Physics – Mathematical Physics
Scientific paper
2007-11-29
Physics
Mathematical Physics
Scientific paper
We reduced the problem of constructing bi-Hamiltonian structure in three
dimensions to the solution of a Riccati equation in moving coordinates of
Serret-Frenet frame. We then show that either the linearly independent
solutions of the corresponding second order equation or the normal vectors of
the moving frame imply two compatible Poisson structures.
Abadoğlu Ender
Gümral Hasan
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