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

Thu Jun 30 2022

Journal Name

Iraqi Journal Of Laser

PDF Towards C+L Band Three-Mode (De)Multiplexer Using Subwavelength Grating (SWG) Technology

Zaid

Raad

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Abstract: Recently, there is increasing interest in using mode-division multipelexing (MDM) technique to enhace data rate transmission over multimode fibers. In this technique, each fiber mode is treated as a separate optical carrier to transfer its own data. This paper presents a broadband, compact, and low loss three-mode (de)multiplexer designed for C+L band using subwavelength grating (SWG) technology and built-in silicon-on-insulator SOI platform. SWG offers refractive index engineering for wider operating bandwidth and compact devices compared to conventional ones. The designed (de)multiplex deals with three modes (TE0, TE1, and TE2) and has a loss > -1 dB and crosstalk < −15 dB, and its operation c

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Publication Date

Sat Sep 03 2022

Journal Name

International Journal Of Health Sciences

Using Elisa and nested PCR for detection of the toxoplasmosis in milk and the influence of infection and some factors on milk composition in the Iraqi local and Shami goats

milk composition

T.gondii

nested PCR

Elisa

local goats

shami goats.

Entesar Hussain

Firas Rashad

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This study concluded detection of Toxoplasma gondii in milk, immunologically by using Elisa and nested PCR)nPCR (based on B1 gene, also to investigate the effect of toxoplasmosis, parity, breed and flock on some milk composition in the Iraqi local and Shami goats in the middle of Iraq. A total of 80 milk samples of the lactating goats were collected. Results of this study showed the prevalence of Toxoplasmosis was 21.25% and 28.75% by Elisa and nPCR respectively without significant differences. The sensitivity of Elisa was a low (30.43%) whereas the specificity was a high (82.45%). The degree of agreement estimated by Kappa coefficient revealed a slight agreement (0.14) between two methods. The results indicated that goats infected

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(1)

Publication Date

Fri Feb 01 2019

Journal Name

Journal Of Economics And Administrative Sciences

A Novel Invasive Weed Optimization Algorithm (IWO) by Whale Optimization Algorithm(WOA) to solve Large Scale Optimization Problems

الأمثلية

خوارزمية أمثلة الأعشاب الضارة IWO

خوارزمية أمثلة الحوت WOA

ذكاء الأسراب

الخوارزميات الهجينة.

Optimization

Invasive Weed Optimization algorithm (IWO)

Whale Optimization Algorithm (WOA)

Swarm intelligence

Hybrid Algorithms.

بان احمد

عبد الستار محمد

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Abstract

In this work, two algorithms of Metaheuristic algorithms were hybridized. The first is Invasive Weed Optimization algorithm (IWO) it is a numerical stochastic optimization algorithm and the second is Whale Optimization Algorithm (WOA) it is an algorithm based on the intelligence of swarms and community intelligence. Invasive Weed Optimization Algorithm (IWO) is an algorithm inspired by nature and specifically from the colonizing weeds behavior of weeds, first proposed in 2006 by Mehrabian and Lucas. Due to their strength and adaptability, weeds pose a serious threat to cultivated plants, making them a threat to the cultivation process. The behavior of these weeds has been simulated and used in Invas

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Publication Date

Fri Nov 21 2025

Journal Name

Journal Of Studies And Researches Of Sport Education

The effect of using the educational bag on the level of learning some offensive skills with the epee weapon

The effect of using the educational bag on the level of learning some offensive skills with the epee weaponDr. Lamia Hassan Al-Diwan

D. Fatima Abdel-Maliki

Dr. Kholoud Laith Abdel Karim2005 Technical and technological development has been increasing day after day and has included all areas of life

including the educational process

which has benefited from technologies such as (computer

video

and pictorial models) in introducing them as tools to aid the learning process. Educational packages have proven their effectiveness in education as they prepare learners with different areas of experience. Sensory audio-visual

through which the learner acquires different educational experiences through interaction

practice

participation

and communication with the data of the surrounding environment through the diversity of knowledge sources that suit his inclinations and needs. The research aimed to prepare an educational bag to teach some offensive skills in the epee weapon. And to find out the effect of using the proposed educational bag on the level of learning some offensive skills in the epee weapon. We hypothesized that the proposed educational package has a positive impact on the level of learning some offensive skills with the epee weapon. There were statistically significant differences in testing the level of learning some offensive skills with the epee weapon between the post-tests of the experimental and control groups

