23 citations
- AGH University of KrakowPL6 papers
- Steklov Mathematical InstituteRU4 papers
- The Abdus Salam International Centre for Theoretical Physics (ICTP)IT4 papers
- Eastern Mediterranean UniversityCY3 papers
- Cracow University of TechnologyPL2 papers
- Kryvyi Rih State Pedagogical UniversityUA2 papers
- Lviv Polytechnic National UniversityUA2 papers
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- University of WrocławPL2 papers
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nlin.SI2018★ 2 cited
On the Linearization Covering Technique and its Application to Integrable Nonlinear Differential Systems
Anatolij K. Prykarpatski
In this letter I analyze a covering jet manifold scheme, its relation to the invariant theory of the associated vector fields, and applications to the Lax-Sato-type integrability o…
nlin.SI2010★ 23 cited
Differential-Algebraic Integrability Analysis of the Generalized Riemann Type and Korteweg-de Vries Hydrodynamical Equations
Anatoliy K. Prykarpatsky, Orest D. Artemovych, Ziemowit Popowicz +1
A differential-algebraic approach to studying the Lax type integrability of the generalized Riemann type hydrodynamic equations at N = 3; 4 is devised. The approach is also applied…
nlin.SI2010★ 20 cited
The non-polynomial conservation laws and integrability analysis of generalized Riemann type hydrodynamical equations
Ziemowit Popowicz, Anatoliy K. Prykarpatsky
Based on the gradient-holonomic algorithm we analyze the integrability property of the generalized hydrodynamical Riemann type equation for arbitrary $N\in \mathbb{…