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Zapiski Nauchnykh Seminarov POMI, 2020, Volume 494, Pages 5–22
(Mi znsl6982)
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This article is cited in 1 scientific paper (total in 1 paper)
Backlund transformation for the nonlinear Schrodinger equation
N. M. Belousov St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences
Abstract:
In the note we give a new method of derivation of the Backlund transformation for the nonlinear Schrodinger equation. We discuss conserved quantities related to this transformation, and how it can be connected with the inverse scattering method. Besides, we construct a quantum analog of the Backlund transformation defined by the Baxter's $Q$-operator.
Key words and phrases:
nonlinear Schrodinger equation, Backlund transformation, symmetries, integrability, inverse scattering method, Baxter Q-operatorlinear operator defines.
Received: 12.10.2020
Citation:
N. M. Belousov, “Backlund transformation for the nonlinear Schrodinger equation”, Questions of quantum field theory and statistical physics. Part 27, Zap. Nauchn. Sem. POMI, 494, POMI, St. Petersburg, 2020, 5–22
Linking options:
https://www.mathnet.ru/eng/znsl6982 https://www.mathnet.ru/eng/znsl/v494/p5
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Abstract page: | 136 | Full-text PDF : | 184 | References: | 21 |
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