Educational Journey
Jiangsu University
Ph.D. in Mathematics β’ Mathematics
2020Mansoura University Faculty of Science
MSc. in Mathematics β’ Mathematics
2016Zagazig University Faculty of Science
Bsc. in Mathematics β’ Mathematics
2011Experience
Obour Higher Institute for Management and Information Technology
Lecture
2016 - Present β’ MathematicsEditors Role
Editor
Journal of Research in Applied Sciences (JRAS)
0 -Editor
Journals of Harmonized Research
0 -Research
Solitary Wave Solutions for the Generalized Zakharov-Kuznetsov- Benjamin-Bona-Mahony Nonlinear Evolution Equation
In this paper, we employ the exp (Γ’ΛβΓβ (ΓΒΎ))-expansion method to find the exact traveling wave solutions involving parameters of nonlinear evolution equations. When these parameters are taken to be special values, the solitary wave solutions are derived from the exact traveling wave solutions. It is shown that the proposed method provides a more powerful mathematical tool for constructing exact traveling wave solutions for many other nonlinear evolution equations.
Extended exp(-I(I)) -Expansion method for Solving the Generalized Hirota-Satsuma Coupled KdV System
In this research, The exact traveling wave solutions of the generalized Hirota-Satsuma couple KdV system is obtained as the first time in the framework of the extended exp(Γ³Β²Ββ¬'(_))-expansion method. When these parameters are taken special values, the solitary wave solutions are derived from the exact traveling wave solutions. It is shown that the extended exp(Γ³Β²Ββ¬'(_))-expansion method give a wide range of solutions and it provides an effective and a more powerful mathematical tool for solving nonlinear evolution equations in mathematical physics. Comparison between our results and the well-known results will be presented.
On the New Solitary Wave Solution of the Generalized Hirota-Satsuma Couple KdV System
In this article, we employ - expansion method for the generalized Hirota - Satsuma couple KdV system to find the exact traveling wave solutions involving parameters with the aid of Maple 16. When these parameters are taken special values, the solitary wave solutions are derived from the exact traveling wave solutions. It is shown that the - expansion method provides an effective and a more powerful mathematical tool for solving nonlinear evolution equations in mathematical physics. Comparison between our results and the well-known results will be presented.
