Recursion operator for a system with non-rational Lax representation
Ufa Mathematical Journal, cilt.8, sa.2, ss.112-118, 2016 (Scopus)
- 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.