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Teoreticheskaya i Matematicheskaya Fizika, 2015, Volume 183, Number 1, Pages 105–119
DOI: https://doi.org/10.4213/tmf8783 (Mi tmf8783) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Scattering theory for delta-type potentials

A. B. Shabatab

a Landau Institute for Theoretical Physics, RAS, Moscow, Russia
b Aliev Karachaev-Cherkess State University, Karachaevsk, Russia
Full-text PDF (506 kB) Citations (4)
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DOI: https://doi.org/10.4213/tmf8783
Abstract: In the example of the Korteweg–de Vries equation, we consider the problem of extending the applicability of the inverse spectral transform method using delta-type potentials and their Darboux transformations. In this case, the problem of the properties of scattering data reduces to studying explicitly given entire functions of the spectral parameter.
Keywords: inverse spectral problem, additional spectrum, Korteweg–de Vries equation, second Painlevé equation.
Funding agency Grant number
Russian Academy of Sciences - Federal Agency for Scientific Organizations
Russian Foundation for Basic Research 14-01-96501 р-юг_а
13-01-12460-офи_м-2013
13-01-00070
Ministry of Education and Science of the Russian Federation НШ-3139.2014.2
Received: 25.08.2014
English version:
Theoretical and Mathematical Physics, 2015, Volume 183, Issue 1, Pages 540–552
DOI: https://doi.org/10.1007/s11232-015-0280-4
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. B. Shabat, “Scattering theory for delta-type potentials”, TMF, 183:1 (2015), 105–119; Theoret. and Math. Phys., 183:1 (2015), 540–552
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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