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Algebra i Analiz, 2019, Volume 31, Issue 5, Pages 206–215 (Mi aa1673)  
This article is cited in 1 scientific paper (total in 1 paper)

Research Papers

Trace formulas for the one-dimensional Stark operator and integrals of motion for the cylindrical Korteweg-de Vries equation

V. V. Sukhanov

St. Petersburg State University, Faculty of Physics
Full-text PDF (202 kB) Citations (1)
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Abstract: A complete series of trace formulas for the one-dimensional Stark operator on the entire axis with a rapidly decreasing potential is constructed. The Stark equation is related to the cylindrical Korteweg-de Vries equation by the pair ( $ L$–$ A$). For this equation, infinite series of integrals of motion is constructed that corresponds to the trace formulas for the Stark operator.
Keywords: trace formulas, Stark operator, integrals of motion, cylindrical Korteweg–de Vries equation, inverse problem.
Funding agency Grant number
Russian Science Foundation 17-11-01126
Saint Petersburg State University 11.42.672.2017
The work was supported by the grant from St. Petersburg State University 11.42.672.2017 and the grant from the Russian Science Foundation no. 17-11-01126
Received: 03.05.2018
English version:
St. Petersburg Mathematical Journal, 2020, Volume 31, Issue 5, Pages 903–910
DOI: https://doi.org/10.1090/spmj/1628
Bibliographic databases:
Document Type: Article
MSC: 34A55
Language: Russian
Citation: V. V. Sukhanov, “Trace formulas for the one-dimensional Stark operator and integrals of motion for the cylindrical Korteweg-de Vries equation”, Algebra i Analiz, 31:5 (2019), 206–215; St. Petersburg Math. J., 31:5 (2020), 903–910
Citation in format AMSBIB
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\pages 206--215
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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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    		Алгебра и анализ St. Petersburg Mathematical Journal
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    References:56
    First page:26
     
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