SYMMETRY REDUCTION OF ASYMMETRIC HEAVENLY EQUATION AND 2+1-DIMENSIONAL BI-HAMILTONIAN SYSTEM

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YAZICI D., Sert H.

15th International Conference on Geometry, Integrability and Quantization, Varna, Bulgaristan, 7 - 12 Haziran 2013, ss.309-317 identifier

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Doi Numarası: 10.7546/giq-15-2014-309-317
  • Basıldığı Şehir: Varna
  • Basıldığı Ülke: Bulgaristan
  • Sayfa Sayıları: ss.309-317
  • Yıldız Teknik Üniversitesi Adresli: Evet

Özet

Asymmetric heavenly equation, presented in a two-component form, is known to be 3+1-dimensional bi-Hamiltonian system. We show that symmetry reduction of this equation yields a new two component 2+1-dimensional integrable bi-Hamiltonian system. We prove that this new 2+1-dimensional system admits bi-Hamiltonian structure, so that it is integrable according to Magri's theorem.