Last edited by Dular
Thursday, August 6, 2020 | History

13 edition of Solitons in mathematics and physics found in the catalog.

Solitons in mathematics and physics

by Alan C. Newell

  • 139 Want to read
  • 36 Currently reading

Published by Society for Industrial and Applied Mathematics in Philadelphia, Pa .
Written in English

    Subjects:
  • Solitons,
  • Differential equations, Partial

  • Edition Notes

    Bibliography: p. 237-244.

    StatementAlan C. Newell.
    SeriesCBMS-NSF regional conference series in applied mathematics ;, 48
    Classifications
    LC ClassificationsQA927 .N46 1985
    The Physical Object
    Paginationxvi, 244 p. :
    Number of Pages244
    ID Numbers
    Open LibraryOL2874217M
    ISBN 100898711967
    LC Control Number84071051

    This book is a comprehensive survey of static topological solitons and their dynamical interactions. Particular emphasis is placed on the solitons which satisfy first-order Bogomolny equations. For these, the soliton dynamics can be investigated by finding the geodesics on the moduli space of static multi-soliton :// Part two deals with higher dimensional nonlinear theories. Part three focuses mainly on the solitons in three spatial dimensions. Based on the author’s lecture notes for a graduate-level course, this book is addressed at graduate students in theoretical physics and mathematics, as well as researchers interested in solitons.'

      CiteScore: ℹ CiteScore: CiteScore measures the average citations received per peer-reviewed document published in this title. CiteScore values are based on citation counts in a range of four years (e.g. ) to peer-reviewed documents (articles, reviews, conference papers, data papers and book chapters) published in the same four calendar years, divided by the number of ( views) Mathematical Methods of Physics - Wikibooks, A book on common techniques of applied mathematics that are often used in theoretical physics. It may be accessible to anyone with beginning undergraduate training in mathematics and physics. It is useful for anyone wishing to study advanced Physics. ( views) Theoretical Physics?category=

    Solitons and instantons play important roles both in pure and applied mathematics as well as in theoretical physics where they are related to the topological structure of the vacuum. Twistors are a useful tool for solving nonlinear differential equations and are useful for the study of the antiself-dual Yang-Mills equations and the Einstein :// Physics and mathematics of dispersion-managed optical solitons


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Solitons in mathematics and physics by Alan C. Newell Download PDF EPUB FB2

This is a book about solitons as they appear in mathematics and physics. It is an outgrowth of a set of lectures I gave in June as part of a series supported by the National Science Foundation through the Conference Board on the Mathematical Sciences (CBMS).

Genre/Form: Electronic books: Additional Physical Format: Online version: Newell, Alan C., Solitons in mathematics and physics. Philadelphia, Pa.: Society for This IMA Volume in Mathematics and its Applications SOLITONS IN PHYSICS, MATHEMATICS, AND NONLINEAR OPTICS is based on the proceedings of two workshops which were an integral part of the IMA program on NONLINEAR WAVES.

The workshops focussed on the main parts of the theory of solitons  › Physics › Optics & Lasers. A vner Friedman Willard Miller, Jr. PREFACE This volume includes some of the lectures given at two workshops, "Solitons in Physics and Mathematics" and "Solitons in Nonlinear Optics and Plasma Physics" held during the LM.

year on Nonlinear :// Solitons in mathematics and physics. [Alan C Newell] Home. WorldCat Home About WorldCat Help. Search. Search for Library Items Search for Lists Search for Book: All Authors / Contributors: Alan C Newell. Find more information about: ISBN: OCLC Number: A vner Friedman Willard Miller, Jr.

PREFACE This volume includes some of the lectures given at two workshops, "Solitons in Physics and Mathematics" and "Solitons in Nonlinear Optics and Plasma Physics" held during the LM. year on Nonlinear Waves. Since their discovery by Kruskal and Zabusky in the Solitons in mathematics and physics book 's, solitons have had a  › Books › Science & Math › Physics.

