Optimal distribution substation placement is one of the major components of optimal distribution system planning projects. In this paper optimal substation placement problem is solved using Imperialist Competitive Algorithm (ICA) as a new developed heuristic optimization algorithm. This procedure gives the optimal size, site and installation time of medium voltage substation, using their relate...

A modified F-expansion method to find the exact traveling wave solutions of  two-component nonlinear partial differential equations (NLPDEs) is discussed. We use this method to construct many new solutions to the nonlinear Whitham-Broer-Kaup system (1+1)-dimensional. The solutions obtained include Jacobi elliptic periodic wave solutions which exactly degenerate to the soliton solutions, triangu...

The Klein–Fock–Gordon equation (KFGE), defined as the of relativistic wave related to NLEEs, has numerous implications for energy particle physics and is useful a model several types matter, with deviation in basic stuffs particles crystals. In this work, Sardar subequation method (SSM) used finding solution KFGE. advantage SSM that it provides many different kinds solitons, such dark, bright, ...