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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.

Funding Agency Grant Number
Russian Science Foundation 16-11-10260
This research is supported by a grant from the Russian Science Foundation (Project No. 16-11-10260).


DOI: https://doi.org/10.4213/tmf9460

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

Bibliographic databases:

MSC: 37K10
Received: 05.09.2017

Citation: V. S. Oganesyan, “The AKNS hierarchy and finite-gap Schrödinger potentials”, TMF, 196:1 (2018), 50–63; Theoret. and Math. Phys., 196:1 (2018), 983–995

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  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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