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Teoreticheskaya i Matematicheskaya Fizika, 2014, Volume 179, Number 3, Pages 303–316
DOI: https://doi.org/10.4213/tmf8662 (Mi tmf8662) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Rational interpolation and solitons

A. B. Shabatab

a Landau Institute for Theoretical Physics, RAS, Chernogolovka, Moscow Oblast, Russia
b Aliev Karachaev--Cherkess State University, Karachaevsk, Russia
Full-text PDF (513 kB) Citations (5)
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DOI: https://doi.org/10.4213/tmf8662
Abstract: We consider the general construction scheme for second-order spectral problems, for which the semiclassical approximation is exact. We show that the inverse spectral problem in this case reduces to the classical interpolation problem for meromorphic functions.
Keywords: inverse spectral problem, semiclassical approximation, interpolation of meromorphic functions.
Received: 18.02.2014
English version:
Theoretical and Mathematical Physics, 2014, Volume 179, Issue 3, Pages 637–648
DOI: https://doi.org/10.1007/s11232-014-0168-8
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. B. Shabat, “Rational interpolation and solitons”, TMF, 179:3 (2014), 303–316; Theoret. and Math. Phys., 179:3 (2014), 637–648
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tmf8662
  • https://doi.org/10.4213/tmf8662
  • https://www.mathnet.ru/eng/tmf/v179/i3/p303
    • This publication is cited in the following 5 articles:
    1. A. B. Shabat, “Constructive scattering theory”, Theoret. and Math. Phys., 193:1 (2017), 1420–1428  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
    2. A. B. Shabat, “Functional Cantor equation”, Theoret. and Math. Phys., 189:3 (2016), 1712–1717  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
    3. A. B. Shabat, “Scattering theory for delta-type potentials”, Theoret. and Math. Phys., 183:1 (2015), 540–552  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
    4. A. B. Shabat, “Difference Schrödinger equation and quasisymmetric polynomials”, Theoret. and Math. Phys., 184:2 (2015), 1067–1077  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
    5. M. Sh. Badakhov, O. Yu. Veremeenko, A. B. Shabat, “Ob asimptotike obobschennykh sobstvennykh znachenii operatora Shredingera”, Vladikavk. matem. zhurn., 16:4 (2014), 9–15  mathnet
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Abstract page:647
    Full-text PDF :240
    References:103
    First page:61
     
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