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Sunday, May 17, 2020 | History

7 edition of Topics in soliton theory found in the catalog.

Topics in soliton theory

by Robert Wayne Carroll

  • 243 Want to read
  • 21 Currently reading

Published by North-Holland, Distributors for the U.S. and Canada, Elsevier Science Pub. Co. in Amsterdam, New York, New York, N.Y., U.S.A .
Written in English

    Subjects:
  • Solitons -- Mathematics.,
  • Mathematical physics.

  • Edition Notes

    Includes bibliographical references (p. 397-419) and index.

    StatementRobert W. Carroll.
    SeriesNorth-Holland mathematics studies ;, 167
    Classifications
    LC ClassificationsQC174.26.W28 C37 1991
    The Physical Object
    Paginationxii, 428 p. :
    Number of Pages428
    ID Numbers
    Open LibraryOL1556334M
    ISBN 100444888691
    LC Control Number91036763

    Book lists and recommendations for primary school curriculum topics. Search by subject, key stage or topic. "Solitons and Chaos" is a response to the growing interest in systems exhibiting these two complementary manifestations of nonlinearity. The papers cover a wide range of topics but share common mathematical notions and investigation techniques. An introductory note on eight concepts.

    Srednicki's book seems like an obvious next step after reading much of Ryder's book Quantum Field Theory, especially since both books employ the Feynman integral approach to quantum field theory. One topic that is addressed by Srednicki that many QTF books ignore or gloss over is that of the dotted and undotted spinor by: Solitons are common in the natural world. Your pulse is a soliton, and soliton theory may also explain the behavior of tsunamis. Credit: National Institute of Standards and Technology.

    In this book, the authors discuss the interactions and theoretical and experimental challenges of solitons. Topics include soliton motion of electrons and its physical properties in coupled electron-phonon systems and ionic crystals; soliton excitations and its experimental evidence in molecular crystals; shapes and dynamics of semi-discrete. Abstract: These lectures cover aspects of solitons with focus on applications to the quantum dynamics of supersymmetric gauge theories and string theory. The lectures consist of four sections, each dealing with a different soliton. We start with instantons and work down in co-dimension to monopoles, vortices and, eventually, domain walls.


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Topics in soliton theory by Robert Wayne Carroll Download PDF EPUB FB2

Some important topics covered in this book include policy reforms and economic integration in South Asia, comparisons between South Asia (mainly India) and China, and economic linkages between South Asia and East Asia including the possibility of an integrated Pan-Asia similar to the European Union.

When soliton theory, based on water waves, plasmas, fiber optics etc., was developing in the era it seemed that perhaps KdV (and a few other equations) were really rather special in the set. Solitons (Topics in Current Physics) by Bullough (Author) ISBN Format: Hardcover.

Systems and Algebraic Methods. Orbits of the Vacuum. AKNS Systems. Some Lie Theoretic Methods. The Hirota Bilinear Identity. Algebraic Curves and KP. Introductory Sato Theory. Physics. Holonomic Quantum Fields. Ising Model and Bose Gas. Some remarks on 2-D Quantum Gravity and KdV.

Conformal Field Theory. More on Conformal Field Theory and Tau Functions. Topics in Soliton Theory and Exactly Solvable Nonlinear Equations: Proceedings of the Conference on Nonlinear Evolution Equations, Solitons and the Inverse Scattering Transform M.

Ablowitz, B. Fuchssteiner and. Get this from a library. Topics in soliton theory. [Robert W Carroll] -- When soliton theory, based on water waves, plasmas, fiber optics etc., was developing in the era it seemed that perhaps KdV (and a few other equations) were really rather special in the set.

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Topics in soliton theory and exactly solvable nonlinear equations: proceedings of the Conference on Nonlinear Evolution Equations, Solitons and the Inverse Scattering Transform, Oberwolfach, Germany, July August 2, in. [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.

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 waves, and gravitational solitons.

In general, a soliton wave is a nonlinear localized wave possessing a particle-like nature that maintaining its shape during propagation even after an elastic collision with another soliton wave.

Topics in soliton theory and exactly solvable nonlinear equations: proceedings of the Conference on Nonlinear Evolution Equations, Solitons and the Inverse Scattering Transform, Oberwolfach, Germany, July August 2,   Glimpses of Soliton Theory addresses some of the hidden mathematical connections in soliton theory which have been revealed over the last half-century.

It aims to convince the reader that, like the mirrors and hidden pockets used by magicians, the underlying algebro-geometric structure of soliton equations provides an elegant and surprisingly simple explanation of something seemingly Cited by: Main goal of this note is to show the appropriate mathematics to a student of physics, roughly familiar with all classes of theoretical physics except for quantum field theory.

Topics covered includes: Newtonian mechanics, Lagrangian mechanics, Classical. Topics Mathematics (general) *immediately available upon purchase as print book shipments may be delayed due to the COVID crisis. ebook access is temporary. 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: The dissipative soliton concept is a fundamental extension of the concept of solitons in conservative and integrable systems.

It includes ideas from three major sources, namely standard soliton theory developed since the s, nonlinear dynamics theory, and Brand: Springer-Verlag Berlin Heidelberg.

Solitons in Crystalline Processes is an introduction to the statistical thermodynamics of phase transitions in crystallized solids.

This book is written as an introductory treatise with respect to the soliton concept, from structural transitions where the crystal symmetry changes, to magnets and superconductors, describing the role of nonlinear.

In this classic book, the concept of the soliton is traced from the beginning of the last century to modern times, with recent applications in biology, oceanography, solid state physics, electronics, elementary particle physics, and cosmology.

The Versatile Soliton is an appropriate title indeed. 92 Solitons and Monopoles (84) 93 Instantons and Theta Vacua (92) theory. In this book, I have tried to make the subject as accessible to beginners listed particular books that I think could be helpful on specific topics in Reference Notes at the end of some of the sections.

This textbook (like all finite textbooks) has a. We review the history of the soliton, since the first recorded observation of the ‘great solitary wave’ by Russell inas a means of developing the mathematical properties of a large class of solvable nonlinear evolution equations.

This class embraces, amongst others, the Korteweg-de Vries, sine-Gordon, and nonlinear Schrödinger Cited by:. Solitons in crystalline processes: statistical thermodynamics of structural phase transitions and mesoscopic disorder Author: Minoru Fujimoto ; Institute of Physics (Great Britain).The book begins with a history of the soliton from its first sighting to the discovery of the inverse scattering method and recent ideas on the algebraic structure of soliton equations.

Chapter 2 focuses on the universal nature of these equations and how and why they arise in physical and engineering contexts as asymptotic solvability conditions.English, Book edition: Topics in soliton theory and exactly solvable nonlinear equations: proceedings of the Conference on Nonlinear Evolution Equations, Solitons and the Inverse Scattering Transform, Oberwolfach, Germany, July August 2, / edited by .