Loading [MathJax]/jax/output/SVG/config.js
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, 2005, Volume 144, Number 2, Pages 257–276
DOI: https://doi.org/10.4213/tmf1851 (Mi tmf1851) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Spectral Theory of the Nonstationary Schrodinger Equation with a Two-Dimensionally Perturbed Arbitrary One-Dimensional Potential

M. Boitia, F. Pempinellia, A. K. Pogrebkovb, B. Prinaria

a Lecce University
b Steklov Mathematical Institute, Russian Academy of Sciences
Full-text PDF (288 kB) Citations (3)
References:
PDF
HTML
DOI: https://doi.org/10.4213/tmf1851
Abstract: We consider the nonstationary Schrodinger equation with the potential being a perturbation of a generic one-dimensional potential by means of a decaying two-dimensional function in the framework of the extended resolvent approach. We give the corresponding modification of the Jost and advanced/retarded solutions and spectral data and present relations between them.
Keywords: inverse scattering transform, resolvent approach, Kadomtsev–Petviashvili equation.
English version:
Theoretical and Mathematical Physics, 2005, Volume 144, Issue 2, Pages 1100–1116
DOI: https://doi.org/10.1007/s11232-005-0139-1
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: M. Boiti, F. Pempinelli, A. K. Pogrebkov, B. Prinari, “Spectral Theory of the Nonstationary Schrodinger Equation with a Two-Dimensionally Perturbed Arbitrary One-Dimensional Potential”, TMF, 144:2 (2005), 257–276; Theoret. and Math. Phys., 144:2 (2005), 1100–1116
Citation in format AMSBIB
\Bibitem{BoiPemPog05}
\by M.~Boiti, F.~Pempinelli, A.~K.~Pogrebkov, B.~Prinari
\paper Spectral Theory of the Nonstationary Schrodinger Equation with a Two-Dimensionally Perturbed Arbitrary One-Dimensional Potential
\jour TMF
\yr 2005
\vol 144
\issue 2
\pages 257--276
\mathnet{http://mi.mathnet.ru/tmf1851}
\crossref{https://doi.org/10.4213/tmf1851}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2194279}
\zmath{https://zbmath.org/?q=an:1178.37096}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2005TMP...144.1100B}
\elib{https://elibrary.ru/item.asp?id=17703435}
\transl
\jour Theoret. and Math. Phys.
\yr 2005
\vol 144
\issue 2
\pages 1100--1116
\crossref{https://doi.org/10.1007/s11232-005-0139-1}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000232092900005}
Linking options:
  • https://www.mathnet.ru/eng/tmf1851
  • https://doi.org/10.4213/tmf1851
  • https://www.mathnet.ru/eng/tmf/v144/i2/p257
    • This publication is cited in the following 3 articles:
    1. M. Boiti, F. Pempinelli, A. K. Pogrebkov, B. Prinari, “Building an extended resolvent of the heat operator via twisting transformations”, Theoret. and Math. Phys., 159:3 (2009), 721–733  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    2. Boiti M, Pempinelli F, Pogrebkov AK, “On the extended resolvent of the nonstationary Schrodinger operator for a Darboux transformed potential”, Journal of Physics A-Mathematical and General, 39:8 (2006), 1877–1898  crossref  mathscinet  zmath  adsnasa  isi  scopus  scopus
    3. Boiti M, Pempinelli F, Pogrebkov AK, “Scattering transform for nonstationary Schrodinger equation with bidimensionally perturbed N-soliton potential”, Journal of Mathematical Physics, 47:12 (2006), 123510  crossref  mathscinet  zmath  adsnasa  isi  scopus  scopus
    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:620
    Full-text PDF :218
    References:85
    First page:2
     
      Contact us:
    math-net2025_04@mi-ras.ru     		 Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025