Basic Informations

C.V

Dr. R. S. Ibrahim

Department of Mathematics, Faculty of Science, Beni-Suef University, Beni-Suef, Egypt.

E-mail. rs_ibrahim67@yahoo.com

1- A. H. Khater, D. K. Callebaut, A. B. Shamardan and R.S. Ibrahim “Bäcklund transformations and Painlevé analysis : Exact soliton solutions for strongly rarefied relativistic cold plasma”, Phys. of Plasmas, 4(1997)3910-3922.

2- A. H. Khater, D. K. Callebaut and R.S. Ibrahim “Bäcklund transformations and Painlevé analysis : Exact Solutions for the nonlinear isothermal magnetostatic atmospheres”, Phys. of Plasmas”, 4(1997)2853-2863.

3- A. H. Khater, R.S. Ibrahim , A. B. Shamardan and D. K. Callebaut “Bäcklund transformations and Painlevé analysis : Exact solutions for a Grad-Shafranov type Magnetohydrodynamic Equilibrium’, IMA J. Applied Math., 58(1997)51-69

4- A. H. Khater, D. K. Callebaut and R.S. Ibrahim “Bäcklund transformations and Painlevé analysis : Exact soliton solutions for the unstable nonlinear Schrödinger equation modelling electron beam Plasma”, Phys. of Plasmas, 5(1998)395-400.

5- A. H. Khater, R.S. Ibrahim , O. H. El-Kalaawy and D. K. Callebaut “Bäcklund Transformations and Exact Soliton Solutions for Some Nonlinear Evolution equations of ZS/AKNS system” Chaos Solitons and Fractals, 9(1998)1847-1855.

6- A. H. Khater, D. K. Callebaut, A. B. Shamardan and R.S. Ibrahim “Chebyshev spectral collocation method for nonlinear isothermal magnetostatic Atmospheres.” Computational and Applied Mathematics”, 115 (1-2) (2000)309-329.

7- R. S. Ibrahim “Tanh-travelling wave solutions, truncated Painlevé Expansion and reduction of Bullough-Dodd equation to a quadrature in magnetohydrodynamic equilibrium”, Chaos Solitons and Fractals, 16(2003)675-683.

8- R. S. Ibrahim “Truncated Painlevé Expansion and reduction of sine-Poisson equation to a quadrature in Collisionless Cold Plasma”, IMA J. Applied Math., 68(2003), 523-535.

9- R. S. Ibrahim and O. H. El-Kalaawy “Truncated Painlevé Expansion : Tanh-travelling wave solutions and reduction of sine-Poisson equation to a quadrature for stationary and nonstationary three-dimensional Collisionless Cold Plasma”, Phys. of Plasmas, 13(2006)102305-102311.

10- O. H. El-Kalaawy and R. S. Ibrahim “Exact solutions for nonlinear propagation of slow ion acoustic monotonic double layers and a solitary hole in a semirelativistic plasma: Phys. of Plasmas”, 15(2008) 072303-072307.

11- O. H. El-Kalaawy and R. S. Ibrahim “Linearizing Transformation and Exact Solutions of Nonlinear Equations In Mathematical Physics”, Italian journal of pure and applied math, N.23 (2008) 197-204.

12- R. S. Ibrahim and O. H. El-Kalaawy "Extended tanh-function method and reduction of nonlinear Schrodinger-type equation to a quadrature", Chaos Solitons and Fractals, 31 (2007)1001-1008.

13- O. H. El-Kalaawy and R. S. Ibrahim " Bäcklund Transformation and Soliton Solutions for The Higher Order and Inhomogeneous Nonlinear Schrödinger Equations", International Journal of Nonlinear Science, 5 (2008)

14- R. S. Ibrahim “Tanh-travelling wave solutions and reduction of variable-coefficient unstable nonlinear Schrödinger equation to a quadrature in electron beam plasma", Applied Mathematical Sciences, Vol.2, no. 44 (2008) 2157-216

15- Omar H. El-Kalaawy, Rafat S. Ibrahim " Solitary Wave Solution of the Two-dimensional Regularized long-wave and Davey-Stewartson Equations in Fluids and Plasmas" Applied Mathematics, 3(2012) 833-843.

16- M. A. Helal, A. R. Seadawy and R.S. Ibrahim" Variational principle for Zakharov-Shabat equations in two dimensions" Applied Mathematics and computation, 219(10) (2013) 5625-5648.

Master Title

Spectral Methods for Solving Partial differential Equations

Master Abstract

Spectral Methods for Solving Partial differential Equations

PHD Title

Variational Formulation , Backlund Transformations, Panleve Analysis and Exact solutions of some nonlinear partial differential equations with applications

PHD Abstract