On a theorem by Treves

Details On a theorem by Treves On a theorem by Treves

2004-05-05

arxiv.org/abs/nlin/0405007v1

J.Math. Phys. 45 (2004), 3558-3564

Nonlinear Sciences

Exactly Solvable and Integrable Systems

7 pages

Scientific paper

10.1063/1.1777795

According to a theorem of Treves, the conserved functionals of the KdV
equation vanish on each formal Laurent series 1/x^2 + u0 + u2 x^2 + u3 x^3 +
>... . We propose a new, very simple geometrical proof for this statement.

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