Book contents
- Frontmatter
- Contents
- Preface
- Acknowledgements
- Part I One-dimensional integrable systems
- Part II Two-dimensional integrable systems
- 9 Zero-curvature equations
- 10 Some solutions of zero-curvature equations
- 11 Loop groups and loop algebras
- 12 Factorizations and homogeneous spaces
- 13 The two-dimensional Toda lattice
- 14 τ-functions and the Bruhat decomposition
- 15 Solutions of the two-dimensional Toda lattice
- 16 Harmonic maps from C to a Lie group
- 17 Harmonic maps from C to a Lie group (continued)
- 18 Harmonic maps from C to a symmetric space
- 19 Harmonic maps from C to a symmetric space (continued)
- 20 Application: Harmonic maps from S2 to CPn
- 21 Primitive maps
- 22 Weierstrass formulae for harmonic maps
- Part III One-dimensional and two-dimensional integrable systems
- References
- Index
13 - The two-dimensional Toda lattice
Published online by Cambridge University Press: 05 June 2012
Book contents
- Frontmatter
- Contents
- Preface
- Acknowledgements
- Part I One-dimensional integrable systems
- Part II Two-dimensional integrable systems
- 9 Zero-curvature equations
- 10 Some solutions of zero-curvature equations
- 11 Loop groups and loop algebras
- 12 Factorizations and homogeneous spaces
- 13 The two-dimensional Toda lattice
- 14 τ-functions and the Bruhat decomposition
- 15 Solutions of the two-dimensional Toda lattice
- 16 Harmonic maps from C to a Lie group
- 17 Harmonic maps from C to a Lie group (continued)
- 18 Harmonic maps from C to a symmetric space
- 19 Harmonic maps from C to a symmetric space (continued)
- 20 Application: Harmonic maps from S2 to CPn
- 21 Primitive maps
- 22 Weierstrass formulae for harmonic maps
- Part III One-dimensional and two-dimensional integrable systems
- References
- Index
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- Harmonic Maps, Loop Groups, and Integrable Systems , pp. 77 - 84Publisher: Cambridge University PressPrint publication year: 1997