Infinite-Hamiltonian structures of the Riemann equation

TURHAN R.

Turkish Journal of Physics, cilt.30, sa.5, ss.445-450, 2006 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 30 Sayı: 5
  • Basım Tarihi: 2006
  • Dergi Adı: Turkish Journal of Physics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.445-450
  • Anahtar Kelimeler: Integrability, Multi-Hamiltonian structures, Riemann equation
  • Ankara Üniversitesi Adresli: Evet

Özet

We give two distinct infinite-Hamiltonian representations for the Riemann equation. One with first order Hamiltonian operators and another with third order-first order Hamiltonian operators. Both representations contain an arbitrary function of the dynamical variable. We prove that all the Hamiltonian operators of the Riemann equation are mutually compatible. © TÜBİTAK.