In this work, (3+1)-dimensional Kudryashov-Sinelshchikov equation is investigated by using the sine-cosine method and modification of the truncated expansion method. A variety of exact solutions are obtained.
Many of the traditional ideas that the state, thanks to space satellites, has an “all-seeing eye” to monitor field activities remain relevant to this day. However, along with this, remote sensing of the earth has functions that, according to the authors, should become an integral part of the routine practice of the state bodies of Kazakhstan. Remote sensing should be used not only in matters of monitoring and controlling economic activities, respecting the rule of law, and so on in the territory, but also forecasting and planning its development, assessing resources, opportunities and risks, including the prevention of natural and man-made emergencies, and even identifying social prerequisites tensions.
In this paper, the two-dimensional generalized nonlinear Schrödinger equations are introduced with the Lax pair. The existence of the Lax pair defines integrability for the partial differential equation, so the two-dimensional generalized nonlinear Schrödinger equations are integrable. Related to this development was the understanding that certain coherent structures called solitons play a basic role in nonlinear phenomena as fluid mechanics, nonlinear optics relativity, and lattice dynamics. Via the Hirota bilinear method, bilinear forms of the twodimensional generalized nonlinear Schrödinger equations are obtained. Based on which oneand two-soliton solutions are derived. Furthermore, to find traveling wave solutions the extended tanh method is applied. Through 2D and 3D plots, the dynamical behavior of the obtained solutions is studied. The generalized form of the nonlinear Schrödinger equations has a mathematical and physical interest because a fundamental model in the field of nonlinear science. The used methods are quite useful in the solution of nonlinear partial differential equations.
The aim of the study is to carry out the flood frequency analysis of the Zhabay River Basin in the Akmola region. Powell probability distribution was employed for simulating the future flood discharge scenarios using annual peak flow data (2011–2018) from the gauging station of the Zhabay River. The predicted design floods of various return periods (T) i.e., 2, 2.33, 5, 10, 20, 50, 100, 200, 250, 500 and 1000 were obtained.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.