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Integrability Analysis of a Two-Component Burgers-Type Hierarchy

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Ukrainian Mathematical Journal Aims and scope

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.

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Authors and Affiliations

  1. New Jersey Institute of Technology, Newark, USA

    D. Blackmore

  2. AGH University of Science and Technology, Krakw, Poland

    A. K. Prykarpatsky

  3. Franko Drohobych State Pedagogical University, Drohobych, Ukraine

    A. K. Prykarpatsky

  4. Hacettepe University, Ankara, Turkey

    E. Özçağ & K. Soltanov

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  1. D. Blackmore
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  2. A. K. Prykarpatsky
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  3. E. Özçağ
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  4. K. Soltanov
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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 67, No. 2, pp. 147–162, February, 2015.

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Blackmore, D., Prykarpatsky, A.K., Özçağ, E. et al. Integrability Analysis of a Two-Component Burgers-Type Hierarchy. Ukr Math J 67, 167–185 (2015). https://doi.org/10.1007/s11253-015-1072-6

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