| Autor: |
Prytula, M. M., Prykarpats'kyi, A. K., Vovk, M. I. |
| Předmět: |
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| Zdroj: |
Journal of Mathematical Sciences; May2010, Vol. 167 Issue 1, p112-117, 6p |
| Abstrakt: |
In this work, on the basis of the Bogolyubov–Prykarpats’kyi gradient–holonomic algorithm for the investigation of the integrability of nonlinear dynamical systems on functional manifolds, the exact linearization of a Burgers–Korteweg–de Vries-type nonlinear dynamical system is established. As a result, we describe the linear structure of the space of solutions and show its relation to the convexity of certain functional subsets. The bi-Hamiltonian property of the Burgers–Korteweg–de Vries dynamical system is also established, and the infinite hierarchy of functionally independent invariants is constructed. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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