| 中文摘要 | 第1-6页 |
| Abstract | 第6-8页 |
| Table of Contents | 第8-10页 |
| Chapter 0 Introduction | 第10-16页 |
| Chapter 1 Preliminaries and notations | 第16-34页 |
| ·The space-time monopole equation | 第16-22页 |
| ·The Ward equation and Ward solitons | 第22-27页 |
| ·Noncommutative extension of the Ward model | 第27-29页 |
| ·Supersymmetric extension of the noncommutative Ward model | 第29-34页 |
| Chapter 2 The Cauchy problem for the space-time monopole equa-tion | 第34-44页 |
| ·The holomorphic bundles associated to spacial pairs | 第34-37页 |
| ·Scattering theory for the space-time monopole equation | 第37-38页 |
| ·On initial data of the space-time monopole equation | 第38-44页 |
| Chapter 3 Holomorphic vector bundles corresponding to Ward soli-tons | 第44-60页 |
| ·Twistor correspondence and the finite-action 1-uniton bundle | 第44-48页 |
| ·Bundles corresponding to solitons with simple pole data | 第48-54页 |
| ·Bundles corresponding to solitons with higher-order pole data | 第54-60页 |
| Chapter 4 Noncommutative Multi-Solitons in a Modified Chiral Model in 2+1 Dimensions | 第60-74页 |
| ·Noncommutatively generalized dressing approach | 第60-62页 |
| ·Multi-soliton configurations with simple pole data | 第62-65页 |
| ·Multi-soliton configurations with higher-order pole data | 第65-74页 |
| Chapter 5 Noncommutative Multi-Solitons in a Supersymmetric Modified Chiral Model in 2+1 Dimensions | 第74-92页 |
| ·Supersymmetric extension of the noncommutative dressing approach | 第74-76页 |
| ·N-extended multi-soliton configurations with simple pole data | 第76-79页 |
| ·N-extended multi-soliton configurations with higher-order pole data | 第79-92页 |
| Appendix | 第92-96页 |
| Bibliography | 第96-102页 |
| Publications | 第102-103页 |
| Resume | 第103-104页 |
| Acknowledgements | 第104-105页 |
