Non-Pfaffian quasi-bi-Hamiltonian systems with two degrees of freedom

Rabenivo, J

doi:10.1088/0305-4470/31/34/014

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Quasi-bi-hamiltonian Systems1

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Cited by 3 publications

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“…with H and K of the form (4). This kind of generalization of the Pfaffian case has been recently considered in [23] only for the case n = 2. As it is evident, the above results hold for QBH dynamical systems with an arbitrary number of degrees of freedom.…”

Section: Quasi-bi-hamiltonian Systemsmentioning

confidence: 99%

Bi-Hamiltonian manifolds, quasi-bi-Hamiltonian systems and separation variables

Tondo

Morosi

1999

Reports on Mathematical Physics

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Section: Quasi-bi-hamiltonian Systemsmentioning

confidence: 99%

Bi-Hamiltonian manifolds, quasi-bi-Hamiltonian systems and separation variables

Tondo

Morosi

1999

Reports on Mathematical Physics

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Quasi-bi-Hamiltonian systems: Why the Pfaffian case?

Boualem¹,

Brouzet²,

Rakotondralambo³

2006

Physics Letters A

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Families of quasi-bi-Hamiltonian systems and separability

Zeng

1999

Journal of Mathematical Physics

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It is shown how to construct an infinite number of families of quasi-bi-Hamiltonian (QBH) systems by means of the constrained flows of soliton equations. Three explicit QBH structures are presented for the first three families of the constrained flows. The Nijenhuis coordinates defined by the Nijenhuis tensor for the corresponding families of QBH systems are proved to be exactly the same as the separated variables introduced by mean of the Lax matrices for the constrained flows.

show abstract

Non-Pfaffian quasi-bi-Hamiltonian systems with two degrees of freedom

Cited by 3 publications

References 8 publications

Bi-Hamiltonian manifolds, quasi-bi-Hamiltonian systems and separation variables

Bi-Hamiltonian manifolds, quasi-bi-Hamiltonian systems and separation variables

Quasi-bi-Hamiltonian systems: Why the Pfaffian case?

Families of quasi-bi-Hamiltonian systems and separability

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