Generalized second-order Thomas-Fermi method for superfluid Fermi systems

Simplest Equation Method for nonlinear solitary waves in Thomas- Fermi plasmas

The Thomas-Fermi (TF) equation has proved to beuseful for the treatment of many physical phenomena. In this pa-per, the traveling wave solutions of the KdV equation is investi-gated by the simplest equation method. Also, the effect of differentparameters on these solitary waves is considered. The numericalresults is conformed the good accuracy of presented method.    

Dipole Moments in Thomas-Fermi-Dirac and Thomas-Fermi Theories

On Avakumović’s Theorem for Generalized Thomas–fermi Differential Equations

For the generalized Thomas–Fermi differential equation (|x|x) = q(t)|x|x, it is proved that if 1 6 α < β and q(t) is a regularly varying function of index μ with μ > −α − 1, then all positive solutions that tend to zero as t → ∞ are regularly varying functions of one and the same negative index ρ and their asymptotic behavior at infinity is governed by the unique definite decay law. Further, an...

The improved homotopy analysis method for the Thomas-Fermi equation

The homotopy analysis method (HAM) is sharpened to solve the Thomas–Fermi equation. Some techniques are employed, including the use of asymptotic analysis to introduce proper transformation, and the use of optimal initial guess and optimal auxiliary linear operator to accelerate the convergence of homotopy approximations. The optimal convergence control parameters are determined by the minimum ...

Particle correlations in the generalized Thomas-Fermi approach.

This paper presents the Thomas-Fermi approach generalized to consider the particle correlations in many-body systems with non-Coulomb interaction potentials. The key points of the generalization consist in using integral formulation and extracting the pair distribution function. The latter has been found to obey the integral equation which, in the classical limit, is reduced to the well-known e...