Author： Prytula M. Prykarpats’kyi A. Vovk M.
Publisher： Springer Publishing Company
ISSN： 1072-3374
Source： Journal of Mathematical Sciences, Vol.167, Iss.1, 2010-05, pp. : 112-117
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Abstract
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.
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