Solitons

Mohamed Atef Helal has received his BSc in Mathematics, the distinction with 1st class honor in 1969, Faculty of Science, Cairo University, Egypt. Then, he received his MSc in Applied Mathematics from the Faculty of Science, Cairo University, in 1975. In 1976, he got his DEA from Institute de Mechanique (IMG) Grenoble, France. After that, he received his Doctorat 3eme Cycle in Fluid Mechanics from IMG, Grenoble, France, in 1979. Finally, he got his Ph.D. in Applied Mathematics from Cairo University in 1982. Mohamed is currently a Professor of Mathematics in the Faculty of Science, Cairo University. He is an active fellow in the Institute of Physics (England), Institute of Mathematics and its Applications (England), Royal Astronomical Society (England), and London Mathematical Society (England). Mohamed is also a member of several scientific societies in the US and Europe. Also, he acted as a president of the Egyptian Mathematical and Physical Society and was a board member of the Egyptian Mathematical Society. There are a variety of publications in the fields of non-linear partial differential equations and Soliton solutions, Tsunamis, computational fluid mechanics, physical oceanography, fluids in rotating circular basins, shallow water waves in stratified fluids, wavelets, induction in thin sheets, and its applications in oceans, dark energy and golden mean in cosmology and physics. He participated in writing and editing 3 books. He has many students who took their MSc and Ph.D. in applied mathematics. He is participating in judging MSc and Ph.D. theses from Egypt and other countries. He is an active reviewer in several distinguishable journals.

Nonlinear Water Waves and Nonlinear Evolution Equations with ApplicationsInverse Scattering Transform and the Theory of SolitonsKorteweg-de Vries Equation (KdV), Different Analytical Methods for Solving theKorteweg-de Vries Equation (KdV), History, Exact N-Soliton Solutions and Further Properties of theSemi-analytical Methods for Solving the KdV and mKdV EquationsKorteweg-de Vries Equation (KdV), Some Numerical Methods for Solving theNonlinear Internal WavesPartial Differential Equations that Lead to SolitonsShallow Water Waves and Solitary WavesSoliton PerturbationSolitons and CompactonsSolitons: Historical and Physical IntroductionSolitons InteractionsSolitons, Introduction toSolitons, Tsunamis and Oceanographical Applications ofWater Waves and the Korteweg-de Vries EquationSoliton Solutions for Some Nonlinear Water Wave Dynamical ModelsAnalytical Soliton Solutions for Some Nonlinear Dynamical Water Waves ModelsSoliton Propagation in Solids: Advances and ApplicationsApplications of lump and interaction soliton solutions to the model of liquid crystals and nerve fibersPeriodic cross-kink, rogue-waves, and lump interaction soliton solutions with kink and periodic waves for fractional Bogoyavlenskii equationDouble Tchebyshev spectral tau algorithm for solving KdV equation, with soliton application