Residual Power Series Solution of Fractional bi-Hamiltonian Boussinesq System

摘要

In this paper, the residual power series method (RPSM) which is based on the generalized Taylor's series formula has been used to investigate the approximated analytical solution for the fractional bi-Hamiltonian Boussinesq system. The solution of governing equation is calculated in the form of speedily convergent series. Reliability of the method is discussed with some graphical representations, which shows the accuracy and fast convergence of the solution.