21 citations · 135 across the 22 of their papers we have counts for
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The integrable heavenly type equations and their Lie-algebraic structure
O. Hentosh, Ya. A. Prykarpatsky, D. Blackmore +1
There are investigated the Lie algebraic structure and integrability properties of a very interesting class of nonlinear dynamical systems called the heavenly equations, which were…
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 +1
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 representa…
On the Complete Integrability of a One Generalized Riemann Type Hydrodynamic System
Denis Blackmore, Yarema A. Prykarpatsky, Orest D. Artemowych +1
The complete integrability of a generalized Riemann type hydrodynamic system is studied by means of symplectic and differential-algebraic tools. A compatible pair of polynomial Poi…
A vertex operator representation of solutions to the Gurevich-Zybin hydrodynamical equation
Yarema A. Prykarpatsky, Denis Blackmore, Jolanta Golenia +1
An approach based on the spectral and Lie - algebraic techniques for constructing vertex operator representation for solutions to a Riemann type Gurevicz-Zybin hydrodynamical hiera…
On the Liouville-Arnold integrable flows related with quantum algebras and their Poissonian representations
A. M. Samoilenko, Y. A. Prykarpatsky, D. L. Blackmore +1
Based on the structure of Casimir elements associated with general Hopf algebras there are constructed Liouville-Arnold integrable flows related with naturally induced Poisson stru…