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Journal of Ocean Engineering and Science 2017年第3期2卷 223-228页

作者： mostafa M.A.khater Dipankar Kumar Department of Mathematics Faculty of ScienceJiangsu UniversityJiangsuChina Faculty of Science Department of MathematicsMansoura University35516 MansouraEgypt Doctoral Student Division of Engineering Mechanics and EnergyGraduate School of Systems and Information EngineeringUniversity of TsukubaTennodai 1-1-1TsukubaIbarakiJapan Department of Mathematics Bangabandhu Sheikh Mujibur Rahman Scienceand Technology UniversityGopalganj 8100Bangladesh

The aim of the article is to construct exact solutions for the time fractional coupled Boussinesq-Burger and approximate long water wave equations by using the generalized Kudryashov *** fractional differential equation is converted into ordinary differential equations with the help of fractional complex transform and the modified Riemann-Liouville derivative *** the generalized Kudryashov method through with symbolic computer maple package,numerous new exact solutions are successfully *** calculations in this study have been established and verified back with the aid of the Maple package *** executed method is powerful,effective and straightforward for solving nonlinear partial differential equations to obtain more and new solutions with the integer and fractional order.

关键词： The generalized Kudryashov method The time fractional coupled Boussinesq-Burger equation The time fractional approximate long water wave equation Exact solutions

Semi-analytical and numerical simulations of the modified Benjamin-Bona-Mahony model

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Journal of Ocean Engineering and Science 2022年第3期7卷 264-271页

作者： mostafa M.A.khater SamirA.Salama Department of Mathematics Faculty of ScienceJiangsu UniversityZhenjiang212013China Department of Mathematics Obour High Institute For Engineering and TechnologyCairo11828Egypt Division of Biochemistry Department of PharmacologyCollege of PharmacyTaif UniversityP.O.Box 11099Taif 21944Saudi Arabia

In this article,semi-analytical and numerical simulations of the well-known modified Benjamin-Bona-Mahony(mBBM)equation are *** study targets to check the accuracy of the obtained analytical solutions of the mBBM model that have been obtained in[1]through three recent analytical schemes(extended simplest equation(ESE)method,modified kudryashov(mKud)method,and SechTanh(ST)expansion method).The considered model describes the propagation of long waves in the nonlinear dispersive media in a visual *** Homotopy iteration(HI)method,exponential cubic-B-spline(ECBS)method,and trigonometric-quantic-B-spline(TQBS)method are employed to construct novel semi-analytical and accurate numerical *** obtained solutions’accuracy has been checked through some different types of two-dimensional graphs.

关键词： Modified Benjamin-Bona-Mahony equation Approximate solutions

Plenty of analytical and semi-analytical wave solutions of shallow water beneath gravity

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Journal of Ocean Engineering and Science 2022年第3期7卷 237-243页

作者： mostafa M.A.khater SamirA.Salama Department of Mathematics Faculty of ScienceJiangsu UniversityZhenjiang 212013China Department of Mathematics Obour High Institute For Engineering and TechnologyCairo 11828Egypt Division of Biochemistry Department of PharmacologyCollege of PharmacyTaif UniversityP.O.Box 11099Taif 21944Saudi Arabia

This article studies novel soliton wave solutions of the nonlinear fractional ill-posed Boussinesq(NLFIPB)dynamic wave equation by applying the extended Riccati-expansion(ERE)*** Hadamard has formulated the investigated model to figure out the dynamic characterizations of waves in shallow water under *** obtained solutions are explained through some sketches in 2D and 3D and contour *** the same time,the results’accuracy is checked by comparing the obtained solutions with semianalytical solutions through the well-known Adomian decomposition(AD)*** superiority of the ERE method over the original method is *** constructed solutions are checked by submitting them back into the original model through Mathematica 12 software.

关键词： Ill-posed Boussinesq dynamical wave Analytical and semi-analytical simulations

Solitary wave solutions for the generalized Zakharov-Kuznetsov-Benjamin-Bona-Mahony nonlinear evolution equation

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Journal of Ocean Engineering and Science 2017年第2期2卷 137-142页

作者： Aly R.Seadawy Dianchen Lu mostafa M.A.khater Department of Mathematics Faculty of ScienceTaibah UniversityAl-UlaSaudi Arabia Department of Mathematics Faculty of ScienceJiangsu UniversityChina Department of Mathematics Faculty of ScienceMansoura University35516 MansouraEgypt

In this paper,we utilize the exp(−ϕ(ξ))-expansion method to find exact and solitary wave solutions of the generalized Zakharov-Kuznetsov-Benjamin-Bona-Mahony nonlinear evolution *** generalized Zakharov-Kuznetsov-Benjamin-Bona-Mahony nonlinear evolution equation describes the model for the propagation of long waves that mingle with nonlinear and dissipative *** model is used in the analysis of the surface waves of long wavelength in hydro magnetic waves in cold plasma,liquids,acoustic waves in harmonic crystals and acoustic-gravity waves in compressible *** using this method,seven different kinds of traveling wave solutions are successfully obtained for this *** considered method and transformation techniques are efficient and consistent for solving nonlinear evolution equations and obtain exact solutions that are applied to the science and engineering fields.

