| Description |
1 online resource (xiii, 819 pages) : illustrations |
| Contents |
PREFACE; CONTENTS; 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 |
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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 |
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Solution by the Spectral-Transform Method of a Nonlinear Evolution Equation Including as a Special Case the Cylindrical KdV Equation. EXACT THEORY- OF TWO-DIMENSIONAL SELF-FOCUSING AND ONE-DIMENSIONALSELF-MODULATION OF WAVES IN NONLINEAR MEDIA; 1. THE DIRECT SCATTERING PROBLEM; 2. THE INVERSE SCATTERING PROBLEM; 3. N-SOLITON SOLUTIONS (EXPLICIT FORMULA); 4. N-SOLITON SOLUTIONS (ASYMPTOTIC FORM AS t ® ±Æ; 5. BOUND STATES AND MULTIPLE EIGENVALUES; 6. STABILITY OF SOLITONS; 7. QUASICLASSICAL APPROXIMATI; 8. CONSERVATION LAWS |
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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* |
| 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 |
| Bibliography |
Includes bibliographical references |
| Notes |
Print version record |
| Subject |
Solitons.
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Particles (Nuclear physics)
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Elementary Particles
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particle physics.
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SCIENCE -- Physics -- Nuclear.
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Particles (Nuclear physics)
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Solitons.
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Soliton
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Elementarteilchenphysik
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Aufsatzsammlung
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Nichtlineare Evolutionsgleichung
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Feldtheorie
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Solitons.
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Elementaire deeltjes.
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Particules (physique nucléaire)
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Solitons.
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| Form |
Electronic book
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| Author |
Rebbi, Claudio
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Soliani, G., 1935-
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| ISBN |
9789814412759 |
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9814412759 |
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