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29 March 2024
 
  » arxiv » nlin.SI/0407025

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On the Treves theorem for the AKNS equation
Carlo Morosi ; Livio Pizzocchero ;
Date 9 Jul 2004
Journal J.Math.Phys. 45(12), 4737-4753 (2004)
Subject Exactly Solvable and Integrable Systems; Mathematical Physics | nlin.SI math-ph math.MP
AffiliationPolitecnico di Milano), Livio Pizzocchero (Univ. di Milano
AbstractAccording to a theorem of Treves, the conserved functionals of the AKNS equation vanish on all pairs of formal Laurent series of a specified form, both of them with a pole of the first order. We propose a new and very simple proof for this statement, based on the theory of Bäcklund transformations; using the same method, we prove that the AKNS conserved functionals vanish on other pairs of Laurent series. The spirit is the same of our previous paper on the Treves theorem for the KdV, with some non trivial technical differences.
Source arXiv, nlin.SI/0407025
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