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...

In this paper, the Exp-function method is used to seek new generalized solitonary solutions of the Riccati equation. Based on the Riccati equation and one of its generalized solitonary solutions, new exact solutions with three arbitrary functions of the (2+1)-dimensional dispersive long wave equations are obtained. Compared with the tanh-function method and its extensions, the proposed method i...

In this paper based on a system of Riccati equations with variable coefficients, we presented a new Riccati equation with variable coefficients expansion method and its algorithm, which are direct and more powerful than the tanh-function method, sine-cosine method, the generalized hyperbolic-function method and the generalized Riccat equation with constant coefficient expansion method to constr...

In this paper, we revise two commonly used saturated functions, the logistic sigmoid and the hyperbolic tangent (tanh). We point out that, besides the well-known non-zero centered property, slope of the activation function near the origin is another possible reason making training deep networks with the logistic function difficult to train. We demonstrate that, with proper rescaling, the logist...

In this work, various dispersion compensation methods are designed and evaluated to search for a cost-effective technique with remarkable dispersion compensation and a good pulse shape. The techniques consist of different chirp functions applied to a tanh fiber Bragg grating (FBG), a dispersion compensation fiber (DCF), and a DCF merged with an optimized linearly chirped tanh FBG (joint techniq...

Neural network is a popular method used in machine research, and activation functions, especially ReLu Tanh, have very important function neural networks, to minimize the error value between output layer target class. With variations number of hidden layers, as well neurons each different layer, this study analyzes 8 models classify Titanic's Survivor dataset. The result that has better perform...

A method is proposed to construct closed-form solutions of nonlinear differential-difference equations. For the variety of nonlinearities, this method only deals with such equations which are written in polynomials in function and its derivative. Some closed-form solutions of Hybrid lattice, Discrete mKdV lattice, and modified Volterra lattice are obtained by using the proposed method. The trav...

We construct formal series solutions of linear partial differential equations as linear combinations of powers of solutions of first order nonlinear differential equations, following the classical tanh method. We give sufficient conditions under which the constructed formal series define holomorphic functions on some punctured polydiscs of C. Moreover, we study the rate of growth of these solut...

In this paper, we employ extended tanh-function method and the (G0 G )-expansion method to find the exact traveling wave solutions involving parameters of nonlinear evolution equation Modified Liouville equation and comparison between this two method and another method which have been solved it. When these parameters are taken to be special values, the solitary wave solutions are derived from t...