Symmetry reduction of the first heavenly equation and 2
TURKISH JOURNAL OF PHYSICS, cilt.42, sa.2, ss.183-190, 2018 (ESCI, Scopus, TRDizin)
- 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
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- 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.