English

On a theorem by Treves

Exactly Solvable and Integrable Systems 2009-11-10 v1 Mathematical Physics math.MP

Abstract

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.

Cite

@article{arxiv.nlin/0405007,
  title  = {On a theorem by Treves},
  author = {Carlo Morosi and Livio Pizzocchero},
  journal= {arXiv preprint arXiv:nlin/0405007},
  year   = {2009}
}

Comments

7 pages

R2 v1 2026-07-22T18:12:15.204Z