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New Optical Soliton Solutions of the Perturbed Fokas-Lenells Equation

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Communications in Theoretical Physics 2019年第11期71卷 1275-1280页

作者： maha S.m.Shehata hadi Rezazadeh emad h.m.zahran Eric Tala-Tebue Ahmet Bekir Departments of mathematics Zagazig UniversityFaculty of ScienceZagazigEgypt Faculty of Engineering Technology Amol University of Special Modern TechnologiesAmolIran Departments of mathematical and Physical Engineering Benha UniversityFaculty of EngineeringShubraEgypt Laboratoire D'Automatique et D'Informatique Appliquee(LAIA) IUT-FV of BandjounThe University of DschangBP 134BandjounCameroon Neighbourhood of Akcaglan Imarli StreetNumber:28/426030EskisehirTurkey

In this article, we employ the perturbed Fokas-Lenells equation(FLE), which represents recent electronic communications. The Riccati-Bernoulli Sub-ODE method which does not depend on the balance rule is used for thefirst time to obtain the new exact and solitary wave solutions of this equation. This technique is direct, effective and reduces the large volume of calculations.

关键词： perturbed Fokas-Lenells equation(FLE) Riccati-Bernoulli Sub-ODE method optical soliton solutions

Exact Traveling Wave Solutions of Nano-Ionic Solitons and Nano-Ionic Current of mTs Using the exp(-φ (ξ ))-Expansion method

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Advances in Nanoparticles 2015年第2期4卷 25-36页

作者： emad h. m. zahran Department of mathematical and Physical Engineering College of Engineering Shubra University of Benha Egypt

In this work, the exp(-φ (ξ )) -expansion method is used for the first time to investigate 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. The validity and reliability of the method are tested by its applications to Nano-ionic solitons wave’s propagation along microtubules in living cells and Nano-ionic currents of mTs which play an important role in biology.

关键词： The exp(-φ (ξ )) -Expansion method Nano-Solitons of Ionic Wave’s Propagation along microtubules in Living Cells Nano-Ionic Currents of mTs Traveling Wave Solutions Kink and Anti Kink Wave Solutions

Exact Traveling Wave Solutions for Nano-Solitons of Ionic Waves Propagation along microtubules in Living Cells and Nano-Ionic Currents of mTs

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World Journal of Nano Science and Engineering 2015年第3期5卷 78-87页

作者： emad h. m. zahran Department of mathematical and Physical Engineering College of Engineering University of Benha Shubra Egypt

In this work, the extended Jacobian elliptic function expansion method is used as the first time to evaluate the exact traveling wave solutions of nonlinear evolution equations. The validity and reliability of the method are tested by its applications to nano-solitons of ionic waves propagation along microtubules in living cells and nano-ionic currents of mTs which play an important role in biology.

关键词： Extended Jacobian Elliptic Function Expansion method Nano-Solitons of Ionic Waves Propagation along microtubules in Living Cells Nano-Ionic Currents of mTs Traveling Wave Solutions

Extended Jacobian Elliptic Function Expansion method and Its Applications in Biology

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Applied mathematics 2015年第7期6卷 1174-1181页

作者： emad h. m. zahran mostafa m. A. Khater Department of mathematical and Physical Engineering College of Engineering Shubra Benha University Benha Egypt Department of mathematics Faculty of Science Mansoura University Mansoura Egypt

In this work, an extended Jacobian elliptic function expansion method is proposed for constructing the exact solutions of nonlinear evolution equations. The validity and reliability of the method are tested by its applications to Dynamical system in a new Double-Chain model of DNA and a diffusive predator-prey system which play an important role in biology.

关键词： Extended Jacobian Elliptic Function Expansion method Dynamical System in a New Double-Chain model of DNA A Diffusive Predator-Prey System Traveling Wave Solutions Solitary Wave Solutions

Exact Traveling Wave Solutions for the System of Shallow Water Wave Equations and modified Liouville Equation Using Extended Jacobian Elliptic Function Expansion method

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American Journal of Computational mathematics 2014年第5期4卷 455-463页

作者： emad h. m. zahran mostafa m. A. Khater Department of mathematical and Physical Engineering College of Engineering University of Benha Shubra Egypt Department of mathematics Faculty of Science Mansoura University Mansoura Egypt

In this work, an extended Jacobian elliptic function expansion method is proposed for constructing the exact solutions of nonlinear evolution equations. The validity and reliability of the method are tested by its applications to the system of shallow water wave equations and modified Liouville equation which play an important role in mathematical physics.

