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Teoreticheskaya i Matematicheskaya Fizika, 2019, Volume 201, Number 3, Pages 415–423
DOI: https://doi.org/10.4213/tmf9653 (Mi tmf9653) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Solutions of the discrete nonlinear Schrödinger equation with a trap

V. N. Likhachev, G. A. Vinogradov

Emanuel Institute of Biochemical Physics, Russian Academy of Sciences, Moscow, Russia
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DOI: https://doi.org/10.4213/tmf9653
Abstract: We obtain solutions of the discrete nonlinear Schrödinger equation with an impurity center in two ways. In the first of them, we construct the wave function as a series in a certain parameter. In the second, approximate method, we obtain the wave function in the continuum limit. We compare the obtained solutions with numerical results, and the relative accuracy of the solution in the form of a series does not exceed $10^{-15}$ in order of magnitude.
Keywords: discrete nonlinear Schrödinger equation, tight-binding approximation.
Received: 15.11.2018
Revised: 18.06.2019
English version:
Theoretical and Mathematical Physics, 2019, Volume 201, Issue 3, Pages 1771–1778
DOI: https://doi.org/10.1134/S0040577919120080
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. N. Likhachev, G. A. Vinogradov, “Solutions of the discrete nonlinear Schrödinger equation with a trap”, TMF, 201:3 (2019), 415–423; Theoret. and Math. Phys., 201:3 (2019), 1771–1778
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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