Symmetries, integrals, and three-dimensional reductions of Plebanski's second heavenly equation
PHYSICS OF ATOMIC NUCLEI, cilt.70, sa.3, ss.584-592, 2007 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 70 Sayı: 3
- Basım Tarihi: 2007
- Doi Numarası: 10.1134/s1063778807030209
- Dergi Adı: PHYSICS OF ATOMIC NUCLEI
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.584-592
- Yıldız Teknik Üniversitesi Adresli: Evet
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.