2 edition of **Solitons** found in the catalog.

Solitons

G. Eilenberger

- 363 Want to read
- 5 Currently reading

Published
**1981**
by Springer-Verlag in Berlin, New York
.

Written in English

- Solitons.

**Edition Notes**

Includes bibliographical references and index.

Statement | G. Eilenberger. |

Series | Springer series in solid-state sciences -- v. 19., Springer series in solid-state sciences -- 19. |

The Physical Object | |
---|---|

Pagination | viii, 192 p. : |

Number of Pages | 192 |

ID Numbers | |

Open Library | OL14206491M |

Topics covered include mathematical and numerical aspects of solitons, as well as applications of solitons to nuclear and particle physics, cosmology, and condensed-matter physics. The book should be of interest to researchers in any field in which solitons are encountered. 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 equations. Many books and more advanced Author: Donald M Witt.

An Introduction to Wave Equations and Solitons Richard S. Palais TheMorningsideCenterofMathematics ChineseAcademyofSciences Beijing Summer File Size: KB. Optical Multi-Bound Solitons provides extensive coverage of multi-bound solitons from the dynamics of their formation to their transmission over guided optical media. Appendices are included to supplement a number of essential definitions, mathematical representations, and derivations, making this book an ideal theoretical reference text as.

Solitons in Crystalline Processes presents the soliton theory applied to crystalline processes for the first time. Starting with critical anomalies in binary transitions, the soliton idea leads to nonlinear waves in crystals, constituting the basic objective in this s: 0. Book Description. The mathematical technique known as the Inverse Scattering Transform is introduced clearly, rather than rigorously, in an explanation of the generation and properties of solitons and their applications/5(6).

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This book seems to get recommended by courses on solitons, possibly because there are no good alternatives. The book is very old Solitons book in style, important results are relegated to exercises, important steps in proofs are skipped and key Cited by: Get this from a library.

Solitons in crystalline processes: statistical thermodynamics of structural phase transitions and mesoscopic disorder. [Minoru Fujimoto; Institute of Physics (Great Britain),] -- 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. 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 Solitons book discussing applications from solid state or atomic physics such as dislocations, excitations in spin chains, conducting polymers Cited by: 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. Solitons are waves that retain their form through obstacle and distance. Solitons can be found in hydrodynamics, nonlinear optics, plasma physics, and biology.

Optical solitons are solitary light waves that hold their form over an expansive interval. Conservation of this form creates an effective model for long distance voice and data transmission. This book is the first to Solitons book 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.

A 'soliton' is a localized nonlinear wave of permanent form which may interact strongly with other solitons so that when they separate after the interaction they regain their original forms.

This textbook is an account of the theory of solitons and of the diverse applications of the theory to nonlinear systems arising in the physical sciences.

The essence of the book is an introduction. 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.

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 Tranform.

Their aim is to present the essence of inverse scattering clearly, rather than 5/5(1). 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).

This book provides an up-to-date overview of mathematical theories and research results on solitons, presenting related mathematical methods and applications as well as numerical experiments. Different types of soliton equations are covered along with their dynamical behaviors and applications from physics, making the book an essential.

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 Tranform/5.

Solitons in Crystalline Processes presents the soliton theory applied to crystalline processes for the first time. Starting with critical anomalies in binary transitions, the soliton idea leads to nonlinear waves in crystals, constituting the basic objective in this : Institute of Physics Publishing.

Solitons play a fundamental role in ordering processes in crystals. In the first edition, the essential mechanism of structural changes where solitons play the fundamental role of boson statistics was detailed for irreversible thermodynamics in crystals; explaining not only structural transformations and mesoscopic disorder, but also the nonlinear mechanism of superconductivity.

Purchase Solitons, Volume 17 - 1st Edition. Print Book & E-Book. ISBNBook Edition: 1. The Crystal Lattice: Phonons, Solitons, Dislocations, Superlattices, Second Edition. Author(s): The aim of this successful book is to describe and analyse peculiarities of classical and quantum dynamics of a crystal as a spatially periodic structure.

In the second revised and updated edition, the author focuses on low-dimensional models of. Solitons in Crystalline Processes presents the soliton theory applied to crystalline processes for the first time. Starting with critical anomalies in binary transitions, the soliton idea leads to nonlinear waves in crystals, constituting the basic objective in this book.

This textbook is an introduction to the theory of solitons and its diverse applications to nonlinear systems that arise in the physical sciences. The authors explain the generation and properties of solitons, introducing the mathematical technique known as the Inverse Scattering by: 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 chaos.

The authors now include new material on biology and laser theory, and go on to discuss important recent developments such Cited by: Purchase Solitons and Instantons, Volume 15 - 1st Edition.

Print Book & E-Book. ISBNBook Edition: 1. There are two approaches in the study of differential equations of field theory. The first, finding closed-form solutions, works only for a narrow category of problems.

Written by a well-known active researcher, this book focuses on the second, which is to investigate solutions using tools from modern nonlinear analysis.Drawing on the award winning research of Carnegie Mellon’s David S.

Ricketts, Electrical Solitons Theory, Design, and Applications is the first text to focus specifically on KdV solitons in the nonlinear transmission line.

Divided into three parts, the book begins with the foundational theory for KdV solitons, presents the core underlying.Solitons in Biology What Is a Soliton? by Peter S. Lomdahl A bout thirty years ago a remarkable discovery was made here in Los Alamos.

Enrico Fermi, John Pasta, and Stan Ulam were calculating the flow of energy in a one.