On complete integrability of a hierarchy of finite-dimensional Hamiltonian systems (Q1210213)
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scientific article; zbMATH DE number 177967
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On complete integrability of a hierarchy of finite-dimensional Hamiltonian systems |
scientific article; zbMATH DE number 177967 |
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On complete integrability of a hierarchy of finite-dimensional Hamiltonian systems (English)
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25 May 1993
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Hamiltonian systems which arise from the KdV equation and its Lax pair after imposing the constraint \(u=\sum_ i q_ i q_ i\) are discussed. It is shown that these systems can be constructed by the recursion operator and that their independent integrals of motion are in involution. Consequently, such Hamiltonian systems are completely integrable in the Liouville sense.
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Liouville integrability
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Hamiltonian systems
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KdV equation
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Lax pair
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