Recursion operator for a system with non-rational Lax representation

ZHELTUKHIN K.

Ufa Mathematical Journal, cilt.8, sa.2, ss.112-118, 2016 (Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 8 Sayı: 2
  • Basım Tarihi: 2016
  • Doi Numarası: 10.13108/2016-8-2-112
  • Dergi Adı: Ufa Mathematical Journal
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.112-118
  • Anahtar Kelimeler: Hydrodynamic type systems, Non-rational Lax representation, Recursion operator
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

© K. Zheltukhin.We consider a hydrodynamic type system, waterbag model, that admits a dispersionless Lax representation with a logarithmic Lax function. Using the Lax representation, we construct a recursion operator of the system. We note that the constructed recursion operator is not compatible with the natural Hamiltonian representation of the system.