Trudy Instituta Matematiki i Mekhaniki UrO RAN
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


Trudy Inst. Mat. i Mekh. UrO RAN:
Year:
Volume:
Issue:
Page:
Find




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

Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2010, Volume 16, Number 2, Pages 288–296 (Mi timm569)  
This article is cited in 1 scientific paper (total in 1 paper)

Optimized autophasing of solitons

A. E. El'bert, A. R. Danilina

a Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
Full-text PDF (215 kB) Citations (1)
References:
PDF
HTML
Abstract: The effect of an external wave perturbation with a slowly varying frequency on a soliton of the nonlinear Schrödinger equation is investigated. For equations describing the time evolution of parameters of the perturbed soliton, a standard system with fast and slow variables is constructed. The problem of maximizing the averaged amplitude of the perturbed soliton in the principal order of the amplitude of the external perturbation is solved.
Keywords: autophasing of solitons, autoresonance, averaging method.
Received: 28.08.2009
Bibliographic databases:
Document Type: Article
UDC: 517.928.7+517.977.58
Language: Russian
Citation: A. E. El'bert, A. R. Danilin, “Optimized autophasing of solitons”, Trudy Inst. Mat. i Mekh. UrO RAN, 16, no. 2, 2010, 288–296
Citation in format AMSBIB
\Bibitem{ElbDan10}
\by A.~E.~El'bert, A.~R.~Danilin
\paper Optimized autophasing of solitons
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2010
\vol 16
\issue 2
\pages 288--296
\mathnet{http://mi.mathnet.ru/timm569}
\elib{https://elibrary.ru/item.asp?id=14809466}
Linking options:
  • https://www.mathnet.ru/eng/timm569
  • https://www.mathnet.ru/eng/timm/v16/i2/p288
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Trudy Instituta Matematiki i Mekhaniki UrO RAN
    Statistics & downloads:
    Abstract page:310
    Full-text PDF :82
    References:59
    First page:4
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024