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JOURNALS // Teoreticheskaya i Matematicheskaya Fizika // Archive
TMF, 2018 Volume 196, Number 1, Pages 50–63 (Mi tmf9460)
The AKNS hierarchy and finite-gap Schrödinger potentials

V. S. Oganesyan

Lomonosov Moscow State University, Moscow, Russia

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.

Keywords: matrix commuting differential operator, AKNS hierarchy, finite-gap Schrödinger potential.

MSC: 37K10

Received: 05.09.2017

DOI: 10.4213/tmf9460


 English version: Theoretical and Mathematical Physics, 2018, 196:1, 983–995

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