Szablikowski, B.M., Błaszak, M. and Silindir, B. (2009) Bi-Hamiltonian structures for integrable systems on regular time scales. Journal of Mathematical Physics, 50(7), 073502. (doi: 10.1063/1.3158860)
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Publisher's URL: http://dx.doi.org/10.1063/1.3158860
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.
| Item Type: | Articles |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Szablikowski, Dr Blazej |
| Authors: | Szablikowski, B.M., Błaszak, M., and Silindir, B. |
| College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
| Journal Name: | Journal of Mathematical Physics |
| ISSN: | 0022-2488 |
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