Symmetry reduction of the first heavenly equation and 2


YAZICI D.

TURKISH JOURNAL OF PHYSICS, cilt.42, ss.183-190, 2018 (ESCI İndekslerine Giren Dergi)

  • Cilt numarası: 42 Konu: 2
  • Basım Tarihi: 2018
  • Doi Numarası: 10.3906/fiz-1710-5
  • Dergi Adı: TURKISH JOURNAL OF PHYSICS
  • Sayfa Sayısı: ss.183-190

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.