Normal forms and the multiple-times expansion method for finite-dimensional integrable Hamiltonian systems

Nacioezer M., Tascan F.

INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, cilt.84, sa.12, ss.1819-1841, 2007 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 84 Sayı: 12
  • Basım Tarihi: 2007
  • Doi Numarası: 10.1080/00207160701332739
  • Dergi Adı: INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1819-1841
  • Eskişehir Osmangazi Üniversitesi Adresli: Evet

Özet

The authors apply the method of multiple-times expansion to finite-dimensional integrable Hamiltonian systems of polynomial type in order to determine integrable Hamiltonian systems and to derive new integrable systems from previously known ones. Recursion operators for the derived integrable systems are obtained. Normal forms for finite-dimensional integrable Hamiltonian systems are also constructed. It is demonstrated that the Hamiltonians found by the multiple-times expansion method are indeed the normal form expansions.