Symmetries, integrals, and three-dimensional reductions of Plebanski's second heavenly equation


Neyzi F., Sheftel M. B. , Yazici D.

PHYSICS OF ATOMIC NUCLEI, cilt.70, ss.584-592, 2007 (SCI İndekslerine Giren Dergi)

  • Cilt numarası: 70 Konu: 3
  • Basım Tarihi: 2007
  • Doi Numarası: 10.1134/s1063778807030209
  • Dergi Adı: PHYSICS OF ATOMIC NUCLEI
  • Sayfa Sayısı: ss.584-592

Özet

We study symmetries and conservation laws for Plebanski's second heavenly equation written as a first-order nonlinear evolutionary system which admits a multi-Hamiltonian structure. We construct an optimal system of one-dimensional subalgebras and all inequivalent three-dimensional symmetry reductions of the original four-dimensional system. We consider these two-component evolutionary systems in three dimensions as natural candidates for integrable systems.