In this paper, we investigate solitary wave solutions of the nonlinear electrical transmission line by using Jacobi elliptic function and auxiliary equation methods. We obtain as well kink, bright, dark, W-shaped solitons a result. For specific values modulus, depict soliton suitable parameters structure. Using method gives combined bright–bright dark–dark optical in fibers. One result emerges ...

Tuxford's index, first described in 1917, was based on measurements, made in 1909 and 1910, of half a million elementary-school children in various parts of England (Tuxford, 1917). It is the ratio of weight to height graduated by age to allow for the changes which o a u r in the ratio with age. The index was again described in 1939, and formulae for use with British units were added to the ori...

objective(s) theophylline, a xanthenes derivative, is still widely used as an effective bronchodilator in the management of asthmatic patients. it is used both as a prophylactic drug and to prevent acute exacerbations of asthma. the aim of study was to formulate and evaluate effect of the microencapsulation of theophylline loaded nanoparticles on the reduction of burst release. materials and me...

A new class of orthogonal polynomials is introduced which generalizes the Bernstein-Szegö polynomials and includes the associated polynomials as well. The purpose of this paper is to give a natural extension of the Bernstein-Szegö orthogonal polynomials for a general class of weight functions. A nonnegative function w defined on the real line is called a weight function if w > 0, fRw > 0 and al...

We develop an approach to fabricate monodisperse water-in-water-in-water (w/w/w) double emulsion in microfluidic devices. A jet of aqueous solution containing two incompatible solutes, dextran and polyethylene glycol (PEG), is periodically perturbed into water-in-water (w/w) droplets. By extracting water out of the w/w droplet, the solute concentrations in the droplet phase increase; when the c...

Lemma 1. Let k be a field and let (a, b, c), (α, β, γ) ∈ P(k) be distinct points. Then there is a unique line through these points, and it is given by the equation: ∣∣∣∣∣ x y z a b c α β γ ∣∣∣∣∣ = 0 . Two lines given by equations ux+ vy+wz = 0 and u′x+ v′y+w′z = 0 coincide if and only if the points (u, v, w) and (u′, v′, w′) coincide as points in P(k). Two distinct lines in P(k) intersect in pr...