Nonlinear Ritz Approximation for the Camassa-Holm Equation by Using the Modify Lyapunov-Schmidt method

hadeel G. Abd Ali; Mudhir A. Abdul Hussain

doi:10.21123/bsj.2023.6932

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Publication Date

Sun Oct 01 2023

Journal Name

Baghdad Science Journal

Volume

20

Issue Number

5

DOI

10.21123/bsj.2023.6932

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Nonlinear Ritz Approximation for the Camassa-Holm Equation by Using the Modify Lyapunov-Schmidt method

Bifurcation of Solutions

Benjamin-Bona-Mahony equation

Camassa-Holm equation

Caustic

Modify Lyapunov-Schmidt method.

hadeel G. Abd Ali

Mudhir A. Abdul Hussain

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In this work, the modified Lyapunov-Schmidt reduction is used to find a nonlinear Ritz approximation of Fredholm functional defined by the nonhomogeneous Camassa-Holm equation and Benjamin-Bona-Mahony. We introduced the modified Lyapunov-Schmidt reduction for nonhomogeneous problems when the dimension of the null space is equal to two. The nonlinear Ritz approximation for the nonhomogeneous Camassa-Holm equation has been found as a function of codimension twenty-four.

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Publication Date

Mon Jun 30 2014

Journal Name

Al-kindy College Medical Journal

Anal Fissure: Is it becoming a medical disorder?

Non-surgical treatment of anal fissure

fissure in ano

sphicterotomy

botulinum toxin in anal fissures

glyceryl trinitrate.

Chemical sphincteratomy

pharmacological sphincteratomy.

Ali

Kadhim

Serene , A.A

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An anal fissure which does not heal with conservative measures as sits baths and laxatives is a chronic anal fissure. Physiologically, it is the high resting tone of the internal anal sphincter that chiefly interferes with the healing process of these fissures. Until now, the gold standard treatment modality is surgery, either digital anal dilatation or lateral sphincterotomy. However, concerns have been raised about the incidence of faecal incontinence after surgery. Therefore, pharmacological means to treat chronic anal fissures have been explored.A Medline and pub med database search from 1986-2012 was conducted to perform a literature search for articles relating to the non-surgical treatment of chronic anal fissure.Pharmacological s

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Publication Date

Wed Nov 01 2017

Journal Name

Journal Of Economics And Administrative Sciences

Dry Canal in Iraq and Mutual Growth in International Economic Environment

Maritime Shipping

Dry Canal

High Growth Countries

Commodity Trade

Economic Feasibility

Economic Anthropology in Iraq

International Growth

Regional States of Iraq

سلام جبار

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In this paper, an attempt was made to measure and interpret the impact of several variables on global maritime transport, including: OECD industrial productions, high growth rates of some developing countries, and growth in world GDP. These variables contribute to higher rates of maritime transport revenues of 800 billion dollars annually; in the form of numerical sequences. The dry canal in Iraq was assumed to transfer 99 million tons of goods annually. This was made sure through the economic feasibility of the difference between maritime and land transport through railways. The effect of geographical and anthropological nature of Iraq on this project was studied too. Our findings indicated that the project will not drive growth

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Publication Date

Sun Feb 03 2019

Journal Name

Iraqi Journal Of Physics

Microscopic effective charges and quadrupole moments of sd-shell and sd-pf cross-shell nuclei with Z≥13

Effective charges and quadrupole moments of sd- and sdpf-shell isotopes (Z≥13): sd and sdpf- shell model

core-polarization effects.

A. H.

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Publication Date

Tue Mar 01 2022

Journal Name

Iraqi Journal Of Agricultural Sciences

CORRELATION OF TMPRSS2-ERG GENE FUSION STATUS WITH CLINICOPATHOLOGICAL CHARACTERISTICS IN PROSTATE CANCER OF IRAQI PATIENTS

The aim of this study was to establish the existence and interaction of TMPRSS2 – ERG gene fusion status with clinicopathological features of prostate cancer patients. This research consisted of 123 embedded formalin-fixed tissues obtained from the prostate tumor patients. The above gene fusion is detected through the technique of fluorescent in situ hybridization (FISH) by means of a triple color probe. Seven samples have not been scored due to technical difficulties and 46 patients have fusion (39.6%)

while the remaining (70) have not been seen with fusion. Of the 46 fusion-positive

17 (36%) were caused by ERG-translocation

of the other 29 (63%) were caused by the interstitial segment deletion between the two genes due to their sequential position. In order to find a substantial correlation between 116 patients (fusion took place in 46 and non-fusion in 70) with clinicopathological features

the following findings were calculated: Our findings recorded non-significant correlation at age

BMI and tumor size at which (P-value >0.05).While results showed significant association with: pathological T stage (P value = 0.011)

Gleason score (P value = 0.002)

perineural invasion (P value = 0.047) and PSA (P value = 0.033). The clinicopathological features which had a considerable correlation with fusion status are very important as they aid the doctors in prognosis and treatment of such tumor.

