Teoreticheskaya i Matematicheskaya Fizika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


TMF:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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)
References:
PDF
HTML
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
\Bibitem{Sha15}
\by A.~B.~Shabat
\paper Scattering theory for delta-type potentials
\jour TMF
\yr 2015
\vol 183
\issue 1
\pages 105--119
\mathnet{http://mi.mathnet.ru/tmf8783}
\crossref{https://doi.org/10.4213/tmf8783}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3399636}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2015TMP...183..540S}
\elib{https://elibrary.ru/item.asp?id=23421737}
\transl
\jour Theoret. and Math. Phys.
\yr 2015
\vol 183
\issue 1
\pages 540--552
\crossref{https://doi.org/10.1007/s11232-015-0280-4}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000353242500007}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84928252333}
Linking options:
  • https://www.mathnet.ru/eng/tmf8783
  • https://doi.org/10.4213/tmf8783
  • https://www.mathnet.ru/eng/tmf/v183/i1/p105
    • This publication is cited in the following 4 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. M. Sh. Badakhov, A. B. Shabat, “Darboux transformations in the inverse scattering problem”, Ufa Math. J., 8:4 (2016), 42–51  mathnet  crossref  isi  elib
    3. 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
    4. A. B. Shabat, “Inverse spectral problem for delta potentials”, JETP Letters, 102:9 (2015), 620–623  mathnet  crossref  crossref  isi  elib
    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
    Statistics & downloads:
    Abstract page:646
    Full-text PDF :217
    References:123
    First page:93
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025