The combined and double combined sinh-cosh-Gordon equations are very important to a wide range of various scientific applications that ranges from chemical reactions to water surface gravity waves. In this article, with the assistance of a function transform and Painlevè property, the nonlinear combined and double combined sinh-cosh-Gordon equations turn into ordinary differential equations. Later on, modified Kudryashov method is adopted for investigating new analytical solution of the studied equations. As a consequence, a series of new analytical solutions are acquired and we demonstrated the actual behavior of the achieved solutions of the mentioned equations with the aid of 3D and 2D MATLAB graphs. Finally, we also validate the effectiveness of the modified Kudryashov method for the problem of extracting new exact solutions of the combined and double combined sinh-cosh-Gordon equations with the aid of Maple package program. It is shown that the implemented method is capable to extract new solutions and it can also use to other nonlinear partial differential equation (NLPDE's) arising in mathematical physics or other applied field.

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Photovoltaic (PV) inverters bear a part and parcel role due to cost and power efficiency where it can be used either in Transformer based system or Transformer-less system. Both system even though the renewable energy which is fully Environmental friendly, however some limitations such as bulky system, maintenance cost increasing indicate for avoiding the Transformer based inverter.  In contrast, Transformer -less inverter topology is recovering the TRX based issue and to reduce the overall system cost size with high efficiency. In this paper, Transformer -based inverters have been discussed as well as Transformer –less (TRX) inverter topologies and main focusing part is the cost analysis of TRX inverter topology to grid connection and the different marking process of PV-TRX Inverter Topology to Grid Connection has been shown as well as comparison will be shown with Bangladesh.

The exact solutions of nonlinear evolution equations (NLEEs) play a vital role to reveal the central mechanism of complex physical phe-nomenon. More precisely, in this paper, we acquired new exact solutions to the (2+1)-dimensional cubic Klein–Gordon (cKG) and (3+1)-dimensional Zakharov–Kuznetsov (ZK) equations by using the modified Kudraysov method. As results, a portion of the new accurate voyaging wave answers for the situations above is officially delivered. All arrangements are plotted in the perspective on three-dimensional (3D) and two-dimensional (2D) line shape through the MATLAB programming for exploring the genuine meaning of the concentrated on conditions. The periodic type of solution is created using a modified Kudryashov approach, which is distinct from the other methods investigated. Â