Ammar

Maha

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Publication Date

Mon Jan 01 2024

Journal Name

Journal Of The College Of Languages (jcl)

Negation marker in Standard Persian : a typological analysis based on Givon’s functional model: عامل نفی در زبان فارسی معیار: بررسی رده‌شناختی براساس مدل نقش‌ گرایی گیون

Keywords: Typological analysis

negation marker

syntactic negation

emphatic negation

field of negation

لید واژه‌ها: رده‌شناسی

عامل نفی

نفی نحوی

نفی تاکیدی

دامنه نفی

Haidar Naeem Hamza

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Abstract:

Typological analysis about the negation marker in different languages is one of the fields of research that has attracted much attention. In Persian language, this constituent has been analysed from different aspects. This study aimed to analyse different aspects of negation marker in the adjectives, the noun phrases and the verb phrases based on typological analysis. Many studies have been revealed that the negation in adjectives has shown lexically and morphologically. In the noun phrases, /hich/ has used as a negative marker necessarily marking the verb phrase as negative too. In the verb phrases, negation occurs morphologically by the addition of the prefix /n

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Publication Date

Sat Oct 27 2018

Journal Name

Journal Of Planner And Development

الوضع الجيو سياسي وانعكاساته على قطاع الإسكان في محافظة القدس (حالة دراسية بلدة العيزرية)

قطاع اإلسكان الوضع الجيو سياسي

التجمعات السكانية الفلسطينية

محافظة القدس

اتفاقية أوسلو.

Housing Sector

Geopolitical Situation

Palestinian Localities

Governorate of Jerusalem

Oslo Agreement

محمد

فيصل

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تهدف هذه الدراسة للتعرف على السياسات اإلاسرائيلية المتبعة على الارض والمتمثلة في االاستيطان
الاستعماري والطرق التفافية، ومصادرة الاراضي وجدار الضم والتوسع العنصري، بالاضافة إلى التصنيف
الاداري للمناطق في الضفة الغربية حسب ما جاء في اتفاقية أوسلو، والتي من شأنها التأثير على تلك
المناطق، وال سيما قطاع اإلسكان الذي يعد من أهم القطاعات التي تتر كب وبالتحديد في منطقة الدراسة،
وسوف تحاول هذه الدراسة تس

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Publication Date

Tue Oct 02 2018

Journal Name

Iraqi Journal Of Physics

Study of effect acidic solution (HCl) and (EP/Al2O3 & EP/ TiO2) hybrid on thermal conductivity of epoxy resin.

This research studies the effect of adding micro

nano and hybrid by ratio (1:1) of (Al2O3

TiO2) to epoxy resin on thermal conductivity before and after immersion in HCl acid for (14 day) with normality (0.3 N) at weight fraction (0.02

0.04

0.06

0.08) and thickness (6mm). The results of thermal conductivity reveled that epoxy reinforced by (Al2O3) and mixture (TiO2 Al2O3) increases with increasing the weight fraction

but the thermal conductivity (k) a values for micro and Nano (TiO2) decrease with increasing the weight fraction of reinforced

while the immersion in acidic solution (HCl) that the (k) values after immersion more than the value in before immersion.

Abdul Adeem Zaily

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This research studies the effect of adding micro, nano and hybrid by ratio (1:1) of (Al2O3,TiO2) to epoxy resin on thermal conductivity before and after immersion in HCl acid for (14 day) with normality (0.3 N) at weight fraction (0.02, 0.04, 0.06, 0.08) and thickness (6mm). The results of thermal conductivity reveled that epoxy reinforced by (Al2O3) and mixture (TiO2+Al2O3) increases with increasing the weight fraction, but the thermal conductivity (k) a values for micro and Nano (TiO2) decrease with increasing the weight fraction of reinforced, while the immersion in acidic solution (HCl) that the (k) values after immersion more than the value in before immersion.

