Darboux coordinates and Liouville-Arnold integration in loop algebras

Author:

Adams M. R.,Harnad J.,Hurtubise J.

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Reference29 articles.

1. [A] Adler, M.: On a trace functional for formal pseudo-differential operators and the symplectic structure of the Korteweg-de Vries equation. Invent. math.50, 219–248 (1979)

2. [AHH1] Adams, M.R., Harnad, J., Hurtubise, J.: Isospectral Hamiltonian flows in finite and infinite dimension. II. Integration of flows. Commun. Math. Phys.134, 555–585 (1990)

3. [AHH2] Adams, M.R., Harnad, J., Hurtubise, J.: Dual moment maps to loop algebras. Lett. Math. Phys.20, 294–308 (1990)

4. [AHH3] Adams, M.R., Harnad, J., Hurtubise, J.: Integrable Hamiltonian systems on rational coadjoint orbits of loop algebras. In: Hamiltonian systems, transformation groups and spectral transform methods. Harnad, J., Marsden, J. (eds.). Montréal: Publ. C.R.M. 1990

5. [AHH4] Adams, M.R., Harnad, J., Hurtubise, J.: Liouville generating function for isospectral Hamiltonian flow in loop algebras. In: Integrable and superintegrable systems. Kuperschmidt, B. (ed.) Singapore: World Scientific 1990

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