Yayınlanmış 1 Ocak 2009 | Sürüm v1
Dergi makalesi Açık

Bi-Hamiltonian structures for integrable systems on regular time scales

  • 1. Adam Mickiewicz Univ Poznan, Dept Phys, PL-61614 Poznan, Poland
  • 2. Izmir Univ Econ, Dept Math, TR-35330 Izmir, Turkey

Açıklama

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.

Dosyalar

bib-a5bccd8c-7f78-4123-aab7-31ee63701185.txt

Dosyalar (165 Bytes)

Ad Boyut Hepisini indir
md5:26afa1e519ab9acf5909cf6ee3155bb3
165 Bytes Ön İzleme İndir