Important Developments in Soliton Theory
Title | Important Developments in Soliton Theory PDF eBook |
Author | A.S. Fokas |
Publisher | Springer Science & Business Media |
Pages | 563 |
Release | 2012-12-06 |
Genre | Science |
ISBN | 3642580459 |
In the last ten to fifteen years there have been many important developments in the theory of integrable equations. This period is marked in particular by the strong impact of soliton theory in many diverse areas of mathematics and physics; for example, algebraic geometry (the solution of the Schottky problem), group theory (the discovery of quantum groups), topology (the connection of Jones polynomials with integrable models), and quantum gravity (the connection of the KdV with matrix models). This is the first book to present a comprehensive overview of these developments. Numbered among the authors are many of the most prominent researchers in the field.
Important Developments in Soliton Theory
Title | Important Developments in Soliton Theory PDF eBook |
Author | A. S. Fokas |
Publisher | Springer Verlag |
Pages | 559 |
Release | 1993 |
Genre | Differential equations |
ISBN | 9780387559131 |
Soliton Theory and Its Applications
Title | Soliton Theory and Its Applications PDF eBook |
Author | Chaohao Gu |
Publisher | Springer Science & Business Media |
Pages | 414 |
Release | 2013-03-14 |
Genre | Mathematics |
ISBN | 3662031027 |
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. 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 waves, and gravitational solitons. Besides the essential points of the theory, several applications are sketched and some recent developments, partly by the authors and their collaborators, are presented.
Solitons
Title | Solitons PDF eBook |
Author | Muthusamy Lakshmanan |
Publisher | Springer Science & Business Media |
Pages | 377 |
Release | 2012-12-06 |
Genre | Science |
ISBN | 3642731937 |
A good deal of the material presented in this book has been prepared by top experts in the field lecturing in January 1987 at the Winter School on Solitons in Tiruchirapalli,India. The lectures begin at an elementary level but go on to include even the most recent developments in the field. The book makes a handy introduction to the various facets of the soliton concept, and will be useful both to newcomers to the field and to researchers who are interested in developments in new branches of physics and mathematics.
Recent Developments in Soliton Theory
Title | Recent Developments in Soliton Theory PDF eBook |
Author | Junkichi Satsuma |
Publisher | |
Pages | 269 |
Release | 1988 |
Genre | Solitons |
ISBN |
Soliton Theory
Title | Soliton Theory PDF eBook |
Author | Allan P. Fordy |
Publisher | Manchester University Press |
Pages | 472 |
Release | 1990 |
Genre | Evolution equations, Nonlinear |
ISBN | 9780719014918 |
A coherent introduction to the complete range of soliton theory including Hirota's method and Backlund transformations. Details physical applications of soliton theory with chapters on the peculiar wave patterns of the Andaman Sea, atmospheric phenomena, general relativity and Davydov solitons. Contains testing for full integrability, a discussion of the Painlevé technique, symmetries and conservation law.
Nonlinear Waves, Solitons and Chaos
Title | Nonlinear Waves, Solitons and Chaos PDF eBook |
Author | Eryk Infeld |
Publisher | Cambridge University Press |
Pages | 416 |
Release | 2000-07-13 |
Genre | Mathematics |
ISBN | 9780521635578 |
The second edition of a highly successful book on nonlinear waves, solitons and chaos.