Book contents
- Frontmatter
- Contents
- Preface
- Acknowledgements
- General Introduction and Outline
- 1 Pseudospherical Surfaces and the Classical Bäcklund Transformation. The Bianchi System
- 2 The Motion of Curves and Surfaces. Soliton Connections
- 3 Tzitzeica Surfaces. Conjugate Nets and the Toda Lattice Scheme
- 4 Hasimoto Surfaces and the Nonlinear Schrödinger Equation. Geometry and Associated Soliton Equations
- 5 Isothermic Surfaces. The Calapso and Zoomeron Equations
- 6 General Aspects of Soliton Surfaces. Role of Gauge and Reciprocal Transformations
- 7 Bäcklund Transformation and Darboux Matrix Connections
- 8 Bianchi and Ernst Systems. Bäcklund Transformations and Permutability Theorems
- 9 Projective-Minimal and Isothermal-Asymptotic Surfaces
- Appendix A The su(2)–so(3) Isomorphism
- Appendix B CC-Ideals
- Appendix C Biographies
- Bibliography and Author Index
- Subject Index
3 - Tzitzeica Surfaces. Conjugate Nets and the Toda Lattice Scheme
Published online by Cambridge University Press: 04 March 2010
Book contents
- Frontmatter
- Contents
- Preface
- Acknowledgements
- General Introduction and Outline
- 1 Pseudospherical Surfaces and the Classical Bäcklund Transformation. The Bianchi System
- 2 The Motion of Curves and Surfaces. Soliton Connections
- 3 Tzitzeica Surfaces. Conjugate Nets and the Toda Lattice Scheme
- 4 Hasimoto Surfaces and the Nonlinear Schrödinger Equation. Geometry and Associated Soliton Equations
- 5 Isothermic Surfaces. The Calapso and Zoomeron Equations
- 6 General Aspects of Soliton Surfaces. Role of Gauge and Reciprocal Transformations
- 7 Bäcklund Transformation and Darboux Matrix Connections
- 8 Bianchi and Ernst Systems. Bäcklund Transformations and Permutability Theorems
- 9 Projective-Minimal and Isothermal-Asymptotic Surfaces
- Appendix A The su(2)–so(3) Isomorphism
- Appendix B CC-Ideals
- Appendix C Biographies
- Bibliography and Author Index
- Subject Index
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- Bäcklund and Darboux TransformationsGeometry and Modern Applications in Soliton Theory, pp. 88 - 118Publisher: Cambridge University PressPrint publication year: 2002