关键词： The exp(−ϕ(ξ))-expansion method The generalized Zakharov-Kuznetsov-Benjamin-Bona-Mahony nonlinear evolution equation Traveling wave solutions Solitary wave solutions

Analytical and Approximate Solutions for Complex Nonlinear Schr?dinger Equation via Generalized Auxiliary Equation and Numerical Schemes

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Communications in Theoretical Physics 2019年第11期71卷 1267-1274页

作者： mostafa M.A.khater Dian-Chen Lu Raghda A.M.Attia Mustafa Inc Department of Mathematics Faculty of ScienceJiangsu UniversityChina Science Faculty Firat University23119 ElazigTurkey

This article studies the performance of analytical, semi-analytical and numerical scheme on the complex nonlinear Schr¨odinger(NLS) equation. The generalized auxiliary equation method is surveyed to get the explicit wave solutions that are used to examine the semi-analytical and numerical solutions that are obtained by the Adomian decomposition method, and B-spline schemes(cubic, quantic, and septic). The complex NLS equation relates to many physical phenomena in different branches of science like a quantum state, fiber optics, and water waves. It describes the evolution of slowly varying packets of quasi-monochromatic waves, wave propagation, and the envelope of modulated wave groups, respectively. Moreover, it relates to Bose-Einstein condensates which is a state of matter of a dilute gas of bosons cooled to temperatures very close to absolute zero. Some of the obtained solutions are studied under specific conditions on the parameters to constitute and study the dynamical behavior of this model in two and three-dimensional.

关键词： complex NLS equation generalized auxiliary equation method adomian decomposition method B-splines schemes(cubic&quintic&septic)

Numerical solutions of nonlinear fractional Wu-Zhang system for water surface versus three approximate schemes

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Journal of Ocean Engineering and Science 2019年第2期4卷 144-148页

作者： mostafa M.A.khater Raghda A.M.Attia Dianchen Lu Department of Mathematics Faculty of ScienceJiangsu UniversityChina Department of Basic Science Higher technological institute 10 th of Ramadan cityEgypt

This paper examines the effects of three distinct numerical schemes(Adomian Decomposition,quintic&septic Spline methods)to investigate semi-analytical and approximate solutions on Wu-Zhang(ZW)*** describes the(1+1)-dimensional dispersive long wave in two horizontal directions on shallow *** ZW model is one of the fractional nonlinear partial differential *** derivatives properties are employed to convert the nonlinear fractional partial differential equation into an ordinary differential equation with integer order so as to obtain the approximate solutions for this *** solutions obtained for each technique were compared to reveal their relationship to their characteristics illustrated under the suitable choice of the parameters *** obtained solutions showed the power,easiness,and effectiveness of these methods on nonlinear partial differential equations.

关键词： Fractional nonlinear Wu-Zhang system Conformable fractional derivatives Numerical schemes.

Folded novel accurate analytical and semi-analytical solutions of a generalized Calogero–Bogoyavlenskii–Schiff equation

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Communications in Theoretical Physics 2021年第9期73卷 26-36页

作者： mostafa M A khater S K Elagan M A El-Shorbagy S H Alfalqi J F Alzaidi Nawal A Alshehri Department of Mathematics Faculty of ScienceJiangsu University212013ZhenjiangChina Department of Mathematics Obour High Institute For Engineering and Technology11828CairoEgypt Department of Mathematics Faculty of ScienceTaif University P.O.Box 11099Taif 21944Saudi Arabia Department of Mathematics College of Science and Humanities in Al-KharjPrince Sattam bin Abdulaziz UniversityAl-Kharj 11942Saudi Arabia Department of Basic Engineering Science Faculty of EngineeringMenoufia UniversityShebin El-Kom 32511Egypt Department of Mathematics Faculty of Science and ArtsMahayil Asir King Khalid UniversityAbhaSaudi Arabia

This paper studies the analytical and semi-analytic solutions of the generalized Calogero–Bogoyavlenskii–Schiff(CBS)*** model describes the(2+1)–dimensional interaction between Riemann-wave propagation along the y-axis and the x-axis *** extended simplest equation(ESE)method is applied to the model,and a variety of novel solitarywave solutions is *** solitary-wave solutions prove the dynamic behavior of soliton waves in *** accuracy of the obtained solution is verified using a variational iteration(VI)semi-analytical *** analysis and the match between the constructed analytical solution and the semi-analytical solution are sketched using various diagrams to show the accuracy of the solution we *** adopted scheme’s performance shows the effectiveness of the method and its ability to be applied to various nonlinear evolution equations.

