Solitons and particles / [edited by] Claudio Rebbi, Giulio Soliani.

Format:

Book

Contributor:

Rebbi, Claudio.

Soliani, G., 1935-

Language:

English

Subjects (All):

Solitons.

Particles (Nuclear physics).

Physical Description:

1 online resource (837 p.)

Edition:

1st ed.

Place of Publication:

[Singapore] : World Scientific, c1984.

Language Note:

English

Summary:

This is the most up-to-date book on solitons and is divided into two parts. Part 1: Detailed introductory lectures on different aspects of solitons plus lectures on the mathematical aspects on this subject. Part 2: Is a collection of reprints on mathematical theories of solitons, solitons in field theory, solitons as particles and their properties, especially topological and physical properties. This book is aimed at a wide audience of physicists and mathematicians. It is an ideal reference book for young researchers and graduate students.

Contents:

CONTENTS; PREFACE; INTRODUCTORY CHAPTERS; 1. INTRODUCTION; References for Section 1; 2. MATHEMATICAL THEORY OF SOLITONS: AN OUTLINE; 2.1 Introduction; 2-1 Introduction; 2-2 Introductory Bibliography Notes on the 1ST Method; 2-3 The Estabrook-Wahlquist Prolongation Method; 2-4 The Symmetry Approach; References for Section 2; References for Section 2 - Books; 3. SOLITONS IN PARTICLE PHYSICS:A GUIDE THROUGH THE LITERATURE; 3-1 One-dimensional Systems; 3-2 Vortices and Two-dimensional Systems; 3-3 Monopoles and Three-dimensional Solitons; 3-4 Four-dimensional Solitons: Instantons

References for Section 3References for Section 3 - Books and Reviews; REPRINTED PAPERS; INTERACTION OF ""SOLITONS"" IN A COLLISIONLESS PLASMA AND THE RECURRENCE OF INITIAL STATES; METHOD FOR SOLVING THE KORTEWEG-deVRIES EQUATION*; Integrals of Nonlinear Equations of Evolution and Solitary Waves*; Bibliography; Method for Solving the Sine-Gordon Equation*; General Derivation of Backlund Transformations from Inverse Scattering Problems*; ON RELATIVISTIC INVARIANT FORMULATION OF THE INVERSE SCATTERING TRANSFORM METHOD; 1. INTRODUCTION; 2. THE SINE-GORDON MODEL; 3. THE MASSIVE THIRRING MODEL

4. CONCLUSIONREFERENCES; Canonical Structure of Soliton Equations via Isospectral Eigenvalue Problems (*).; 1. - Introduction.; 2. - A canonical Hamiltonian structure.; 3. - Connection of the canonical structure of the soliton equations with the associated spectral problem.; 4. - Proof of the completeness conjecture in the 2 x2 Zakharov-Shabat spectral problem,; 5. - Applications; Coupled Nonlinear Evolution Equations Solvable Via the Inverse Spectral Transform, and Solitons that Come Back: the Boomeron.

Reiativistically invariant two-dimensional models of field theory which are integrable by means of the inverse scattering problem methodINTRODUCTION; 1. RELATIVISTICALLY INVARIANT INTEGRABLESY STEMS IN TWO-DIMENSIONAL SPACE-TIME; 2. PRINCIPAL CHiRAL FIELDS; 3. CHIRAL FIELDS AND THE REDUCTIONS PROBLEM; 4. THE METHOD OF THE INVERSE SCATTERING PROBLEM; 5. SOLITON SOLUTIONS; 6. INTEGRATION OF CHIRAL FIELDS ON GRASSMANN MANIFOLDS; CONCLUSION; Backlund Transformation for Solutions of the Korteweg-de Vries Equation*; Prolongation structures of nonlinear evolution equations*

I. INTRODUCTION

Notes:

Description based upon print version of record.

Includes bibliographical references.

ISBN:

9781283971508

128397150X

9789814412759

9814412759

OCLC:

827210222