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Generalized and Improved(G′/G)-expansion method Combined with Jacobi elliptic equation

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Communications in Theoretical Physics 2014年第6期61卷 669-676页

作者： m.Ali Akbar Norhashidah Hj.mohd.Ali e.m.e.Zayed School of mathematical Sciences Universiti Sains Malaysia Department of Applied mathematics University of Rajshahi mathematics Department Faculty of Science Zagazig University

In this article, we propose an alternative approach of the generalized and improved （G＇/G）-expansion method and build some new exact traveling wave solutions of three nonlinear evolution equations, namely the Boiti- Leon-Pempinelle equation, the Pochhammer-Chree equations and the Painleve integrable Burgers equation with free parameters. When the free parameters receive particular values, solitary wave solutions are constructed from the traveling waves. We use the Jacob/elliptic equation as an auxiliary equation in place of the second order linear equation. It is established that the proposed algorithm offers a further influential mathematical tool for constructing exact solutions of nonlinear evolution equations.

关键词： Boiti-Leon-Pempinelle equation Painleve integrable burgers equation Pochhammer-Chree equa-tion (GI/G)-expansion method traveling wave solutions

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弱电理论及宇称破坏检验

自然杂志 1984年第5期 323-327+400页

作者： e.m.韩磊美国华盛顿大学文理学院院长著名理论物理学家教授

美国华盛顿大学文理学院院长,著名理论物理学家e.m.韩磊教授特为本刊撰写了《弱电理论及字称破坏检验》一文。韩磊教授不是从理论到理论,而是把实验放在十分重要的位置,他认为应从实验出发来检验理论。文章概括了多方面的实验结果,特别... 详细信息

美国华盛顿大学文理学院院长,著名理论物理学家e.m.韩磊教授特为本刊撰写了《弱电理论及字称破坏检验》一文。韩磊教授不是从理论到理论,而是把实验放在十分重要的位置,他认为应从实验出发来检验理论。文章概括了多方面的实验结果,特别是原子体系的实验。

关键词：温伯格角韩磊原子分子层子假设粒子夸克弱流中性流基本相互作用电磁相互作用宇称不守恒强子

Abundant exact Traveling Wave Solutions of Generalized Bretherton equation via Improved (G′/G)-expansion method

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Communications in Theoretical Physics 2012年第2期57卷 173-178页

作者： m.Ali Akbar Norhashidah Hj.mohd.Ali e.m.e.Zayed School of mathematical Sciences Universiti Sains MalaysiaMalaysia mathematics Department Faculty of ScienceZagazig UniversityZagazigEgypt

In this article, we construct abundant exact traveling wave solutions involving free parameters to the generalized Bretherton equation via the improved (G′/G)-expansion method. The traveling wave solutions are presented in te.m. of the trigonometric, the hyperbolic, and rational functions. When the parameters take special values, the solitary waves are derived from the traveling waves.

关键词： improved (G'/G)-expansion method travelling wave solutions the Bretherton equation nonlinearevolution equations

Aspect of the specialty metals potentials of pe.m.tites in western Oban massif,Se Nigeria:A preliminary geochemical approach

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作者： (美)e.m.马尔斯特罗姆

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Chinese Journal Of Geochemistry 2012年第4期31卷 355-361页

作者： Oden m.I. Igonor e.e. Department of Geology University of CalabarP.M.B.1115 CalabarNigeria Petra Prospectors Limited Nigeria

minerals in general and rare.m.tals in particular are of invaluable importance in the development and industrialization of any *** is true as they could affect a nation's national income,employment ratio,Gross National Product,and its entire *** study area(western Oban massif-Se Nigeria) was investigated for its specialty metals bearing potentials because of(1) its geology,which is similar to other specialty metals bearing areas of the world;(2) past works,which points to the area as a likely source of economic deposit of such metals;and(3) the soaring cost of these rare.m.tals in the light of recent upsurge in global information/telecommunication *** from the study,show that only cesium(Cs) and beryllium(Be) show minute signs or indications of enrichment if properly *** these.m.tals should be studied in details to ascertain their economic *** rocks are too deficient in the other rare.m.tals(lithium,zirconium,strontium,tantalite,niobium,tungsten,gallium,and chromium) to warrant further analysis.

关键词：特种金属尼日利亚地球化学方法电位伟晶岩稀有金属矿地块国民生产总值

Short-time Asymptotics of the Heat Kernel on Bounded Domain with Piecewise Smooth Boundary Conditions and Its Applications to an Ideal Gas

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Acta mathematicae Applicatae Sinica 2004年第2期20卷 215-230页

作者： e.m.e.ZAYeD mathematics Department Faculty of ScienceZagazig UniversityZagazigEgypt

