Ukrainian Mathematical Journal

, Volume 67, Issue 2, pp 167–185 | Cite as

Integrability Analysis of a Two-Component Burgers-Type Hierarchy

  • D. Blackmore
  • A. K. Prykarpatsky
  • E. Özçağ
  • K. Soltanov

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.


Poissonian Structure Differential Functional Equation Recursive Operator Differential Algebra Generalize Dynamical System 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer Science+Business Media New York 2015

Authors and Affiliations

  • D. Blackmore
    • 1
  • A. K. Prykarpatsky
    • 2
    • 3
  • E. Özçağ
    • 4
  • K. Soltanov
    • 4
  1. 1.New Jersey Institute of TechnologyNewarkUSA
  2. 2.AGH University of Science and TechnologyKrakwPoland
  3. 3.Franko Drohobych State Pedagogical UniversityDrohobychUkraine
  4. 4.Hacettepe UniversityAnkaraTurkey

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