Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Zh. Vychisl. Mat. Mat. Fiz.:
Year:
Volume:
Issue:
Page:
Find




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

Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2008, Volume 48, Number 4, Pages 713–724 (Mi zvmmf160)  
This article is cited in 13 scientific papers (total in 13 papers)

Iterative method for finding the eigenfunctions of a system of two Schrödinger equations with combined nonlinearity

O. V. Matusevich, V. A. Trofimov

Faculty of Computational Mathematics and Cybernetics, Moscow State University, Leninskie gory, Moscow, 119992, Russia
Full-text PDF (1652 kB) Citations (13)
References:
PDF
HTML
Abstract: An iterative method is proposed to determine the eigenfunctions of a system of two nonlinear Schrödinger equations governing the interaction of two femtosecond pulses in a medium with quadratic and cubic nonlinearity. The method produces soliton solutions of a new form for a wide range of nonlinearity coefficients corresponding to the first and second eigenvalues. A specially chosen initial approximation is required to determine the third and higher eigenfunctions.
Key words: nonlinear Schrödinger equation, iterative method, eigenfunction, eigenvalue, soliton, femtosecond pulse.
Received: 14.05.2007
Revised: 22.10.2007
English version:
Computational Mathematics and Mathematical Physics, 2008, Volume 48, Issue 4, Pages 677–687
DOI: https://doi.org/10.1134/S0965542508040143
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: O. V. Matusevich, V. A. Trofimov, “Iterative method for finding the eigenfunctions of a system of two Schrödinger equations with combined nonlinearity”, Zh. Vychisl. Mat. Mat. Fiz., 48:4 (2008), 713–724; Comput. Math. Math. Phys., 48:4 (2008), 677–687
Citation in format AMSBIB
\Bibitem{MatTro08}
\by O.~V.~Matusevich, V.~A.~Trofimov
\paper Iterative method for finding the eigenfunctions of a~system of two Schr\"odinger equations with combined nonlinearity
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2008
\vol 48
\issue 4
\pages 713--724
\mathnet{http://mi.mathnet.ru/zvmmf160}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2432811}
\zmath{https://zbmath.org/?q=an:1164.35494}
\transl
\jour Comput. Math. Math. Phys.
\yr 2008
\vol 48
\issue 4
\pages 677--687
\crossref{https://doi.org/10.1134/S0965542508040143}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000262333800014}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-43249092200}
Linking options:
  • https://www.mathnet.ru/eng/zvmmf160
  • https://www.mathnet.ru/eng/zvmmf/v48/i4/p713
    • This publication is cited in the following 13 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
    Statistics & downloads:
    Abstract page:468
    Full-text PDF :198
    References:60
    First page:16
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024