The modified simplest equation method is an efficient method for obtaining exact solutions of some nonlinear partial differential equations. In the present work, the modified simplest equation method is used to construct exact solutions of the differential equations. In the present work, the modified simplest equation method is used to construct exact solutions of the Zakharov equations and the coupled Klein-Gordon-Zakharov equations . It also shown that the proposed method is effective and general.

Cloud computing has been a champion in Information Technology (IT) world for supporting flexibility on-demand services. It is leveraged to instantly fulfill dynamic demands from heterogeneous environment. However, the massive demand for the Cloud computing services contributed to high energy consumption, thus affecting cost of service and processing components lifetime. Quite a portion of the energy consumed is dissipated for ensuring processing components (i.e., processor) running but idle. An effective task scheduling is the solution for better processing performance while reducing energy consumption. In this paper we compared several energy efficient scheduling from three (3) different perspectives (i.e., heuristic, economic and intelligent points of view). These different perspectives are chosen particularly for exemplifying essential principles and features of energy management in task scheduling. Novel knowledge on the energy management are identified through similarities, differences and energy models. We believed that better trade-off between energy consumption and system performance is the solution to green Cloud computing.

In this paper, an effective operational method will beused to determine the numerical solution of a specific Nonlinear Fractional Volterra-Fredholm integro-differential (NFVFID) equation. The method is based on CAS wavelets and Block Pulse Functions (BPFs) and their operational matrices. The main characteristic of this approach is to reduce a NFVFID equation to asystem of algebraic equations, which greatly simplifies the problem. Also some numerical examples are provided to illustratethe accuracy and computational efficiency of the method.