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s.milarity Reduction of Nonlinear Partial Differential Equations

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Journal of Applied Mathematics.and Phys.cs 2014年第3期2卷 22-32页

作者： amnah s. al-Johani Department of Applied Mathematics College of Science Northern Borders University Arar Saudi Arabia

In this.work, the HB method is.extended to s.arch for s.milarity reduction of nonlinear partial differential equations. This.method is.generalized and will apply for a (2 + 1)-dimens.onal higher order Broer-Kaup s.s.e... 详细信息

关键词： s.milarity Reduction Exact s.lutions Nonlinear Partial Differential Equations

s.ochas.ic Os.illators.with Quadratic Nonlinearity Us.ng WHEP and HPM Methods

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American Journal of Computational Mathematics 2013年第3期3卷 185-194页

作者： amnah s. al-Johani Department of Applied Mathematics College of Science Northern Borders University Arar Saudi Arabia&College of Home Economics Northern Borders University Arar Saudi Arabia

In this.paper, quadratic nonlinear os.illators.under s.ochas.ic excitation are cons.dered. The Wiener-Hermite expans.on with perturbation (WHEP) method and the homotopy perturbation method (HPM) are us.d and compared. Different approximation orders.are cons.dered and s.atis.ical moments.are computed in the two methods. The two methods.s.ow efficiency in es.imating the s.ochas.ic res.ons. of the nonlinear differential equations.

关键词： Nonlinear s.ochas.ic Differential Equations Wiener-Hermite Expans.on WHEP Technique Homotopy Perturbation Method

s.mmetries.optimal s.s.em,exact and s.liton s.lutions.of(3+1)-dimens.onal Gardner-KP equation

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Journal of Ocean Engineering and s.ience 2024年第2期9卷 178-190页

作者： Amjad Hus.ain As.reen Anjum M.Junaid-U-Rehman Ilyas.Khan Mariam A.s.meh amnah s.al-Johani Department of Mathematics Quaid-I-Azam University 45320Islamabad 44000Pakistan Department of Mathematics College of Science Al-ZulfiMajmaah UniversityAl-MajmaahP.O Box 66Majmaah 11952Saudi Arabia Electrical Engineering Department Faculty of Engineering and TechnologyFuture University in EgyptNew Cairo 11845Egypt Mathematics.Department Faculty of ScienceUniversity of TabukTabukSaudi Arabia

In this.res.arch article,the(3+1)-dimens.onal nonlinear Gardner-Kadomts.v-Petvias.vili(Gardner-KP)equation which depicts.the nonlinear modulation of periodic waves.is.analyzed through the Lie group-theoretic *** the Lie invariance condition,we find the s.mmetry *** pro-pos.d model yields.eight-dimens.onal Lie ***,an optimal s.s.em of s.b-algebras.is.com-puted,and s.milarity reductions.are *** cons.dered nonlinear partial differential equation is.re-duced into ordinary differential equations.ODEs.by utilizing the s.milarity trans.ormation method(s.M),which has.the benefit of yielding a large number of accurate traveling wave *** ODEs.are further s.lved to get clos.d-form s.lutions.of the Gardner-KP equation in s.me cas.s.while in other cas.s.we us. the new auxiliary equation method to get its.s.liton *** evolution profiles.of the obtained s.lutions.are examined graphically under the appropriate s.lection of arbitrary parameters.

关键词： Gardner-KP equation Lie s.mmetry analys.s Optimal s.s.em New auxiliary equation method s.litary wave s.lutions

Higher-Order WHEP s.lutions.of Quadratic Nonlinear s.ochas.ic Os.illatory Equation

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Engineering（科研） 2013年第5期5卷 57-69页

作者： Mohamed A. El-Beltagy amnah s. al-Johani Department of Applied Mathematics College of Science Northern Borders University Arar KSA College of Home Economics Northern Borders University Arar KSA Department of Engineering Mathematics.& Phys.cs Engineering Faculty Cairo University Giza Egypt

This.paper introduces.higher-order s.lutions.of the quadratic nonlinear s.ochas.ic os.illatory equation. s.lutions.with different orders.and different number of corrections.are obtained with the WHEP technique which us.s.the WienerHermite expans.on and perturbation technique. The equivalent determinis.ic equations.are derived for each order and correction. The s.lution ens.mble average and variance are es.imated and compared for different orders. different number of corrections.and different s.rengths.of the nonlinearity. The s.lutions.are s.mulated us.ng s.mbolic computation s.ftware s.ch as.Mathematica. The comparis.ns.between different orders.and different number of corrections.s.ow the importance of higher-order and higher corrected WHEP s.lutions.for the nonlinear s.ochas.ic differential equations.

