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Zayed, E.M.E. The Korean Society for Computational and Applied M 2010 Journal of applied mathematics & informatics Vol.28 No.1
In the present paper, we construct the traveling wave solutions involving parameters of nonlinear evolution equations in the mathematical physics via the (3+1)- dimensional potential- YTSF equation, the (3+1)- dimensional generalized shallow water equation, the (3+1)- dimensional Kadomtsev- Petviashvili equation, the (3+1)- dimensional modified KdV-Zakharov- Kuznetsev equation and the (3+1)- dimensional Jimbo-Miwa equation by using a simple method which is called the ($\frac{G'}{G}$)- expansion method, where $G\;=\;G(\xi)$ satisfies a second order linear ordinary differential equation. When the parameters are taken special values, the solitary waves are derived from the travelling waves. The travelling wave solutions are expressed by hyperbolic, trigonometric and rational functions.
Kotoketene gem-Dithiols:Synthesis of Some Sulphur Heterocycles as Antimicrobial Agents
Zayed, Salem E.,Hussin, Ibrahim A. The Pharmaceutical Society of Korea 1992 Archives of Pharmacal Research Vol.15 No.1
A convenient method for the preparation of N-aryl thiazolines 4a b, 2, 2-dichlorothiophene 5, thiazolinones 6 and 8 and 2, 6-dihydrothiopyran 2-thione 9 derivatives is described. This depends on interaction of 3, 3-dimercapto-1(4-biphenyl)-2-propen-1-one 1 with dichloroethane, amines, trichloroacetylchloride, chloroacetamide, ethylene oxide and epichlorohydrin. Antimicrobial activity of the obtained products was studied.
Zayed, E.M.E. The Korean Society for Computational and Applied M 2012 Journal of applied mathematics & informatics Vol.30 No.1
In the present article, we construct the exact traveling wave solutions of nonlinear PDEs in the mathematical physics via the (1+1)-dimensional Boussinesq equation by using the following two methods: (i) A further improved ($\frac{G}{G}$) - expansion method, where $G=G({\xi})$ satisfies the auxiliary ordinary differential equation $[G^{\prime}({\xi})]^2=aG^2({\xi})+bG^4({\xi})+cG^6({\xi})$, where ${\xi}=x-Vt$ while $a$, $b$, $c$ and $V$ are constants. (ii) The well known extended tanh-function method. We show that some of the exact solutions obtained by these two methods are equivalent. Note that the first method (i) has not been used by anyone before which gives more exact solutions than the second method (ii).
Zayed, E.M.E.,El-Moneam, M.A. 한국전산응용수학회 2006 Journal of applied mathematics & informatics Vol.22 No.1
The main objective of this paper is to study the boundedness character, the periodic character and the global stability of the positive solutions of the following difference equation $x_{n+1}=\frac{{\alpha}x_n+{\beta}x_{n-1}+{\gamma}x_{n-2}+{\delta}x_{n-3}}{Ax_n+Bx_{n-1}+Cx_{n-2}+Dx{n-3}}$, n=0, 1, 1, ... where the coefficients A, B, C, D, ${\alpha},\;{\beta},\;{\gamma},\;{\delta}$ and the initial conditions x-3, x-2, x-1, x0 are arbitrary positive real numbers.
Zayed, E.M.E. 한국전산응용수학회 2003 Journal of applied mathematics & informatics Vol.12 No.1
This paper deals with the very interesting problem about the influence of piecewise smooth boundary conditions on the distribution of the eigenvalues of the negative Laplacian in R$^3$. The asymptotic expansion of the trace of the wave operator (equation omitted) for small |t| and i=√-1, where (equation omitted) are the eigenvalues of the negative Laplacian (equation omitted) in the (x$^1$, x$^2$, x$^3$)-space, is studied for an annular vibrating membrane $\Omega$ in R$^3$together with its smooth inner boundary surface S$_1$and its smooth outer boundary surface S$_2$. In the present paper, a finite number of Dirichlet, Neumann and Robin boundary conditions on the piecewise smooth components (equation omitted)(i = 1,...,m) of S$_1$and on the piecewise smooth components (equation omitted)(i = m +1,...,n) of S$_2$such that S$_1$= (equation omitted) and S$_2$= (equation omitted) are considered. The basic problem is to extract information on the geometry of the annular vibrating membrane $\Omega$ from complete knowledge of its eigenvalues by analysing the asymptotic expansions of the spectral function (equation omitted) for small |t|.