Solitons in mathematics and physics. by Alan C Newell (Author) Format: Print Book Publication year: Held by WUR Library. Check Availability. Read Alternate Summary/Abstract.

null. ://   Physics Today " an excellent book, achieving its goals both concisely and comprehensively." John G. Harris, Applied Mechanics Review Book Description. Other discussions consider the mathematics of solitons in more abstract settings, and there is a short discussion of numerical methods and results at the end of the book.

› Books › Science & Math › Mathematics. PHYSICS OF SOLITONS Solitons are waves with exceptional stability properties which appear in many book then presents the main theoretical methods and discusses a wide range of besides mathematics, the physics of solitons is also very fascinating, Various examples of such systems will be dealt with in this book, including localized states in fluids, chemical reactions on surfaces, neural networks, optical systems, granular systems, population models, and Bose-Einstein book should appeal to all physicists, mathematicians and electrical engineers interested in localization  › Physics › Complexity.

Solitons in Mathematics and Physics MATH Instructor: V.E. Zakharov Lecture 1 Simple waves in Hydrodynamics Let us consider the system of the Euler equation for the compressible ~zakharov/SolitonsLecturespdf.

TOPOLOGICAL SOLITONS Topological solitons occur in many nonlinear classical field theories. They are stable, particle-like objects, with finite mass and a smooth structure. Exam-ples are monopoles and Skyrmions, Ginzburg–Landau vortices and sigma-model lumps, and Yang–Mills instantons.

This book is a comprehensive survey ~volkov/ The soliton is a dramatic concept in nonlinear science. What makes this book unique in the treatment of this subject is its focus on the properties that make the soliton physically ubiquitous and the soliton equation mathematically miraculous.

Here, on the classical level, is the entity field theorists have been postulating for years: a local traveling wave pulse; a lump-like coherent He was awarded a Guggenheim Fellowship inthe John von Neumann Prize inand the Martin Kruskal Prize in He is a Regents Professor at the University of Arizona.

He is also the author of the WWI tale "The Choice", the play The Wake and the childrens book series "The Grand Adventures of Barney the Bear and his :// Solitons in Physics, Mathematics, and Nonlinear Optics by Peter J.

Olver,available at Book Depository with free delivery ://   In other words, dark solitons are generally chirped. Singular solitons are the singular solutions of several. nonlinear evolution equations. They are applicable in various areas of mathematics and physics.

Incet all [19] obtained the singular 1-solitonsolution to the the Modified Benjamin–Bona–   Solitons in Mathematics and Physics. Vladimir Zakharov. Course Content Theory of solitons is a relatively new and fast growing branch of mathematical physics.

Its development leads to progress in such areas of pure mathematics as spectral theory of differential operators, complex algebraic geometry, and classical theory of integrable :// In mathematics and physics, a soliton is a self-reinforcing solitary wave (a wave packet or pulse) that maintains its shape while it travels at constant speed.

Solitons are caused by a cancellation of nonlinear and dispersive effects in the medium. In this book, the authors discuss the interactions and theoretical and experimental challenges of This revised and updated second edition of a highly successful book is the only text at this level to embrace a universal approach to three major developments in classical physics; namely nonlinear waves, solitons and ://   They possess regular, stable, and well behaved solutions known as solitons and instantons.

These solutions play important roles in pure and applied mathematics as well as in theoretical physics where they describe configurations topologically different from ://. We believe that physics and mathematics can develop best in harmony and in close communication and cooper­ ation with each other and are sometimes inseparable.

With this goal in mind we tried to bring mathematicians and physicists together to talk and lecture to each other-this time in Solitons are waves with exceptional stability properties which appear in many areas of physics.

The basic properties of solitons are introduced here using examples from macroscopic physics (e.g. blood pressure pulses and fibre optical communications). The book then presents the main theoretical methods before discussing applications from solid state or atomic physics such as dislocations ?id=YKe1UZc_Qo8C.Find many great new & used options and get the best deals for Cambridge Monographs on Mathematical Physics Ser.: Topological and Non-Topological Solitons in Scalar Field Theories by Yakov M.

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