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Some Bi-Hamiltonian Equations in $R^3$

Ahmet Ay·Metin Gurses·Kostyantyn Zheltukhin
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Abstract

Hamiltonian formulation of N=3 systems is considered in general. The Jacobi equation is solved in three classes. Compatible Poisson structures in these classes are determined and explicitly given. The corresponding bi-Hamiltonian systems are constructed and some explicit examples are given.

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Ahmet Ay, Metin Gurses, Kostyantyn Zheltukhin. 2003-08-26. Some Bi-Hamiltonian Equations in $R^3$. https://doi.org/10.1063/1.1619204

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