Mohamed Atef Helal
Professor of Applied Mathematics
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2022
Naschie, M. S. E., S. Olsen, M. Helal, L. Crnjac, and J. Huan-He,
The Interplay between Numerics and Physical Concepts in E-Infinity Cantorian Spacetime, Wild Topology, Constructor Theory and Recent Trends in Unifying Mathematics, Physics and Consciousness
,
, 2022.
Abstract
n/a
2021
Seadawy, A. R., A. Ali, and M. A. Helal,
"
Analytical wave solutions of the (2+ 1)-dimensional Boiti–Leon–Pempinelli and Boiti–Leon–Manna–Pempinelli equations by mathematical methods
",
Mathematical Methods in the Applied Sciences
, vol. 44, no. 18, pp. 14292–14315, 2021.
Abstract
n/a
Naschie, M. S. E., M. A. Helal, J. - H. He, and L. Marek-Crnjac,
"
Super Unification of Physics and Mathematics
",
Journal of Progressive Research in Mathematics
, vol. 18, issue 4, pp. 22-27, 2021.
Abstract
n/a
2020
Abou-Dina, M. S., M. A. Helal, A. F. Ghaleb, G. Kaoullas, and G. C. Georgiou,
"
Newtonian plane Couette flow with dynamic wall slip
",
Meccanica
, vol. 55, no. 7: Springer Netherlands, pp. 1499–1507, 2020.
Abstract
n/a
2018
Naschie, M. E., S. Olsen, M. A. Helal, and S. I. Nada,
"
On the missing link between cosmology and biology
",
International J. of Innovation in Science and Mathematics
, vol. 6, issue 1, pp. 11-13, 2018.
2017
Helal, M. A., A. R. Seadawy, and M Zekry,
"
Stability analysis of solutions for the sixth-order nonlinear Boussinesq water wave equations in two-dimensions and its applications
",
Chinese Journal of Physics
, vol. 55, no. 2, pp. 378-385, 2017.
Abstract
Website
n/a
Helal, M. A., A. R. Seadawy, and M Zekry,
"
Stability analysis solutions of the nonlinear modified Degasperis–Procesi water wave equation
",
Journal of Ocean Engineering and Science
, vol. 2, no. 3, pp. 155 - 160, 2017.
Abstract
Website
n/a
2014
Helal, M. A.,
"
Solitons, Introduction to
",
Encyclopedia of Complexity and Systems Science
, pp. 1-3, 2014.
Helal, M. A., A. R. Seadawy, and M. H. Zekry,
"
Stability analysis of solitary wave solutions for the fourth-order nonlinear Boussinesq water wave equation
",
Applied Mathematics and Computation
, vol. Vol. 232, issue DOI: 10.1016/j.amc.2014.01.066, pp. 1094-1103, 2014.
Naschie, M. S. E., L. Marek-Crnjac, M. A. Helal, and J. H. He,
"
A Topological Magueijo-Smolin Varying Speed of Light Theory, the Accelerated Cosmic Expansion and the Dark Energy of Pure Gravity
",
Applied Mathematics
, vol. Vol.5, issue DOI:10.4236/am.2014.512171, 2014.
2013
Naschie, M. S. E., L. Marek-Crnjac, J. H. He, and M. A. Helal,
"
Computing the missing dark energy of a clopen universe which is its own multiverse in addition to being both flat and curved
",
Fract. Spacetime Noncommut. Geom. Quant. High Energ. Phys.,
, vol. Vol. 3,, issue 1, pp. 3-10, 2013.
Helal, M. A., A. R. Seadawy, and M Zekry,
"
Stability Analysis Solutions for the Fourth-Order Nonlinear Ablowitz-Kaup-Newell-Segur Water Wave Equation
",
Applied Mathematical Sciences
, vol. 7(68), pp. 3355 - 3365, 2013.
Helal, M. A., L. Marek-Crnjac, and J. H. He,
"
The Three Page Guide to the Most Important Results of MS El Naschie’s Research in E-Infinity Quantum Physics and Cosmology
",
Open Journal of Microphysics
, vol. 3, pp. 141-143, 2013.
