Soliton Solutions for Time Fractional Hamiltonian System

Abstract

In this paper, soliton solutions of a fractional partial differential equations using modified extended tanh method with Riccati equation have been proposed. This method is applied to obtain solitary wave solution for the nonlinear time fractional Hamiltonian system. The system is converted into a system of ordinary differential equations using fractional complex transforms and the properties of modified Riemann-Liouville derivative. The proposed technique is concise and easily applicable for solving wide types of time-fractional partial differential equations.