MULTIPLE LOCAL LAGRANGIANS FOR n-COMPONENT SUPER-KORTEWEG DE VRIES-TYPE BI-HAMILTONIAN SYSTEMS

Oguz O., YAZICI D.

INTERNATIONAL JOURNAL OF MODERN PHYSICS A, cilt.25, sa.5, ss.1069-1078, 2010 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 25 Sayı: 5
  • Basım Tarihi: 2010
  • Doi Numarası: 10.1142/s0217751x10048974
  • Dergi Adı: INTERNATIONAL JOURNAL OF MODERN PHYSICS A
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1069-1078
  • Yıldız Teknik Üniversitesi Adresli: Evet

Özet

The multiple Lagrangian formalism is constructed for n-component Korteweg-de Vries (KdV) type superintegrable systems. They all admit bi-Hamiltonian structure. The first two Lagrangians are local and degenerate. They contain Clebsch potentials for velocity fields and momentum maps in kinetic term. The first local Lagrangian for n-component supermodified KdV (smKdV) is also obtained by employing the multicomponent super-Miura transformation.