It is important to seek for more explicit exact solutions of nonlinear partial differential equations (NLPDEs) in mathematical physics. With the help of symbolic computation software like Maple or Mathematica, much work has been focused on the various extensions and applications of the known methods to construct exact solutions of NLPDEs. Mathematical modelling of physical systems often leads t...

In this article, we construct exact black hole solutions with many horizons (more than number two) in the Einstein-nonlinear electrodynamic theories. particular, acquire explicit expression of nonlinear Lagrangian for 3-horizon holes. Then make investigations holes on horizons, null and timelike geodesics, Love numbers thermodynamics.

We study the effects of anisotropic pressure on the properties of spherically symmetric, gravitationally bound objects. We consider the full generalrelativistic treatment of this problem and obtain exact solutions for various forms of the equation of state connecting the radial and tangential pressures. It is shown that pressure anisotropy can have significant effects on the structure and prope...

In this work, we investigate invariance analysis, conservation laws, and exact power series solutions of time fractional generalized Drinfeld–Sokolov systems (GDSS) using Lie group analysis. Using point symmetries the Erdelyi–Kober (EK) differential operator, GDSS equation is reduced to a nonlinear ordinary (ODE) order. Moreover, have constructed laws for obtained explicit ODEs that converge. L...

in this paper we obtain  exact solutions of the generalized kuramoto-sivashinsky equation, which describes manyphysical processes in motion of turbulence and other unstable process systems.    the methods used  to determine the exact solutions of the underlying equation are the lie group analysis  and the simplest equation method. the solutions obtained are  then plotted.