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On the Complete Integrability of Nonlinear Dynamical Systems on Functional Manifolds Within the Gradient-Holonomic Approach |
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| Authors: | Yarema A. Prykarpatsky |
| Affiliation: | a Institute of Mathematics at the NAS, Kyiv, Ukraine b Department of Applied Mathematics, Agrarian University of Kraków, Poland;c V.A. Steklov Mathematical Institute of RAS, Moscow, Russian Federation d Abdus Salam International Centre of Theoretical Physics, Trieste, Italy;e AGH University of Science and Technology Department of Mining Geodesy, Kraków 30059, Poland f Ivan Franko State Pedagogical University, Drohobych, Lviv region, Ukraine; Department of Mechanics and Mathematics T. Shevchenko National University, Kyiv, Ukraine |
| Abstract: | |
| Keywords: | gradient-holonomic method conservation laws asymptotical analysis Poissonian structures Lax-type representation finite-dimensional reduction Liouville integrability |
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