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Thursday, July 23, 2020 | History

2 edition of Glimpses of soliton theory found in the catalog.

Glimpses of soliton theory

Alex Kasman

Glimpses of soliton theory

the algebra and geometry of nonlinear PDEs

by Alex Kasman

  • 78 Want to read
  • 37 Currently reading

Published by American Mathematical Society in Providence, R.I .
Written in English


Edition Notes

Includes bibliographical references and index.

StatementAlex Kasman
SeriesStudent mathematical library -- v. 54
Classifications
LC ClassificationsQA377 .K367 2010
The Physical Object
Paginationp. cm.
ID Numbers
Open LibraryOL24538796M
ISBN 109780821852453
LC Control Number2010024820
OCLC/WorldCa645246111

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 . Thus, the book is particularly recommended to researchers who wish to be introduced to the nonlinear realm of gauge field theory." (Gabriella Tarantello, Mathematical Reviews, Issue m) "This book is concerned with the solition solutions of the elliptical partial differential equations which occur in quantum field theory in connection with.

The collision of two solitons – same direction – opposite directions Decomposition of an initial soliton Recurrence of a soliton profile 4. Conclusions References: 1. Bourg, DM, Excel Scientific and Engineering Cookbook. CA: O’Reilly Media Inc. 2. Devlin, K, The Millennium Problems. MA: Basic Books. 3. “The Soliton: A New Concept in Applied Science” by Alwyn C. Scott, F. Y. F. Chu, and David W. McLaughlin in Proceedings of the IEEE 61(): Good accounts of the subject, together with up-to-date lists of references, can also be found in many textbooks, including the following. G. L. Lamb, Jr. Elements of Soliton Theory.

Mingzhong Wu, in Solid State Physics, 5 Introduction to Solitons. A soliton is a large-amplitude pulse excitation that can propagate with constant shape and velocity in a nonlinear dispersive system. Zabusky and Kruskal numerically discovered solitons in in an attempt to solve the so-called Fermi–Pasta–Ulam paradox. 55 They used the term “solitron” initially on . Books about Soliton: Solitons: An Introduction (Cambridge Texts in Applied Mathematics) - by P. G. Drazin and R. S. Johnson; Glimpses of Soliton Theory: The Algebra and Geometry of Nonlinear Pdes (Student Mathematical Library) - by Alex Kasman; Wave Physics: Oscillations - Solitons - Chaos - by Stephen Nettel.


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Glimpses of soliton theory by Alex Kasman Download PDF EPUB FB2

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 Cited by: 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. Glimpses of Soliton Theory The Algebra and Geometry of Nonlinear PDEs Alex Kasman STUDENT MATHEMATICAL LIBRARY Volume 54 1 9/2/10 AM.

Glimpses of Soliton Theory by Alex Kasman,available at Book Depository with free delivery worldwide.5/5(2). Download Glimpses of KdV Equation and Soliton Theory book pdf free download link or read online here in PDF.

Read online Glimpses of KdV Equation and Soliton Theory book pdf free download link book now. All books are in clear copy here, and all files are secure so don't worry about it.

This site is like a library, you could find million book. Glimpses of Soliton Theory: The Algebra and Geometry of Nonlinear PDEs Alex Kasman Publication Year: ISBN ISBN This book provides the reader with a unique glimpse of the unity of mathematics and could form the basis for a self-study, one-semester special topics, or ""capstone"" course.|Solitons are explicit solutions to nonlinear partial differential equations exhibiting particle-like behavior.

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. Destination page number Search scope Search Text Search scope Search Text.

*The article is adapted by the author from the book Glimpses of Soliton Theory: The Algebra and Geometry of Nonlinear PDEs, with permis-sion of the publisher.

e-mail: [email protected] A brief history of solitons and the KdV equation* Alex Kasman Department of Mathematics, College of Charleston, Charleston, SCUSA.

This is a great book on the Soliton Theory. It is perfect for after an ODE or PDE class. The Chapter problems are insightful and the use of Mathematica to illustrate the behavior of the phenomena helps build an intuition for Solitons. Highly recommended as a first book to approach Solitons/5.

Solitons are explicit solutions to nonlinear partial differential equations. They are waves that behave in many respects like particles. The founding story of soliton theory, repeated so often it is now almost indistinguishable from myth, tells of John Scott Russell and his observation in of a peculiar solitary wave in a canal near Edinburgh.

Glimpses of Soliton Theory is a textbook (published by the American Mathematical Society in ) that aims to introduce the algebro-geometric structure of soliton equations to undergraduate math majors.

Solitons are solutions to certain very special differential equations that have applications in science and engineering. Aside from these practical applications, however, soliton theory.

For a book which focuses on the people and ideas without involving much explicit mathematics or physics, I strongly recommend Filippov's The Versatile Soliton.

My own textbook, Glimpses of Soliton Theory (see book cover shown at right) focuses on the underlying mathematical structure of soliton equations, but is written so that it would be.

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.

Purchase Topics in Soliton Theory, Volume - 1st Edition. Print Book & E-Book. ISBNThey became popular in early theory of solitons is attractive and exciting, it brings together many branches of mathematics and theoretical physics. Now there are a great number of books and review articles devoted to soliton problems.

In preparation “Glimpses of Soliton Theory. 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. This book is the first to provide a thorough overview of optical solitons. The main purpose of this book is to present the rapidly developing field of Spatial Optical Solitons starting from the basic concepts of light self-focusing and self-trapping.

It will introduce the fundamental concepts of the theory of nonlinear waves and solitons in non. Glimpses of soliton theory: the algebra and geometry of nonlinear PDEs Subject: Providence, RI, American Math.

Soc., Keywords: Signatur des Originals (Print): RB (54). Digitalisiert von der TIB, Hannover, Created Date: 8/29/ PM. BOOK REVIEWS CURRENT SCIENCE, VOL.NO. 12, 25 DECEMBER Glimpses of Soliton Theory: The Alge-bra and Geometry of Nonlinear PDEs, Vol.

Alex Kasman. American Mathe-matical Society, Providence, Rhode Island, USA. pages. Price: US$ An important revolution took place dur-ing the 20th century in two stages in.References to this book Nonlinear Wave Processes of Deformation in Solids I︠U︡riĭ K.

Ėngelʹbrekht, Jüri Engelbrecht, Juri Engel'brecht, JURIJ KUSTAVIC ENGELBRECHT, I︠U︡riĭ K. Ėngel brekht, Ûrij Kustavič Èngel'breht, Pitman Publishing Snippet view - Kasman’s book, Glimpses of Soliton Theory, aims to introduce the algebro-geometric structure of soliton equations to undergraduate math majors.

Math for Everyone is a series of math-related lectures, especially for undergraduates. The next Math for Everyone lecture, "All Tied Up in Knots" will be held on December 5, in Jordan Hall of.