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2018•Theoretical and Mathematical PhysicsOpen access

The AKNS Hierarchy and Finite-Gap Schrödinger Potentials

Vardan Oganesyan

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Abstract

We consider the AKNS hierarchy and find the necessary and sufficient conditions for functions p and q to become solutions of the AKNS hierarchy. Using the functions p and q, we construct finite-gap Schrödinger potentials.

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What this paper is about

We consider the AKNS hierarchy and find the necessary and sufficient conditions for functions p and q to become solutions of the AKNS hierarchy. Using the functions p and q, we construct finite-gap Schrödinger potentials.

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Available abstract

We consider the AKNS hierarchy and find the necessary and sufficient conditions for functions p and q to become solutions of the AKNS hierarchy. Using the functions p and q, we construct finite-gap Schrödinger potentials.

Key concepts: Hierarchy, Schrödinger's cat, Schrödinger equation, Construct (python library), Mathematics, Pure mathematics, Mathematical physics, Algebra over a field

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