The asymptotic expansion of the heat kernel Θ(t)=sum from ∞ to j=1 exp(-tλ_j) where {λ_j}_(j=1)~∞ are the eigen-values of the negative Laplacian -Δ_n=-sum from n to k=1((?))~2 in R^n(n=2 or 3) is studied for short-time t for a generalbounded domain Ω with a smooth boundary (?)Ω.In this paper,we consider the case of a finite number of theDirichlet conditions φ=0 on Γ_i (i=1,...,J) and the Ne.m.nn conditions (?)=0 on Γ_i (i=J+1,...,k) andthe Robin conditions ((?)+γ_i)φ=0 on Γ_i (i=k+1,...,m) where γ_i are piecewise smooth positive impedancefunctions,such that (?)Ω consists of a finite number of piecewise smooth components Γ_i(i=1,...,m) where(?)Ω=(?)Γ_*** construct the required asymptotics in the form of a power series over *** senior coefficients inthis series are specified as functionals of the ge.m.tric shape of the domain Ω.This result is applied to calculatethe one-particle partition function of a“special ideal gas”,i.e.,the set of non-interacting particles set up in abox with Dirichlet,Ne.m.nn and Robin boundary conditions for the appropriate wave *** the the.m.dynamic quantities for the ideal gas such as the internal energy,pressure and specific heat revealsthat these quantities alone are incapable of distinguishing between two different shapes of the *** se.m. to be intuitively clear because it is based on a limited information given by a one-particlepartition function;nevertheless,its formal theoretical motivation is of some interest.

关键词： Inverse problem heat kernel eigenvalues short-time asymptotics special ideal gas one-particle partition function

Remaining Phosphorus estimate Through multiple Regression Analysis

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Pedosphere 2006年第5期16卷 566-571页

作者： m.e.ALVeS A.LAVOReNTI Departamento de Ciencias exatas Escola Superior de Agriculture‘Luiz de Queiroz’-ESALQ/USPPiracicaba (SP) 13418-900 (Brazil)

The remaining phosphorus (Prem), P concentration that remains in solution after shaking soil with 0.01 mol L-1 CaCl2 containing 60μg mL-1 P, is a very useful index for studies related to the chemistry of variable charge soils. Although the Prem dete.m.nation is a simple procedure, the possibility of estimating accurate values of this index from easily and/or routinely dete.m.ned soil properties can be very useful for practical purposes. The present research evaluated the Prem estimation through multiple regression analysis in which routinely dete.m.ned soil chemical data, soil clay content and soil pH measured in 1 mol L-1 NaF (pHNaF) figured as Prem predictor variables. The Prem can be estimated with acceptable accuracy using the above.m.ntioned approach, and pHNaF not only substitutes for clay content as a predictor variable but also confers more accuracy to the Prem estimates.

关键词： anionic adsorption pHNaF pedotransfer functions tropical soils

Spinless particles in the field of unequal scalar vector Yukawa potentials

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Chinese Physics B 2013年第4期22卷 81-86页

作者： m.Hamzavi S.m.Ikhdair K.e.Thylwe Department of Science and engineering Abhar Branch Islamic Azad University Abhar Iran Department of electrical and electronic engineering Near East University 922022 Nicosia North Cyprus Mersin 10 Turkey Department of Physics Faculty of Science An-Najah National University Nablus West Bank Palestine KTH-mechanics Royal Institute of Technology S-100 44 Stockholm Sweden

We present analytical bound state solutions of the spin-zero Klein–Gordon （KG） particles in the field of unequal mix-ture of scalar and vector Yukawa potentials within the framework of the approximation scheme to the centrifugal potential te.m.for any arbitrary l-state. The approximate energy eigenvalues and unnormalized wave functions are obtained in closed forms using a simple shortcut of the Nikiforov–Uvarov （NU） method. Further, we solve the KG–Yukawa problem for its exact numerical energy eigenvalues via the amplitude phase （AP） method to test the accuracy of the present solutions found by using the NU method. Our numerical tests using energy calculations demonstrate the existence of inter-dimensional degeneracy amongst the energy states of the KG–Yukawa problem. The dependence of the energy on the dimension D is numerically discussed for spatial dimensions D = 2–6.

关键词： Klein–Gordon equation Yukawa potential D-dimensional space Nikiforov–Uvarov and amplitude phase.m.thods

Higher order corrections to asymptotic-de Sitter inflation

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Chinese Physics C 2017年第8期41卷 112-117页

作者： m.mohsenzadeh e.Yusofi Department of Physics Qom BranchIslamic Azad UniversityQomIran Department of Physics Ayatollah Amoli BranchIslamic Azad UniversityAmolMazandaranIrana School of Astronomy Institute for Research in Fundamental Sciences(IPM)P.O.Box 19395-5531TehranIran

Since trans-Planckian considerations can be associated with the re-definition of the initial vacuum, we investigate further the influence of trans-Planckian physics on the spectra produced by the initial quasi-de Sitter（d S） state during inflation. We use the asymptotic-d S mode to study the trans-Planckian correction of the power spectrum to the quasi-d S inflation. The obtained spectra consist of higher order corrections associated with the type of ge.m.try and harmonic te.m. sensitive to the fluctuations of space-time（or gravitational waves） during *** an important result, the amplitude of the power spectrum is dependent on the choice of c, i.e. the type of spacetime in the period of inflation. Also, the results are always valid for any asymptotic d S space-time and particularly coincide with the conventional results for d S and flat space-time.

关键词： initial state trans-Planckian effects inflation