AKNS hierarchy and finite-gap Schrodinger potentials

Abstract

In this paper we study AKNS hierarchy. We find explicit necessary conditions for functions $p$ and $q$ to be solution of some equation of AKNS hierarchy. Then we construct finite-gap Schrodinger potential using functions $p$ and $q$.

16 pages

References in corpus (4)

• Commuting ordinary differential operators with polynomial coefficients and automorphisms of the first Weyl algebra
• Commuting differential operators of rank 2 with polynomial coefficients
• Common eigenfunctions of commuting differential operators of rank 2
• Explicit characterization of some commuting differential operators of rank 2