Ord, G., M. S. E. Naschie, J. - H. He, M. Berezowski, M. A. Helal, T. Kapitaniak, L. Marek-Crnjac, S. I. Nada, O. E. Rössler, S. Vrobel, et al.,
Fractal Spacetime and Noncommutative Geometry in Quantum and High Energy Physics
,
, 2013.
Abstract
n/a
Helal, M. A., A. R. Seadawy, and R. S. Ibrahim,
"
Variational principle for Zakharov–Shabat equations in two-dimensions
",
Applied Mathematics and Computation
, vol. 219, no. 10: Elsevier, pp. 5635–5648, 2013.
Abstract
n/a
2012
Helal, M. A., and A. R. Seadawy,
"
Benjamin–Feir instability in nonlinear dispersive waves
",
Computers & Mathematics with Applications
: Pergamon, 2012.
Abstract
n/a
2011
Helal, M. A., and A. R. Seadawy,
"
Exact soliton solutions of a D-dimensional nonlinear Schrödinger equation with damping and diffusive terms
",
Zeitschrift für angewandte Mathematik und Physik
, vol. 62, no. 5: SP Birkhäuser Verlag Basel, pp. 839–847, 2011.
Abstract
n/a
2009
Helal, M. A.,
"
Solitons, Introduction to
",
Encyclopedia of Complexity and System Science
: Springer, pp. 8504-8506, 2009.
Abstract
n/a
Helal, M. A., and A. R. Seadawy,
"
Variational method for the derivative nonlinear Schrödinger equation with computational applications
",
Physica Scripta
, vol. 80, no. 3: IOP Publishing, pp. 035004, 2009.
Abstract
n/a
2008
Helal, M. A., and M. S. Mehanna,
"
Tsunamis from nature to physics
",
Chaos, Solitons & Fractals
, vol. 36, no. 4: Elsevier, pp. 787–796, 2008.
Abstract
n/a
2007
Helal, M. A., and M. S. Mehanna,
"
A comparative study between two different methods for solving the general Korteweg–de Vries equation (GKdV)
",
Chaos, Solitons & Fractals
, vol. 33, no. 3: Pergamon, pp. 725–739, 2007.
Abstract
n/a
Helal, M. A., and M. S. Mehanna,
"
The tanh method and Adomian decomposition method for solving the foam drainage equation
",
Applied mathematics and computation
, vol. 190, no. 1: Elsevier, pp. 599–609, 2007.
Abstract
n/a
2006
Helal, M. A., and M. S. Mehanna,
"
A comparison between two different methods for solving KdV–Burgers equation
",
Chaos, Solitons & Fractals
, vol. 28, no. 2: Pergamon, pp. 320–326, 2006.
Abstract
n/a
Helal, M. A., and H. N. El-Eissa,
"
Shallow water waves and Korteweg-de Vries equation (oceanographical application)
",
Pure Mathematics and Applications
, vol. 7, no. 3-4: Department of Mathematics, Corvinus University of Budapest, pp. 263–282, 2006.
Abstract
n/a
Khater, A. H., D. K. Callebaut, M. A. Helal, and A. R. Seadawy,
"
Variational method for the nonlinear dynamics of an elliptic magnetic stagnation line
",
The European Physical Journal D-Atomic, Molecular, Optical and Plasma Physics
, vol. 39, no. 2: EDP sciences, pp. 237–245, 2006.
Abstract
n/a
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Recent Publications
The Interplay between Numerics and Physical Concepts in E-Infinity Cantorian Spacetime, Wild Topology, Constructor Theory and Recent Trends in Unifying Mathematics, Physics and Consciousness
Super Unification of Physics and Mathematics
Analytical wave solutions of the (2+ 1)-dimensional Boiti–Leon–Pempinelli and Boiti–Leon–Manna–Pempinelli equations by mathematical methods
Newtonian plane Couette flow with dynamic wall slip
On the missing link between cosmology and biology
more