and in favor of the experimental group. The researchers used the experimental method to suit the nature of solving the research problem

and the research sample was chosen intentionally from the girls’ fencing club players (beginners) in the governorate. Basra for the year 2005. The number of players was (16)

which represented the entire study population. The experiment was conducted in the sports hall of the South Oil Sports Club in Basra. We concluded that the educational package has a positive impact on the level of learning some offensive skills in the epee weapon. There were statistically significant differences in the learning level test for some offensive skills in the epee weapon between the experimental group and the control group in the post-tests and in favor of the experimental group. We recommended the necessity of using the proposed educational curriculum to learn some offensive skills in the epee weapon in fencing lessons or in sports clubs. Adopting modern techniques in training

teaching or teaching fencing skills and searching for new methods. Conducting similar studies on other skills or different samples.Keywords: educational bag

offensive skills with an epee weapon

fencing game. Teaching methods. Basra Girl Sports ClubLamya Hassan Aldewan [email protected] of Basra - College of Education and Sports Scienceshttps://orcid.org/0000-0003-0377-6915 Keywords educational bag

offensive skills with an epee weapon

fencing game. Teaching methods. Basra Girl Sports Club

‏Lamyaa

Fatima

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Publication Date

Fri Feb 08 2019

Journal Name

Journal Of The College Of Education For Women

Minimum Spanning Tree Algorithm for Skin Cancer Image Object Detection

هند رستم

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This paper proposes a new method Object Detection in Skin Cancer Image, the minimum
spanning tree Detection descriptor (MST). This ObjectDetection descriptor builds on the
structure of the minimum spanning tree constructed on the targettraining set of Skin Cancer
Images only. The Skin Cancer Image Detection of test objects relies on their distances to the
closest edge of thattree. Our experimentsshow that the Minimum Spanning Tree (MST) performs
especially well in case of Fogginessimage problems and in highNoisespaces for Skin Cancer
Image.
The proposed method of Object Detection Skin Cancer Image wasimplemented and tested on
different Skin Cancer Images. We obtained very good results . The experiment showed that

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Publication Date

Sun Mar 01 2009

Journal Name

Journal Of Economics And Administrative Sciences

The philosophy of Total Quality Management for the environment

سعد

عائشة حمودي

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The Environmental Management System (EMS) is an important foundation for effective control of the organization's outstanding environmental performance. It applies standards for substantive review and provides a structure and a way to apply it in all aspects of th

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(2)

Publication Date

Fri Nov 21 2025

Journal Name

Iraqi Journal For Administrative Sciences

Using the Statistical Analysis to study the important reasons of the pollution in the Iraqi Marshlands Areas

Pollution

marsh environment

factorial analysis

Huraa

Omar Abdulmohsin

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The need for detection and investigation of the causes of pollution of the marshes and submit a statistical study evaluated accurately and submitted to the competent authorities and to achieve this goal was used to analyze the factorial analysis and then obtained the results from this analysis from a sample selected from marsh water pollutants which they were: (Electrical Conductivity: EC, Power of Hydrogen: PH, Temperature: T, Turbidity: TU, Total Dissolved Solids: TDS, Dissolved Oxygen: DO). The size of sample (44) sites has been withdrawn and examined in the laboratories of the Iraqi Ministry of Environment. By illustrating SPSS program) the results had been obtained. The most important recommendation was to increase the pumping of addit

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Publication Date

Sun Jun 05 2022

Journal Name

Sport Tk-revista Euroamericana De Ciencias Del Deporte

Level of professional pressures during the use of e-learning teaching method among teachers of the Faculties of Physical Education and Sports Sciences in Baghdad

Sahab

Najlaa Abbas

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(8)

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Publication Date

Mon Jun 25 2018

Journal Name

Oriental Journal Of Chemistry

Advancement and Validation of new Derivatives Spectrophotometric Method for Individual and Simultaneous Estimation of Diclofenac Sodium and Nicotinamide

Samar

Husam

Rokayia

Hamsa

Ruaa

...Show More Authors

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(8)

Publication Date

Tue May 15 2018

Pre‐low noise amplifier (LNA) filtering linearisation method for low‐power ultra‐wideband complementary metal oxide semiconductor LNA

Mohammed Nadhim

Farooq Abdulghafoor

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(3)

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