the solutions of nonlinear Rosenau Hyman equations are full
of complex. The main purpose of multiple scala perturbation method is to simplify
the complexity of solvin Rosenau Hyman equation. Among those, this
thesis was Solution of Rosenau-Hyman Equation by using Multiple Scale perturbation
Method is considered.The Multiple Scale perturbation Method was
successfully implemented in solving the stated equations. To find the solutions
of proposed equation we implemented in the sense of multiple scale perturbation
method. The obtained solutions were Analyzed using mathematica 12
soft ware in analytically. Illustrative examples were given to demonstrate the
validity and applicability of the method.In each examples we have given some
comparison and the obtained results reveal the given method bring good approximation.
Among them, we have considered the Solutions for Rosenau - Hyman
equations by using Multiple Scale Perturbation Method. Furthermore, we considered
different parameters to investigate the nature of solutions in graphical
manner. Finally, the proposed method is a standard, effective and easily computable
for solving the Rosenau Hyman equations
