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Solitons and particles /
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 t...
| Clasificación: | Libro Electrónico |
|---|---|
| Otros Autores: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Singapore :
World Scientific,
©1984.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- 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.
- 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.
- 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.
- 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*