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- W3100970566 abstract "According to a theorem of Treves, the conserved functionals of the Ablowitz, Kaup, Newell, and Segur (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 as in our previous paper on the Treves theorem for the Korteweg–de Vries hierarchy, with some nontrivial technical differences." @default.
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- W3100970566 date "2004-11-22" @default.
- W3100970566 modified "2023-09-26" @default.
- W3100970566 title "On the Treves theorem for the Ablowitz–Kaup–Newell–Segur equation" @default.
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- W3100970566 doi "https://doi.org/10.1063/1.1805730" @default.
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