Search

Your search keyword '"S. H. Alfalqi"' showing total 2 results
Start Over Author "S. H. Alfalqi" Publisher hindawi limited
2 results on '"S. H. Alfalqi"'

1. Dynamical Behaviour of the Light Pulses through the Optical Fiber: Two Nonlinear Atangana Conformable Fractional Evolution Equations

Author

S. H. Alfalqi, Mostafa M. A. Khater, J. F. Alzaidi, and Dianchen Lu

Subjects
Mathematics, QA1-939
Abstract

This study, using the extended simplest method of equation, examines the explicit movement solutions of both the Schwarzian Korteweg-de Vries (SKdV) and (2 + 1)-Ablowitz-Kaup-Newell-Segur (AKNS.) equation. These models show the movement of the waves in optical fiber mathematically. The SKdV equation explains the movement of the isolated waves in diverse fields and on the site in a small space microsection. Some solutions obtained have been developed to show the physical and dynamic behaviors of these solutions in the obtained wave.

Published
2020
Full Text
View/download PDF

2. Computational and Numerical Solutions for 2+1-Dimensional Integrable Schwarz–Korteweg–de Vries Equation with Miura Transform

Author

J. F. Alzaidi, S. H. Alfalqi, Raghda A. M. Attia, Dianchen Lu, and Mostafa M. A. Khater

Subjects
Multidisciplinary, General Computer Science, Integrable system, One-dimensional space, 010103 numerical & computational mathematics, 01 natural sciences, Stability (probability), 010305 fluids & plasmas, Scheme (mathematics), 0103 physical sciences, Applied mathematics, Boundary value problem, 0101 mathematics, Korteweg–de Vries equation, Adomian decomposition method, Mathematics
Abstract

This paper investigates the analytical, semianalytical, and numerical solutions of the 2+1–dimensional integrable Schwarz–Korteweg–de Vries (SKdV) equation. The extended simplest equation method, the sech-tanh method, the Adomian decomposition method, and cubic spline scheme are employed to obtain distinct formulas of solitary waves that are employed to calculate the initial and boundary conditions. Consequently, the numerical solutions of this model can be investigated. Moreover, their stability properties are also analyzed. The solutions obtained by means of these techniques are compared to unravel relations between them and their characteristics illustrated under the suitable choice of the parameter values.

Published
2020
Full Text
View/download PDF

Catalog

Books, media, physical & digital resources
See catalog results