Main Page
About Science
Faculty Deanship
Letter of Dean
Overview of Deanship
Vice Deans
Vice Dean
Letter of Vice-dean
Overview of Vice-deanship
Vice Dean for Graduate Studies
Letter of Vice Dean for Graduate Studies
Overview of Vice Dean of Postgraduate Studies
Research and Innovation Unit
Vice Dean for Girls Campus
Faculty Management
Letter of Managing Director-Boys Campus
Letter of Managing Director-Girls Campus
Overview of Management
Educational Affairs
Males Campus
Staff
Females Campus
Contact Us
Research
عربي
English
About
Admission
Academic
Research and Innovations
University Life
E-Services
Search
Faculty of Sciences
Document Details
Document Type
:
Thesis
Document Title
:
On Soliton in principal Chiral model
حول السلتون في نموذج كايرل الرئيسي
Subject
:
Mathematics
Document Language
:
Arabic
Abstract
:
The Chiral equation is a non-linear differential equation for two anti-Hermitian matrix valued functions $A$ and $B$ on two dimensional Lorentz space-time $\Bbb R^{1,1}.$ If $\xi$ and $\eta$ are light cone coordinates on $\Bbb R^{1,1},$ then the Chiral equation is $$2A_\eta=AB-BA \text{and} \ 2B_\xi=BA-AB.$$ It is developed as a generalization to an indefinite metric of harmonic maps into a unitary group. Roughly speaking, the solutions to the Chiral equation can be split into two components: the non-dispersive or `soliton component, and the dispersive component. Solitons are generated by meromorphic unitary loops, and these are examined by two Grassmannians, one to prove a decomposition into simple pole factors, and the other to give a geometric picture of the time-space evolution of solitons. In this thesis we discuss the theory of solitons in the principal Chiral equation. In Chapters 2 and 3, Morse functions are used to describe the behaviour of the solitons. In Chapter 4, much attention is paid to the study of generalised the idea of Hopf algebra for solitons
Supervisor
:
Dr. Faleh RajaaAllah Al-Sulami
Thesis Type
:
Master Thesis
Publishing Year
:
1425 AH
2004 AD
Co-Supervisor
:
Dr. Wafaa Alhasan Albarakati
Added Date
:
Wednesday, June 11, 2008
Researchers
Researcher Name (Arabic)
Researcher Name (English)
Researcher Type
Dr Grade
Email
سارة سالم الزيد
Al-Zaid, Sarah Salem
Researcher
Master
Files
File Name
Type
Description
23682.pdf
pdf
المستخلص
23683.pdf
pdf
Abstract
Back To Researches Page