Nonlinear Sciences – Exactly Solvable and Integrable Systems
Scientific paper
2007-06-22
Nonlinear Sciences
Exactly Solvable and Integrable Systems
15 pages
Scientific paper
We consider an integrable system in five unknowns having three quartics invariants. We show that the complex affine variety defined by putting these invariants equal to generic constants, completes into an abelian surface; the jacobian of a genus two hyperelliptic curve. This system is algebraic completely integrable and it can be integrated in genus two hyperelliptic functions.
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