Abstract
New sequences of series of integrable Hamiltonian systems are obtained as the systems defined on the Jacobi varieties. Equations of Korteweg-de Vries (KdV) and inverse KdV type as well as sine-Gordon and nonlinear Schródinger equations together with the corresponding Hamiltonian systems are only initial members of the found sequences. We also investigate discrete systems associated with the integrable continuous systems.
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© 1991 Springer-Verlag New York, Inc.
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Alber, S.J. (1991). Hamiltonian Systems on the Jacobi Varieties. In: Ratiu, T. (eds) The Geometry of Hamiltonian Systems. Mathematical Sciences Research Institute Publications, vol 22. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-9725-0_3
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DOI: https://doi.org/10.1007/978-1-4613-9725-0_3
Publisher Name: Springer, New York, NY
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