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Publication Date

Sat Sep 01 2018

Journal Name

Polyhedron

Novel dichloro (bis {2-[1-(4-methylphenyl)-1H-1, 2, 3-triazol-4-yl-κN3] pyridine-κN}) metal (II) coordination compounds of seven transition metals (Mn, Fe, Co, Ni, Cu, Zn and Cd)

The 1

3-dipolar cycloaddition “click” reaction between an azide and an alkyne to give a 1

2

3-triazole was reported by Huisgen in 1961 [1]. In 2002 the Copper(I)-catalyzed Azide-Alkyne Cycloaddition (CuAAC) to prepare a 1

2

3-triazole was reported [2]

[3]. The existence of relatively basic nitrogen atoms in the 1

2

3-triazole rings

and the possibility of introducing additional donor groups in the substituents (Fig. 1)

made the CuAAC “click” reaction an attractive method to prepare differently substituted 1

2

3-triazoles. These compounds have been used as ligands to coordinate to various metal ions that display a range of applications such as in electrochemical and photochemical studies

in supramolecular chemistry

magnetism

metal-ion sensing and catalysis [4]. The reasons for the success of the “click” reaction

is that it is easy to carry out and is widely applicable. It is not affected by a variety of functional groups

and can be carried out with a variety of Cu(I) catalysts and solvents

including aqueous conditions. The Cu(I) catalysts overcome the high activation energy barrier of the non-catalyzed Huisgen reaction by changing the mechanism of the reaction. A large variety of copper catalysts can be used for the CuAAC reaction

on condition that the maximum concentration of Cu(I) species is generated during the reaction. The pre-catalyst can be a Cu(II) salt (usually CuSO4) together with a reducing agent (often sodium ascorbate) or a Cu(I) compound in the presence of a base or amine ligand and a reducing agent to prevent oxidation to Cu(II). Some strong oxidising cupric salts or complexes such as Cu(OAc)2 also work. The solvent is very flexible from organic to aqueous

with the most commonly used combination water + an alcohol (t-BuOH

MeOH or EtOH). The key role of the solvent or solvent mixture is to solubilize the substrates and Cu(I) catalyst in order to ensure rapid reactions. Such aqueous conditions are very useful for biochemical conjugations

as well as for organic syntheses. We recently reported on the synthesis of a series of differently substituted 1

2

3-triazole chromophores

the substituted 2-(1-phenyl-1H-1

2

3-triazol-4-yl)pyridine ligands [5]

see Fig. 2 middle

with substituents R = H (L1)

CH3 (L2)

OCH3 (L3)

COOH

F

Cl

CN

CF3

O(CH2)3CH3 and N(CH3)2. These versatile ligands were found to coordinate to various first row transition metals

such as manganese

cobalt and nickel [6]. Here we extend the series to include more first row transition metal(II) coordination compounds

iron

copper and zinc

as well as a second row transition metal(II) coordination compound

cadmium

containing the 2-(1-(4-methyl-phenyl)-1H-1

2

3-triazol-1-yl)pyridine chromophore (Fig. 2 right with R = CH3). This series of seven novel coordination compounds is the first series of pyridyl-triazole based transition metal coordination compounds where seven different transition metals are coordinated to the same 1

2

3-triazole chromophore

namely 2-(1-(4-methyl-phenyl)-1H-1

2

3-triazol-1-yl)pyridine.

Kinaan M

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Publication Date

Tue Jun 01 2021

Journal Name

Journal Of The College Of Languages (jcl)

National – cultural specificity of phraseological units: Национально - культурная специфика фразеологизмов

culturally specific features of phraseological units

Non-equivalent language components

culturally distinctive component

prototype.

национально-культурная специфика ФЕ. безэквивалентные ФЕ

культурно - маркированный ком-понент

прототип.

Jasim Talib

Talib Ibrahim

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        The present article studies the specific cultural features contained in phraseological units. The problem is approached through three different levels:

The modern linguistic meaning.

Lexical components of phraseological units.

The first variables of linguistic units.

  The paper emphasizes the gradual process of the cultural charge in the semantic structure of phraseological units.

       Наша Статья посвящена вопросам анализа национ-ально - культурной сп

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Publication Date

Fri Mar 01 2019

Journal Name

Applied Acoustics

Theoretical model of absorption coefficient of an inhomogeneous MPP absorber with multi-cavity depths

Micro-perforated panel (MPP) absorber has been known as an alternative absorber to classical porous material given its facile installation

long durability

environmental friendliness and attractive appearance. Extensive studies of MPP absorber proposing the improvement of its absorption frequency bandwidth have been published. This study presents a MPP absorber introduced with inhomogeneous perforations and with multi-cavity depths. The MPP is divided into two sub-area

where each area has different hole diameter

perforation ratio and a separated backed cavity depth. The acoustic impedance is modelled using electrical equivalent circuit and the absorption coefficient is calculated under normal-incidence of sound. It is found that the inhomogeneous MPP can have good bandwidth of absorption by designing the sub-MPP of smaller perforation ratio with large hole diameter and the one having the larger perforation ratio with smaller hole diameter. The absorption bandwidth can be conveniently controlled by adjusting the cavity depth of each sub-MPP. The results from the experimental work show good agreement with the theoretical model.

Ali Ibrahim

Azma

Roszaidi

Iwan

Al-Ameri

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1 2 3 4 ... 1985 1986 1987 1988