Data di Pubblicazione:
2004
Citazione:
On the Treves theorem for the Ablowitz-Kaup-Newell-Segur equation / C. Morosi, L. Pizzocchero. - In: JOURNAL OF MATHEMATICAL PHYSICS. - ISSN 0022-2488. - 45:12(2004), pp. 4737-4753.
Abstract:
According to a theorem of Treves, the conserved functionals of the AKNS
equation vanish on all pairs of formal Laurent series $(q, r)$ 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 B\"acklund 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.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
AKNS and NLS equation, simmetries and conservation laws,
formal Laurent series.
Elenco autori:
C. Morosi, L. Pizzocchero
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