A Characterization of All Elliptic Solutions of the Akns Hierarchy

نویسنده

  • F. GESZTESY
چکیده

An explicit characterization of all elliptic algebro-geometric solutions of the AKNS hierarchy is presented. More precisely, we show that a pair of elliptic functions (p, q) is an algebro-geometric AKNS potential, that is, a solution of some equation of the stationary AKNS hierarchy, if and only if the associated linear differential system JΨ +QΨ = EΨ, where J = (

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تاریخ انتشار 2008