On the Treves theorem for the AKNS equation
نویسندگان
چکیده
According to a theorem of Treves [11], the conserved functionals of the AKNS equation vanish on all pairs of formal Laurent series (q̃, r̃) 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 [7] on the Treves theorem for the KdV [10], with some non trivial technical differences.
منابع مشابه
/ 93 07 01 7 v 1 2 J ul 1 99 3 AKNS Hierarchy , Self – Similarity , String Equations and the Grassmannian ∗
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