Publications

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2022
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
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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

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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
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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. AbstractWebsite
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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. AbstractWebsite
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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

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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
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2012
Helal, M. A., and A. R. Seadawy, "Benjamin–Feir instability in nonlinear dispersive waves", Computers & Mathematics with Applications: Pergamon, 2012. Abstract
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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
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2009
Helal, M. A., "Solitons, Introduction to", Encyclopedia of Complexity and System Science: Springer, pp. 8504-8506, 2009. Abstract

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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
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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
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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
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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
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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
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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
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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
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