Ashraf, FarrahSeadawy, Aly R.Rizvi, Syed T. R.Ali, Kashif...
13页
查看更多>>摘要:In this paper, (2 + 1)- dimensional nonlinear fractional electrical transmission line equation (NLFETLE), which explains the wave variation in nonlinear systems, will be investigated. To convert our model into an ordinary differential equation (ODE) we adopt a conformable fractional (CF) operator. By combining exponential, polynomial, trigonometric, and hyperbolic functions, we will analyze multi-waves, periodic cross-kink, M-shaped rational and interaction solutions. We will also analyze degeneracies of hybrid waves through some graphical shapes. (C) 2022 Elsevier B.V. All rights reserved.
查看更多>>摘要:The main aim of this article is to provide a lower bound of the diameter of a compact gradient rho-Einstein soliton satisfying some given conditions. We have also deduced some conditions of the gradient rho-Einstein soliton with bounded Ricci curvature to become non-shrinking and non-expanding. Further, we have proved that a complete non-compact gradient shrinking or expanding Schouten soliton with non-constant potential along with a condition for the boundedness of the scalar curvature must be non-parabolic. (c) 2022 Elsevier B.V. All rights reserved.