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Tuesday, July 14, 2020 | History

5 edition of Basic methods of soliton theory found in the catalog.

Basic methods of soliton theory

by Ivan Cherednik

  • 16 Want to read
  • 23 Currently reading

Published by World Scientific in Singapore, River Edge, NJ .
Written in English

    Subjects:
  • Solitons -- Mathematics.,
  • Differential equations, Nonlinear -- Numerical solutions.,
  • Geometry, Algebraic.

  • Edition Notes

    Includes bibliographical references (p. 239-248) and index.

    StatementIvan Cherednik.
    SeriesAdvanced series in mathematical physics ;, v. 25
    Classifications
    LC ClassificationsQC174.26.W28 C44 1996
    The Physical Object
    Paginationxi, 250 p. ;
    Number of Pages250
    ID Numbers
    Open LibraryOL964387M
    ISBN 109810226438
    LC Control Number96000633

    Soliton. An isolated wave that propagates without dispersing its energy over larger and larger regions of space. In most of the scientific literature, the requirement that two solitons emerge unchanged from a collision is also added to the definition; otherwise the disturbance is termed a solitary wave. This book is intended primarily as a class-book for mathematical students and as an introduction to the advanced treatises dealing with the subjects of the different chapters, but since the analysis is kept as simple as possible, It will be useful for chemists and others who .

    Simply put, the inverse scattering transform is a nonlinear analog of the Fourier transform used for linear problems. Its value lies in the fact that it allows certain nonlinear problems to be treated by what are essentially linear methods. Chapters 1 and 2 of the book describe in detail the theory of the inverse scattering transform. Paperback. Condition: New. Revised ed. Language: English. Brand new Book. 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 indices.

    introduced in this book. This modelling process is stressed throughout the book and also discussed in Chapter 4. Based on the authors’ graduate course, this textbook gives an instructive view of the physics of solitons for students with a basic knowledge of general physics, and classical and quantum Size: KB. Soliton theory synonyms, Soliton theory pronunciation, Soliton theory translation, English dictionary definition of Soliton theory. n. A pulselike wave that can exist in nonlinear systems, does not obey the superposition principle, and does not disperse. n physics an isolated.


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Basic methods of soliton theory by Ivan Cherednik Download PDF EPUB FB2

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. Get this from a library. Basic methods of soliton theory. [Ivan Cherednik] -- In the 25 years of its existence Soliton Theory has drastically expanded our understanding of "integrability" and contributed a lot to the reunification of Mathematics and Physics in the range from.

Basic Methods Of Soliton Theory (Advanced Series in Mathematical Physics) Paperback – Aug by Ivan Cherednik (Author) › Visit Amazon's Ivan Cherednik Page. Find all the books, read about the author, and more.

See search results for this author. Basic methods of soliton theory book Are you an author. Cited by: 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 presents a broad view of soliton theory. It gives an expository survey of the most basic ideas and methods, such as physical background, inverse scattering, Bäcklund transformations, finite-dimensional completely integrable systems, symmetry, Kac-Moody algebra, solitons and differential geometry, numerical analysis for nonlinear Price: $ In the 25 years of its existence Soliton Theory has drastically expanded our understanding of “integrability” and contributed a lot to the reunification of Mathematics and Physics in the range from deep algebraic geometry and modern representation theory to quantum field theory and optical transmission book is a systematic introduction to the Soliton Theory with an emphasis on.

Basic methods of soliton theory. deep algebraic geometry and modern representation theory to quantum field theory and optical transmission 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 Author: I Cherednik.

This book presents a broad view of soliton theory. It gives an expository survey of the most basic ideas and methods, such as physical background, inverse scattering, Bäcklund transformations, finite-dimensional completely integrable systems, symmetry, Kac-Moody algebra, solitons and differential geometry, numerical analysis for nonlinear.

This book presents the foundations of the inverse scattering method and its applications to the theory of solitons in such a form as we understand it in Leningrad.

The concept of solitonwas introduced by Kruskal and Zabusky in A soliton (a solitary wave) is a localized particle-like solution.

If the address matches an existing account you will receive an email with instructions to reset your password. The main characteristic of this now classic exposition of the inverse scattering method and its applications to soliton theory is its consistent Hamiltonian approach to the theory.

The nonlinear Schrödinger equation, rather than the (more usual) KdV equation, is considered as a main example. BASIC METHODS OF SOLITON THEORY ADVANCED SERIES IN MATHEMATICAL PHYSICS Editors-in-Charge H Araki {RIMS, Kyoto) V G Kac (MIT) D H Phong (Columbia University) S-T Yau (Harvard University) Associate Editors L Alvarez-Gaume (CERN) J P Bourguignon (Ecole Polytechnique, Palaiseau) T Eguchi (University of Tokyo) B Julia (CNRS, Paris) F Wilczek (Institute for Advanced.

In field theory bion usually refers to the solution of the Born–Infeld model. The name appears to have been coined by G. Gibbons in order to distinguish this solution from the conventional soliton, understood as a regular, finite-energy (and usually stable) solution of a differential equation describing some physical system.

Basic Methods of Soliton Theory This text is an introduction to the mathematical soliton theory with an emphasis on algebraic aspects. It includes an exposition of its background, the recent developments and concrete Methods for the equations important to physics. The main characteristic of this classic exposition of the inverse scattering method and its applications to soliton theory is its consistent Hamiltonian approach to the theory.

The nonlinear Schrödinger equation is considered as a main example, forming the first part of the book. The Price: $ R. Hirota: “Direct Methods of Finding Exact Solutions of Nonlinear Evolution Equations”, in Bäcklund Transformations,ed.

by R.M. Miura, Lecture Notes in Mathematics (Springer, Berlin, Heidelberg, New York ) Vol Google ScholarCited by: The bilinear, or Hirota's direct, method was invented in the early s as an elementary means of constructing soliton solutions that avoided the use of the heavy machinery of the inverse scattering transform and was successfully used to construct the multisoliton solutions of many new equations.

In the s the deeper significance of the tools used in this method - Hirota derivatives and. Purchase Topics in Soliton Theory, Volume - 1st Edition. Print Book & E-Book.

ISBNThe main characteristic of this classic exposition of the inverse scattering method and its applications to soliton theory is its consistent Hamiltonian approach to the theory.

The nonlinear Schrödinger equation is considered as a main example, forming the first part of the book. The second part examines such fundamental models as the sine. This book presents a broad view of soliton theory. It gives an expository survey of the most basic ideas and methods, such as physical background, inverse scattering, Backlünd transformations, finite-dimensional completely integrable systems, symmetry, Kac-moody algebra, solitons and differential geometry, numerical analysis for nonlinear.

Buy Soliton Theory and Its Applications by Gu, Chaohao (ISBN: ) from Amazon's Book Store. Everyday low prices and free delivery on eligible orders.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.

This book presents a broad view of soliton theory. It gives an expository survey of the most basic ideas and methods, such as physical background, inverse scattering, Backlund transformations, finite-dimensional completely integrable systems, symmetry, Kac-moody algebra, solitons and differential geometry, numerical analysis for nonlinear waves Author: Chaohao Gu.