We demonstrate that the G ′ /G expansion method which is often used in finding exact solutions of nonlinear differential equation is equivalent to the well – known tanh method and application of these methods gives the same exact solutions of nonlinear differential equations.

Let Ĥ be a class. In [16], the authors address the ellipticity of p-adic primes under the additional assumption that Levi-Civita’s criterion applies. We show that η ( θ̃Λ ) ⊃  log( 1i ) ΓJ (∞−7,−|c′|) , t ′ ≤ א0 lim ←− tanh ( k̂ ) , U ⊂ u . Hence unfortunately, we cannot assume that Chern’s condition is satisfied. It would be interesting to apply the techniques of [16] to domains.

The main goal of this paper is to prove that the global atractor of the equation ẋ(t) = −kx(t)+β tanh(x(t−r)) is an equilibrium point for any β such that |β| < k. Furthermore, we exhibit numerical evidences that the trivial solution is global asymptotically stable in all the region of the parameters where the equilibrium is local asymptotically stable.

It is shown that the conclusions reached by Tereno are completely incorrect. We have recently shown that at the Event Horizon (EH) of a Sch. Black Hole (BH), the Kruskal derivative assumes a form [1] du dv → f(r, t, dr/dt) ±f(r, t, dr/dt) (1) because u → ±v as r → 2M . Although this limit attains a value of ±1 irrespective of f → 0,∞, or anything, Tereno [2] refuses to accept this. We have alre...

It is shown that the conclusions reached by Tereno are completely faulty We have recently shown that the Kruskal derivative assumes a form [1] du dv → f(r, t, dr/dt) ±f(r, t, dr/dt) (1) because u → ±v as r → 2M . Although this limit attains a value of ±1 irrespective of f → 0,∞, or anything, Tereno [2] refuses to accept this. Although, we have already pointed out that one should work out the li...

Lightweight or mobile neural networks used for real-time computer vision tasks contain fewer parameters than normal networks, which lead to a constrained performance. Herein, novel activation function named as Tanh Exponential Activation Function (TanhExp) is proposed can improve the performance these on image classification task significantly. The definition of TanhExp f(x) = x tanh(ex). simpl...

In this work we apply the tanh-coth method and the tan-cot method to study some nonlinear coupled equations. Four nonlinear coupled equations that appear in a variety of scientific applications are investigated. We derive soliton, singular solitons and periodic wave solutions for these coupled equations. The obtained results show that these four coupled equations reveal richness of explicit sol...