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This article is cited in 2 scientific papers (total in 2 papers)
Bi-Hamiltonian systems of natural form
A. V. Tsiganov St. Petersburg State University, Faculty of Physics
Abstract:
We propose a new method for constructing integrable systems of natural form.
In this method, integrals of motion are solutions of an overdetermined system
of algebraic and partial differential equations obtained from the compatibility
condition for Poisson tensors polynomial in the momenta and
from the condition that the bi-Lagrangian distribution corresponding
to the integrals of motion is invariant under the action of the recursion operator.
Keywords:
integrable system, bi-Hamiltonian manifold, separation of variables.
Received: 21.03.2006 Revised: 14.06.2006
Citation:
A. V. Tsiganov, “Bi-Hamiltonian systems of natural form”, TMF, 149:2 (2006), 161–182; Theoret. and Math. Phys., 149:2 (2006), 1437–1456
Linking options:
https://www.mathnet.ru/eng/tmf4225https://doi.org/10.4213/tmf4225 https://www.mathnet.ru/eng/tmf/v149/i2/p161
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