Zayed, E.M.E. The Korean Society for Computational and Applied M 2011 Journal of applied mathematics & informatics Vol.29 No.1
In this article, we construct exact traveling wave solutions for nonlinear PDEs in mathematical physics via the (1+1)- dimensional combined Korteweg- de Vries and modified Korteweg- de Vries (KdV-mKdV) equation, the (1+1)- dimensional compouned Korteweg- de Vries Burgers (KdVB) equation, the (2+1)- dimensional cubic Klien- Gordon (cKG) equation, the Generalized Zakharov- Kuznetsov- Bonjanmin- Bona Mahony (GZK-BBM) equation and the modified Korteweg- de Vries - Zakharov- Kuznetsov (mKdV-ZK) equation, by using the (($\frac{G'}{G}$) -expansion method combined with the Riccati equation, where G = $G({\xi})$ satisfies the Riccati equation $G'({\xi})=A+BG^2$ and A, B are arbitrary constants.
Ziziphus spina-christi based bio-synthesis of Ag nanoparticles
Mervat F. Zayed,Wael H. Eisa,Yasser K. Abdel-Moneam,Salah M. El-kousy,Ahmed Atia 한국공업화학회 2015 Journal of Industrial and Engineering Chemistry Vol.23 No.-
The bio-production of silver nanoparticles (Ag NPs) using Ziziphus spina-christi extract was studied as a novel, rapid, low-cost and eco-friendly route. The impact of experimental factors, such as the extract quantity, precursor concentration and pH on the size and size distribution of Ag NPs, was studied with the aid of UV–vis spectrophotometer and transmission electron microscope (TEM). The FTIR analysis was carried out to identify the functional groups in Ag NPs. The as-synthesized Ag NPs was used as a catalyst for the reduction of 4-nitrophenol (4-NP) to 4-aminophenol (4-AP) in the presence of NaBH4.
E.M.E. Zayed 한국전산응용수학회 2011 Journal of applied mathematics & informatics Vol.29 No.1
In this article, we construct exact traveling wave solutions for nonlinear PDEs in mathematical physics via the (1+1)- dimensional combined Korteweg- de Vries and modified Korteweg- de Vries (KdV-mKdV) equation, the (1+1)- dimensional compouned Korteweg- de Vries Burgers (KdVB) equation, the (2+1)- dimensional cubic Klien- Gordon (cKG) equation , the Generalized Zakharov- Kuznetsov- Bonjanmin- Bona Mahony (GZK-BBM) equation and the modified Korteweg- de Vries- Zakharov- Kuznetsov (mKdV-ZK) equation, by using the (G'/G)-expansion method combined with the Riccati equation, where G = G(ξ) satisfies the Riccati equation G'(ξ) = A +BG^2 and A, B are arbitrary constants.
E. M. E. Zayed 한국전산응용수학회 2010 Journal of applied mathematics & informatics Vol.28 No.1
In the present paper, we construct the traveling wave solutions involving parameters of nonlinear evolution equations in the mathematical physics via the (3+1)- dimensional potential- YTSF equation, the (3+1)-dimensional generalized shallow water equation, the (3+1)- dimensional Kadomtsev- Petviashvili equation, the (3+1)- dimensional modified KdVZakharov-Kuznetsev equation and the (3+1)- dimensional Jimbo-Miwa equation by using a simple method which is called the (G/G)− expansion method, where G = G() satisfies a second order linear ordinary differential equation . When the parameters are taken special values, the solitary waves are derived from the travelling waves. The travelling wave solutions are expressed by hyperbolic, trigonometric and rational functions.
On the rational recursive sequence
E. M. E. Zayed,M. A. EL-Moneam 한국전산응용수학회 2006 Journal of applied mathematics & informatics Vol.22 No.1-2
The main objective of this paper is to study the boundedness character, the periodic character and the global stability of the positive solutions of the following difference equation xn+1 = xn + xn−1 + xn−2 + xn−3 Axn + Bxn−1 + Cxn−2 + Dxn−3 , n = 0, 1, 2, ..... where the coefficients A,B,C,D, , , , , and the initial conditions x−3, x−2, x−1, x0 are arbitrary positive real numbers.