Integrability Analysis of a Two-Component Burgers-Type Hierarchy


Blackmore D., PRYKARPATSKY A. K. , ÖZÇAĞ E. , SOLTANOV K.

UKRAINIAN MATHEMATICAL JOURNAL, cilt.67, ss.167-185, 2015 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 67 Konu: 2
  • Basım Tarihi: 2015
  • Doi Numarası: 10.1007/s11253-015-1072-6
  • Dergi Adı: UKRAINIAN MATHEMATICAL JOURNAL
  • Sayfa Sayıları: ss.167-185

Özet

The Lax integrability of a two-component polynomial Burgers-type dynamical system is analyzed by using a differential-algebraic approach. Its linear adjoint matrix Lax representation is constructed. A related recursive operator and an infinite hierarchy of nonlinear Lax integrable dynamical systems of the Burgers-Korteweg-de-Vries type are obtained by the gradient-holonomic technique. The corresponding Lax representations are presented.