Last edited by Akinogami
Saturday, July 25, 2020 | History

11 edition of Introduction to soliton theory found in the catalog.

Introduction to soliton theory

applications to mechanics

by Ligia Munteanu

  • 23 Want to read
  • 15 Currently reading

Published by Kluwer Academic Publishers in Boston .
Written in English

    Subjects:
  • Solitons -- Mathematics,
  • Mathematical physics

  • Edition Notes

    Includes index.

    StatementLigia Munteanu, Stefania Donescu.
    SeriesFundamental theories of physics ;, v. 143
    ContributionsDonescu, Stefania.
    Classifications
    LC ClassificationsQC174.26.W28 M86 2004
    The Physical Object
    Paginationp. cm.
    ID Numbers
    Open LibraryOL3307519M
    ISBN 101402025769
    LC Control Number2004053306

    "Introduction to Non-Kerr Law Optical Solitons" is the first book devoted exclusively to optical soliton propagation in media that possesses non-Kerr law nonlinearities. After an introduction to the basic features of fiber-optic communications, the book outlines the nonlinear Schrodinger equation (NLSE), conserved quantities, and adiabatic. Skip to main content. LOGIN ; GET LIBRARY CARD ; GET EMAIL UPDATES ; SEARCH ; Home ; About Us.

    Drawing on the award winning research of Carnegie Mellon’s David S. Ricketts, Electrical Solitons Theory, Design, and Applications is the first text to focus specifically on KdV solitons in the nonlinear transmission line. Divided into three parts, the book begins with the foundational theory for KdV solitons, presents the core underlying. 3 Alex Kasman () Glimpses of Soliton Theory: The Algebra and Geometry of Nonlinear PDEs, AMS. The third book, which deals withessence and beautyof its subject in a very lucid manner Interestingly AMS has taken interest in KdV E and solitons, which is completely neglected by mathematicians in India. Prasad (IISc) KdV Equation and Soliton.

    Introduction to Soliton Theory: Applications to Mechanics (Fundamental Theories of Physics Book ) eBook: Munteanu, Ligia, Donescu, Stefania: : Kindle StoreAuthor: Ligia Munteanu, Stefania Donescu.   This book offers an elementary and unified introduction to the non-perturbative results obtained in relativistic quantum field theory based on classical soliton and instanton solutions. Such solutions are derived for a variety of models and classified by topological Edition: 1.


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Introduction to soliton theory by Ligia Munteanu Download PDF EPUB FB2

Solitons: An Introduction discusses the theory of solitons and its diverse applications to nonlinear systems that arise in the physical sciences. Drazin and Johnson explain the generation and properties of solitons, introducing the mathematical technique known as the Inverse Scattering by: Introduction to Soliton Theory: Applications to Mechanics (Fundamental Theories of Physics Book ) - Kindle edition by Ligia Munteanu, Stefania Donescu.

Download it once and read it on your Kindle device, PC, phones or tablets. Use features like bookmarks, note taking and highlighting while reading Introduction to Soliton Theory: Applications to Mechanics (Fundamental Theories of Physics. This monograph provides the application of soliton theory to solve certain problems selected from the fields of mechanics.

The work is based of the authors’ research, and on some specified, significant results existing in the literature. This monograph is planned to provide the application of the soliton theory to solve certain practical problems selected from the fields of solid mechanics, fluid mechanics and biomechanics.

The work is based mainly on the authors’ research carried out at their home institutes, and on some. The book presents an introduction to the theory of solitons, with emphasis on the background material and introductory concepts of current research trends.

Connections between a nonlinear partial differential equation that exhibits soliton behavior (the Korteweg-de Vries equation) and a linear eigenvalue problem are indicated, and one-dimensional scattering theory and inverse scattering Cited by: This monograph is planned to provide the application of the soliton theory to solve certain practical problems selected from the fields of solid mechanics, fluid mechanics and biomechanics.

The work is based mainly on the authors’ research carried out at their home institutes, and on some specified, significant results existing in the. An Explicit Example: The KdV 2-Soliton Collision Let's get specific, and I think it will be easier to see what I mean.