关键词： Os.illatory Equation Nonlinear Differential Equations s.ochas.ic Differential Equation Wiener-Hermite Expans.on Perturbation Technique

Infrared s.ectros.opy and Morphological As.es.ments.on the Nutritional Value of Prickly Pear Fruit

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光谱学与光谱分析 2021年第2期41卷 648-653页

作者： Moamen s.efat amnah Mals.haibani Mo hamed Nagaty Department of Chemis.ry College of ScienceTaif UniversityTaif21944Saudi Arabia Department of Phys.cal s.ort s.ience Princess Nourah bint Abdulrahman UniversityRiyadh13415-7132Saudi Arabia

The prickly pear fruit helps.in combating viral bas.d *** is.us.d to treat diabetes.and declared to pos.es. hypoglycemic *** is.als. record of the us.ge of the fruit in the olden days.as.a remedy for diabetes.lipid dis.rders.inflammation,ulcers.and pharmacologic s.de *** chemical compos.tion and nutritional values.of s.in,fles. and s.ed of prickly pear fruit were inves.igated and dis.us.ed on a dry weight *** infrared s.ectra as.well as.s.anning electron micros.opy(s.M)techniques.were us.d to identify the functional groups.of carbohydrates.amino acids.and *** infrared s.ectral data of all three(s.in,fles.,and s.eds.s.ecies.were recorded and as.igned to the pres.nce of dis.inguis. peaks.that referred to the three different s.gars.glucos.,fructos. and s.ccharos.)and cyclic aliphatic hydrocarbons.*** the other hand,the s.M is.a powerful tool to inves.igate the morphological features.of the *** as.ays.were examined on the s.rfaces.of s.in,fles. and s.ed branches.s.owing a s.all particle that tends.to form clus.ers.with different s.apes.compared to each *** Energy-dis.ers.ve X-ray s.ectros.opy(EDX)is.an analytical technique us.d for the elemental analys.s.or chemical characterization of a *** EDX s.ectral technique of the s.in,fles. and s.eds.were confirmed the pres.nce of different es.ential and us.ful elements.s.ch as.carbon,oxygen,magnes.um,calcium,potas.ium,s.lfur,aluminum,s.licon,chloride,and phos.horus.

关键词： Infrared s.ectros.opy s.M EDX Prickly pear fruit s.in Fles. s.ed

Preparation and s.ectros.opic of Vanadyl（Ⅱ） Vitamin D3 Amino Acid Mixed Complexes.as.Ins.lin Mimetic Drug

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光谱学与光谱分析 2019年第7期39卷 2316-2324页

作者： Enas.aljuhani amnah M.A.als.haibani A.M.El-Di damony N.Has.an s.meh Abo Taleb Moamen s.Refat Department of Chemis.ry Faculty of Applied ScienceUmm Al-Qura UniversityMakkahP.O.9168 Zip Code 21955Saudi Arabia Nutrition and Food s.iences.Dept. Home Economic CollegePrincess Nourah Bint Abdulrahman UniversityRiyadhSaudi Arabia Department of Chemis.ry Faculty of ScienceZagazig UniversityEgypt Department of Chemis.ry Faculty of SciencePort SaidPort Said UniversityEgypt Chemis.ry Department Faculty of ScienceTaif UniversityP.O.Box 888Al-HawiahTaif 21974Saudi Arabia

A new s.x intraperitoneal injection ins.lin-mimetic vanadyl(Ⅱ) compounds.[(VD3^-1)(VO^+2)(AAn^-1)](where(n=1~6);AA1=is.leucine, AA2=threonine, AA3=proline, AA4=phenylalanine, AA5=lys.ne and AA6=glutamine) were s.nthes.zed by the chemical reactions.between vitamin D3(VD3), VOs.4 and amino acids.AAn) with equal molar ratio 1∶1∶1 in neutralized media. The s.ructures.of thes. complexes.were elucidated by s.ectros.opic methods.like, infrared and s.lid reflectance s.ectros.opes. Magnetic moments.and electronic s.ectra reveal s.uare pyramid geometrical s.ructure of the complexes. The infrared s.ectra as.ignments.of thes. complexes.revealed that the chelation towards.vanadyl(Ⅳ) ions.exis.ed via deprotonation of the hydroxyl group of VD3 drug ligand and s. amino acids.act as.bidentate ligand via N-amino and O-carboxylate groups. The anti-diabetic efficiency of thes. complexes.were evaluated agains. s.reptozotocin induced diabetic male albino rats.

关键词： Ins.lin alternative Diabetes Drug VO^2+ ion Vitamin D3 Amino acid s.ectros.opic