关键词： Extended Jacobian Elliptic Function Expansion method The System of Shallow Water Wave Equations modified Liouville Equation Traveling Wave Solutions Solitary Wave Solutions

The Solitary Wave Solutions of Important model in Particle Physics and Engineering According to Two Different Techniques

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American Journal of Computational mathematics 2019年第4期9卷 317-327页

作者： maha S. m. Shehata emad h. m. zahran Department of mathematics Faculty of Science Zagazig University Zagazig Egypt Department of mathematical and Physical Engineering Faculty of Engineering Benha University Cairo Egypt

In this paper, we utilized the Jaulent-miodek equation which is one of important models in particle physics and engineering. The exact traveling wave solutions for this equation “involving parameters” according to two different techniques are constructed. When these parameters are taken as special values, the solitary wave solutions are derived from it. A comparison between the obtained results using these two different methods with that obtained by previous authors is demonstrated.

关键词： The Extended Jacobian Elliptic Function Expansion method The Ricatti-Bernolli Sub ODE method The Jaulent-miodek (Jm)-Equation Traveling Wave Solutions

The exp(-&phi;(&xi;))-Expansion method and Its Application for Solving Nonlinear Evolution Equations

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International Journal of modern Nonlinear Theory and Application 2015年第1期4卷 37-47页

作者： mahmoud A. E. Abdelrahman emad h. m. zahran mostafa m. A. Khater Department of mathematics Faculty of Science Mansoura University Mansoura Egypt Department of mathematical and Physical Engineering College of Engineering Shubra Benha University Egypt

The exp(-φ(ξ))-expansion method is used as the first time to investigate the wave solution of a nonlinear dynamical system in a new double-Chain model of DNA and a diffusive predator-prey system. The proposed method... 详细信息

关键词： Dynamical System in a New Double-Chain model of DNA A Diffusive Predator-Prey System Traveling Wave Solutions Solitary Wave Solutions Kink-Anti Kink Shaped

An Integral method for Solving Dynamic Equations with Fluid–Solid Coupling

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Acta mechanica Solida Sinica 2024年第1期37卷 99-108页

作者： Xin Zhang Jie Liu Pu Xue Shuowen Yan Yahao Xu m.S.zahran School of Aeronautics Northwestern Polytechnical UniversityXi'an 710072China School of mechatronical Engineering Beijing Institute of TechnologyBeijing 100081China Department of Civil Engineering Military Technical CollegeCairo 11435Egypt

In this work,a new methodology is presented to mainly solve the fluid–solid interaction(FSI)*** methodology combines the advantages of the Newmark precise integral method(NPIm)and the dual neural network(DNN)*** NPIm is employed to modify the exponential matrix and loading vector based on the DNN integral *** involves incorporating the basic assumption of the Newmark-βmethod into the dynamic equation and eliminating the acceleration term from the dynamic equilibrium *** a result,the equation is reduced to a first-order linear equation ***,the PIm is applied to integrate the system step by step within the *** DNN method is adopted to solve the inhomogeneous term through fitting the integrand and the original function with a pair of neural networks,and the integral term is solved using the Newton–Leibniz *** examples demonstrate that the proposed methodology significantly improves computing efficiency and provides sufficient precision compared to the DNN *** is particularly evident when analyzing large-scale structures under blast loading conditions.

关键词： Newmark precise integral method(NPIm) Dual neural networks(DNN) Fluid-solid interaction(FSI) Dynamic time-history analysis Blast loading

Exact solutions for magnetohydrodynamic nanofluids flow and heat transfer over a permeable axisymmetric radially stretching/shrinking sheet

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Chinese Physics B 2024年第2期33卷 108-114页

作者： U.S.mahabaleshwar G.P.Vanitha L.m.Pérez emad h.Aly I.Pop Department of Studies in mathematics Davangere UniversityShivagangothriDavangereIndia Departamento de F´ısica FACIUniversidad de Tarapac´aCasilla 7DAricaChile Department of mathematics Faculty of EducationAin Shams UniversityRoxyCairoEgypt Department of mathematics Babes-Bolyai University400084 Cluj-NapocaRomania

We report on the magnetohydrodynamic impact on the axisymmetric flow of Al_(2)O_(3)/Cu nanoparticles suspended in h_(2)O past a stretched/shrinked *** the use of partial differential equations and the corresponding thermophysical characteristics of nanoparticles,the physical flow process is *** resultant nonlinear system of partial differential equations is converted into a system of ordinary differential equations using the suitable similarity *** transformed differential equations are solved *** of the magnetic parameter,solid volume fraction and stretching/shrinking parameter on momentum and temperature distribution have been analyzed and interpreted *** skin friction and Nusselt number were also *** addition,existence of dual solution was deduced for the shrinking sheet and unique solution for the stretching ***,Al_(2)O_(3)/h_(2)O nanofluid flow has better thermal conductivity on comparing with Cu/h_(2)O ***,it was found that the first solutions of the stream are stable and physically realizable,whereas those of the second ones are unstable.

关键词： magnetohydrodynamic nanofluid stretching/shrinking sheet axisymmetric flow analytical solution suction/injection