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, 2021, Volume 209, Number 1, Pages 46–58
DOI: https://doi.org/10.4213/tmf10095 (Mi tmf10095) 		 
Explicit breather solution of the nonlinear Schrödinger equation

R. Conteab

a Université Paris-Saclay, ENS Paris-Saclay, CNRS, Centre Borelli, Gif-sur-Yvette, France
b Department of Mathematics, The University of Hong Kong, Hong Kong
Full-text PDF (488 kB)
References:
PDF
HTML
DOI: https://doi.org/10.4213/tmf10095
Abstract: We present a one-line closed-form expression for the three-parameter breather of the nonlinear Schrödinger equation. This provides an analytic proof of the time period doubling observed in experiments. The experimental check that some pulses generated in optical fibers are indeed such generalized breathers will be drastically simplified.
Keywords: modulational instability, nonlinear Schrödinger equation, nonlinear optics, breather, exact solutions.
Funding agency Grant number
Centre international de rencontres mathématiques, Marseille 2311
This work was initiated at the Centre international de rencontres mathématiques, Marseille (grant 2311, year 2019), whose hospitality is gratefully acknowledged.
Received: 15.03.2021
Revised: 15.03.2021
English version:
Theoretical and Mathematical Physics, 2021, Volume 209, Issue 1, Pages 1357–1366
DOI: https://doi.org/10.1134/S0040577921100032
Bibliographic databases:
Document Type: Article
PACS: 02.30.Hq, 02.30.Jr, 03.75.Kk, 03.75.Lm, 42.65.J, 42.65.-k
Language: Russian
Citation: R. Conte, “Explicit breather solution of the nonlinear Schrödinger equation”, TMF, 209:1 (2021), 46–58; Theoret. and Math. Phys., 209:1 (2021), 1357–1366
Citation in format AMSBIB
\Bibitem{Con21}
\by R.~Conte
\paper Explicit breather solution of the~nonlinear Schr\"odinger equation
\jour TMF
\yr 2021
\vol 209
\issue 1
\pages 46--58
\mathnet{http://mi.mathnet.ru/tmf10095}
\crossref{https://doi.org/10.4213/tmf10095}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2021TMP...209.1357C}
\transl
\jour Theoret. and Math. Phys.
\yr 2021
\vol 209
\issue 1
\pages 1357--1366
\crossref{https://doi.org/10.1134/S0040577921100032}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000708924700003}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85117396733}
Linking options:
  • https://www.mathnet.ru/eng/tmf10095
  • https://doi.org/10.4213/tmf10095
  • https://www.mathnet.ru/eng/tmf/v209/i1/p46
    • 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
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024