Bi-Hamiltonian Structures for Integrable Systems on Regular Time Scales
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Date
2009
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Journal Title
Journal ISSN
Volume Title
Publisher
Amer Inst Physics
Open Access Color
BRONZE
Green Open Access
Yes
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1
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2
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No
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Abstract
A construction of the bi-Hamiltonian structures for integrable systems on regular time scales is presented. The trace functional on an algebra of delta-pseudodifferential operators, valid on an arbitrary regular time scale, is introduced. The linear Poisson tensors and the related Hamiltonians are derived. The quadratic Poisson tensors are given by the use of the recursion operators of the Lax hierarchies. The theory is illustrated by Delta-differential counterparts of Ablowitz-Kaup-Newell-Segur and Kaup-Broer hierarchies.
Description
ORCID
Keywords
functional analysis, Poisson equation, recursive functions, tensors, Operators, Algebra, Nonlinear Sciences - Exactly Solvable and Integrable Systems, FOS: Physical sciences, Exactly Solvable and Integrable Systems (nlin.SI), Dynamic equations on time scales or measure chains, recursive functions, tensors, Partial functional-differential equations, Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.), Lattice dynamics; integrable lattice equations, Poisson equation
Fields of Science
0101 mathematics, 01 natural sciences
Citation
WoS Q
Q3
Scopus Q
Q3
OpenCitations Citation Count
4
Source
Journal of Mathematıcal Physıcs
Volume
50
Issue
7
Start Page
End Page
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CrossRef : 4
Scopus : 5
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Mendeley Readers : 3
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5
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5
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2
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25
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