This paper considers the non-linear Kudryashov's equation, that is an extension of well-known dual-power law refractive index and analog to generalized version anti-cubic non-linearity. The model considered in presence full main objective this extract soliton solutions proposed model. Three state-of-the-art integration schemes, namely modified auxiliary equation method, sine-Gordon expansion me...

In this study, we investigate some new analytical solutions to the (1 + 1)-dimensional nonlinear Dispersive Modified Benjamin–Bona–Mahony equation and the (2 + 1)-dimensional cubic Klein–Gordon equation by using the generalized Kudryashov method. After we submitted the general properties of the generalized Kudryashov method in Section 2, we applied this method to these problems to obtain some n...

The article considered the ecological index of water quality, which is used for planning protection activities, developing measures, carrying out and economic zoning, mapping; pollution index, determined by hydrochemical indicators; modified Horton quality models; Water Quality Index proposed Canadian Council Ministers Environment; Said to assess general use; in river subbasin a certain year; N...