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arXiv · 1309.5267

The Lax integrability of a two-component hierarchy of the Burgers type dynamical systems within asymptotic and differential-algebraic approaches

Denis L. Blackmore·Anatolij K. Prykarpatski·Emin Özçağ·Kamal Soltanov
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Abstract

The Lax type integrability of a two-component polynomial Burgers type dynamical system within a differential-algebraic approach is studied, its linear adjoint matrix Lax representation is constructed. A related recursion operator and infnite hierarchy of Lax integrable nonlinear dynamical systems of the Burgers-Korteweg-de Vries type are derived by means of the gradient-holonomic technique, the corresponding Lax type representations are presented.

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Denis L. Blackmore, Anatolij K. Prykarpatski, Emin Özçağ, Kamal Soltanov. 2013-12-25. The Lax integrability of a two-component hierarchy of the Burgers type dynamical systems within asymptotic and differential-algebraic approaches. https://arxiv.org/abs/1309.5267

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