Integrability Analysis of a Two-Component Burgers-Type Hierarchy

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

UKRAINIAN MATHEMATICAL JOURNAL, vol.67, no.2, pp.167-185, 2015 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 67 Issue: 2
  • Publication Date: 2015
  • Doi Number: 10.1007/s11253-015-1072-6
  • Journal Name: UKRAINIAN MATHEMATICAL JOURNAL
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.167-185
  • Hacettepe University Affiliated: Yes

Abstract

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.