In this paper, we analyze the effects of expansion on large scale structure formation in our Universe. We do that by incorporating a cosmological constant term gravitational partition function. This function with is used for analyzing thermodynamics system. virial system, and obtain its equation state. It observed generalization state like Van der Waals equation. also phase transition system us...

In this paper, we study the extraction of some analytical solutions to nonlinear perturbed sine-Gordon equation with long Josephson junction properties. The model studied was formed observe properties separated by two superconductors. Moreover, it is also used explain effect arising in highly nature junctions. This provides shunt inductances realize a left-handed transmission line. A powerful s...

We have developed a generalized cubic (GC) EOS for pure fluids, which incorporates non-analytic scaling laws in the critical region and in the limit ρ → 0 is transformed into the ideal gas equation EOS. The GC EOS contains 10 adjustable parameters and reproduces the thermodynamic properties of pure fluids with high accuracy, including the asymptotic scaling behavior of the isochoric heat capaci...

The sine-Gordon (SG) equation and perturbed nonlinear Schrödinger (NLS) equations are studied numerically for modeling the propagation of two space dimensional (2D) localized pulses (the so-called light bullets) in nonlinear dispersive optical media. We begin with the (2 + 1) SG equation obtained as an asymptotic reduction in the two level dissipationless Maxwell–Bloch system, followed by the r...

abstract accurate prediction of hourly minimum temperature is required for various crop models which simulate photosynthesis and transpiration. such data can be used for crop protection and reducing the crops injuries due to freezing as well. our objective of this study is employing trigonometric and pattern recognition (k-nn) approaches to evaluate their potential in prediction of hourly tempe...

The practical value of the surprisingly simple Van der Burgh equation in predicting saline water intrusion in alluvial estuaries is well documented, but the physical foundation of the equation is still weak. In this paper we provide a connection between the empirical equation and the theoretical literature, leading to a theoretical range of Van der Burgh’s coefficient of 1/2<K < 2/3 for density...

The fundamental set of solutions of the generalized hypergeometric differential equation in the neighborhood of unity has been built by Nørlund in 1955. The behavior of the generalized hypergeometric function in the neighborhood of unity has been described in the beginning of 1990s by Bühring, Srivastava and Saigo. In the first part of this paper we review their results rewriting them in terms ...

In this paper we establish some new exact solutions regarding to the unsteady flow of a generalized Oldroyd-B fluid produced by a suddenly moved plate between two side walls perpendicular to the plate. The governing equation has been obtained through fractional calculus approach. Fourier sine transform and discrete Laplace transform have been used to obtained exact solutions. The solution of ve...

Exact solutions are important in many branches of engineering and physics because of inhomogeneity, nonlinearities and some general boundary conditions. Hence, applied mathematicians, engineers and physicists are forced to find approximate solutions of the problems in these areas. So, there are many different methods such as sine-cosine method, tanh-coth method, exp-function method, G’/G-expans...