Proof of the Treves theorem on the KdV hierarchy
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منابع مشابه
On the Treves theorem for the AKNS equation
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 p...
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