RECURSION OPERATOR FOR A SYSTEM WITH NON-RATIONAL LAX REPRESENTATION


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ZHELTUKHIN K.

UFA MATHEMATICAL JOURNAL, cilt.8, sa.2, ss.112-118, 2016 (ESCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 8 Konu: 2
  • Basım Tarihi: 2016
  • Doi Numarası: 10.13108/2016-8-2-112
  • Dergi Adı: UFA MATHEMATICAL JOURNAL
  • Sayfa Sayıları: ss.112-118

Özet

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.