关键词： generalized Calogero-Bogoyavlenskii-Schiff equation accurate analytical semianalytical solutions

与隐形眼镜相关的感染性角膜炎-埃及5年流行病学研究（英文）

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国际眼科杂志 2015年第10期15卷 1675-1679页

作者： Mohammad mostafa khater Mohammad Sameh El-Shorbagy Tanta大学医院眼科埃及tanta31111

目的:研究埃及Tanta大学医院与隐形眼镜相关的感染性角膜炎患者的不同流行病学特点,评估这类疾病各方面的特点,以提高患者对这类疾病的认识,找出可行的解决方案。方法:选取我院2009-01/2013-12期间在眼科门诊就诊的所有角膜炎患者仔细检... 详细信息

目的:研究埃及Tanta大学医院与隐形眼镜相关的感染性角膜炎患者的不同流行病学特点,评估这类疾病各方面的特点,以提高患者对这类疾病的认识,找出可行的解决方案。方法:选取我院2009-01/2013-12期间在眼科门诊就诊的所有角膜炎患者仔细检查,并对所有与隐形眼镜相关的感染性角膜炎患者进一步检查和调查。结果:本研究期间,总共108 496位有不同主诉的患者中,1463例(1.3%)患有不同形式的角膜炎,其中151例(0.1%)为隐形眼镜相关感染性角膜炎。结果发现患有隐形眼镜相关感染性角膜炎常见的年龄群<30岁,大多数是学生(64%),家庭人数多且较为拥挤,农村居民高于城市居民,患者采用户外水源及污水处理不卫生。从病史分析发现:隐形眼镜相关感染性角膜炎通常为彻夜使用,储存或者配戴不卫生,或者隐形眼镜来源不安全,例如化妆品商店和理发店。结膜囊微生物培养结果提示阳性率92%,阴性率8%。大多数培养阳性的病例是由细菌和真菌混合感染引起,共53例(38.1%),单纯细菌感染43例(30.9%),真菌31例(22.3%),阿米巴12例(8.6%)。结论:与隐形眼镜相关的感染性角膜炎常见于学生群体,与农村生活、户外供水、不卫生的污水处理等危险因素有关。彻夜配戴、储存或配戴不卫生及隐形眼镜来源不安全都可增加隐形眼镜相关感染性角膜炎的发病率。

关键词：隐形眼镜角膜溃疡感染性角膜炎

Bone marrow mesenchymal stem cell transplantation downregulates plasma level and the microglia expression of transforming growth factor β1 in the acute phase of cerebral cortex ischemia

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Chronic Diseases and Translational Medicine 2020年第4期6卷 270-280页

作者： Zhao-Hui Liang Jian-Juan Gu Wen-Xiu Yu Yun-Qian Guan mostafa khater Xiao-Bo Li Department of Neurology The Second Xiangya Hospital of Central South UniversityChangshaHunan 410011China Department of Neurology Northern Jiangsu People's HospitalClinical Medical School of Yangzhou UniversityYangzhouJiangsu 225001China Department of Obstetrics and Gynecology Northern Jiangsu People's HospitalClinical Medical School of Yangzhou UniversityYangzhouJiangsu 225001China Department of Cell Biology Beijing Institute of GeriatricsXuanwu HospitalCapital Medical UniversityBeijing 100053China Pharmacology and Toxicology Department Augusta UniversityGeorgia 30912USA

Background:Both bone marrow mesenchymal stem cell(BM-MSC)and transforming growth factor-β1(TGF-β1)have a strong anti-inflammatory capacity in *** their relationship has not been well *** this study,we investigated how intravenous BM-MSC transplantation in rats effected the expression of TGF-β148 h post cerebral ischemia,and we analyzed the main cells that produce TGF-β***:We used a distal middle cerebral artery occlusion(dMCAO)model in twenty Sprague-Dawley(SD)*** rats were randomly divided into two groups:the ischemic control group and the postischemic BM-MSC transplantation *** hour after the dMCAO model was established,the rats were injected in the tail vein with either 1 ml saline or 1×106 BM-MSCs suspended in 1 ml *** were used to detect TGF-β1 content in the brain infarct core area,striatum and the plasma at 48 h after cerebral *** staining of brain tissue sections for TGF-β1,Iba-1,CD68 and NeuN was performed to determine the number and the proportion of double stained cells and to detect possible TGF-β1 producing cells in the brain ***:Forty-eight hours after ischemia,the TGF-β1 content in the infarcted area of the BM-MSC transplantation group(23.94±4.48 pg/ml)was significantly lower than it was in the ischemic control group(34.18±4.32 pg/ml)(F=13.534,P=0.006).The TGF-β1 content in the rat plasma in the BM-MSC transplantation group(75.91±12.53 pg/ml)was significantly lower than it was in the ischemic control group(131.18±16.07 pg/ml)(F=36.779,P=0.0002),suggesting that after transplantation of BM-MSCs,TGF-β1 levels in the plasma decreased,but there was no significant change in the striatum *** staining showed that the total number of nucleated cells(1037.67±222.16 cells/mm2)in the infarcted area after transplantation was significantly higher than that in the ischemic control group(391.67±69.50 cells/mm2)(F=92.421,P<0.01);the number of TGF-β1+cells after transplan

关键词： Cerebral infarction Mesenchymal stem cell Transplantation Transforming growth factor-β1 Microglia

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