Symmetry reduction of the first heavenly equation and 2

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YAZICI D.

TURKISH JOURNAL OF PHYSICS, cilt.42, sa.2, ss.183-190, 2018 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 42 Sayı: 2
  • Basım Tarihi: 2018
  • Doi Numarası: 10.3906/fiz-1710-5
  • Dergi Adı: TURKISH JOURNAL OF PHYSICS
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.183-190
  • Anahtar Kelimeler: First heavenly equation, symmetry reduction, recursion operator, bi-Hamiltonian, 2 + 1-dimensional systems
  • Yıldız Teknik Üniversitesi Adresli: Evet

Özet

The first heavenly equation of Plebanski in the two-component form is known to be a 3 + 1-dimensional tri-Hamiltonian system. We show that a particular choice of symmetry reduction applied to the first heavenly equation yields a 2+1-dimensional bi-Hamiltonian system. For this tri-dimensional system, we present Lagrangian, Hamiltonian, and recursion operators; point symmetries; and integrals of motions.