Book contents
- Frontmatter
- Contents
- Preface
- Acknowledgements
- Part I One-dimensional integrable systems
- 1 Lie groups
- 2 Lie Algebras
- 3 Factorizations and homogeneous spaces
- 4 Hamilton's equations and Hamiltonian systems
- 5 Lax equations
- 6 Adler-Kostant-Symes
- 7 Adler-Kostant-Symes (continued)
- 8 Concluding remarks on one-dimensional Lax equations
- Part II Two-dimensional integrable systems
- Part III One-dimensional and two-dimensional integrable systems
- References
- Index
4 - Hamilton's equations and Hamiltonian systems
Published online by Cambridge University Press: 05 June 2012
- Frontmatter
- Contents
- Preface
- Acknowledgements
- Part I One-dimensional integrable systems
- 1 Lie groups
- 2 Lie Algebras
- 3 Factorizations and homogeneous spaces
- 4 Hamilton's equations and Hamiltonian systems
- 5 Lax equations
- 6 Adler-Kostant-Symes
- 7 Adler-Kostant-Symes (continued)
- 8 Concluding remarks on one-dimensional Lax equations
- Part II Two-dimensional integrable systems
- Part III One-dimensional and two-dimensional integrable systems
- References
- Index
Summary
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- Chapter
- Information
- Harmonic Maps, Loop Groups, and Integrable Systems , pp. 18 - 23Publisher: Cambridge University PressPrint publication year: 1997