F. M. Ahmed

Numerical Optics Soliton Solution of the Nonlinear Schrödinger Equation Using the Laplace and the Modified Laplace Decomposition Method

M. M. El-Horbaty & F. M. Ahmed · Journal of Advances in Mathematics and Computer Science · 2019

In this paper, the Laplace decomposition method (LDM) and some modification, namely the Modified Laplace decomposition method (MLDM), are adopted to numerically investigate the optic soliton solution of the nonlinear complex Schrödinger equation (NLSE). The obtained results demon...

Open access Research Article 10.9734/jamcs/2019/v33i230173

Multiple Exact Travelling Solitary Wave Solutions of Nonlinear Evolution Equations

M. M. El-Horbaty & F. M. Ahmed · Asian Research Journal of Mathematics · 2019

An extended Tanh-function method with Riccati equation is presented for constructing multiple exact travelling wave solutions of some nonlinear evolution equations which are particular cases of a generalized equation. The results of solitary waves are general compact forms with n...

Open access Research Article 10.9734/arjom/2019/v14i230124

The Solitary Travelling Wave Solutions of Some Nonlinear Partial Differential Equations Using the Modified Extended Tanh Function Method with Riccati Equation

M. M. El-Horbaty & F. M. Ahmed · Asian Research Journal of Mathematics · 2018

In this work, we aimed to construct a variety of solitary travelling wave solutions of a wide class of nonlinear partial differential equations (PDE's) that is governed by a presented single nonlinear partial differential equation (PDE) using the powerful modified extended Tanh m...

Open access Research Article 10.9734/ARJOM/2018/36887