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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.
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
Linking options:
https://www.mathnet.ru/eng/tmf9460https://doi.org/10.4213/tmf9460 https://www.mathnet.ru/eng/tmf/v196/i1/p50
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Statistics & downloads: |
Abstract page: | 340 | Full-text PDF : | 64 | References: | 38 | First page: | 26 |
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