The KdV equation is a non-linear partial differential equation for a function u(x,t).If we think of the function of giving the height of the wave at time t and position x along a canal, then this equation does a pretty good job of describing what happens to the surface waves.

Introduction to Sets No exercises. Properties No exercises. The Axioms IExercise 1 (). Show that the set of all xsuch that x2Aand x–Bexists. Proof. Notice that xWx2Aand x–B D x2AWx–B: Then by the Axiom Schema of Comprehension, we know that such a set does exist.

t IExercise 2 (). Replace The Axiom of Existence by the File Size: KB. Solitons: An Introduction discusses the theory of solitons and its diverse applications to nonlinear systems that arise in the physical sciences.

Drazin and Johnson explain the generation and properties of solitons, introducing the mathematical technique known as the Inverse Scattering Tranform. Their aim is to present the essence of inverse scattering clearly, rather than rigorously or 5/5(1). Part 1. INTRODUCTION TO SOLITON THEORY 1.

MATHEMATICAL METHODS 1 Scope of the chapter 1 Scattering theory 1 Inverse scattering theory 12 Cnoidal method 17 Hirota method 25 Linear equivalence method (LEM) 31 Bäcklund transformation 39.

Get this from a library. Introduction to soliton theory: applications to mechanics. [Ligia Munteanu; Stefania Donescu] -- This monograph provides the application of soliton theory to solve certain problems selected from the fields of mechanics.

The work is based of. Get this from a library. Introduction to soliton theory: applications to mechanics. [Ligia Munteanu; Stefania Donescu] -- "This comprehensive study enables the readers to make connections between the soliton physical phenomenon and some partical, engineering problems."--Jacket.

The book is a systematic introduction to the Soliton Theory with an emphasis on its background and algebraic aspects. It is the first one devoted to the general matrix soliton equations, which are of great importance for the foundations and the applications.

This book gives a self-contained exposition of the theory of gravitational solitons and provides a comprehensive review of exact soliton solutions to Einstein's equations. The text begins with a detailed discussion of the extension of the Inverse Scattering Method to the theory of gravitation, starting with pure gravity and then extending.

Description: This course is intended as an introduction to the theory of solitons. In the last thirty years important progress was made in the understanding of properties of certain non-linear differential equations which arise in many different areas of physics, e.g., physics of plasma, solid state physics, biophysics, field theory etc.

Introduction to Soliton Theory: Applications to Mechanics (Fundamental Theories of Physics Book ) eBook: Ligia Munteanu, Stefania Donescu: : Kindle Store.

[T]his introduction to soliton theory is ideal for precisely the type of course for which it is intended - semester special topics class' or a 'capstone experience course.' One of the delightful bonuses found in the text is the list of sources for. The book begins with a brief introduction to the theory of the Kadomtsev–Petviashvili (KP) equation and its soliton solutions, called the KP solitons.

Owing to the nonlinearity in the KP equation, the KP solitons form very complex but interesting web-like patterns in two dimensions. Introduction to Soliton Theory: Applications to Mechanics: Munteanu, Ligia, Donescu, Stefania: Books - or: Ligia Munteanu, Stefania Donescu.

This engaging book is an excellent introduction into the wonderful world of soliton mechanics.—Zentralblatt Math “The book presents the development of the soliton theory, whose complete mathematical description is a refined branch of modern mathematics, as a fascinating story, full of historical collisions.

Buy Introduction to Soliton Theory: Applications to Mechanics (Fundamental Theories of Physics) by Munteanu, Ligia, Donescu, Stefania (ISBN: ) from Amazon's Book Store.

Everyday low prices and free delivery on eligible : Ligia Munteanu, Stefania Donescu.Book Fair Excursions ; Secondary School Reading Programmes ; Catch Them Young (CATHY) Prison Libraries ; Internet Learning Centre ; Special Projects ; Zaccheus Onumba Dibiaezue ; Our Team ; Board of Trustees ; Jobs and Internships ; ZODML Newsroom.Soliton theory is an important branch of applied mathematics and mathematical physics.

An active and productive field of research, it has important applications in fluid mechanics, nonlinear optics, classical and quantum fields theories etc. This book presents a broad view of soliton theory.