Symmetry, Integrability and Geometry: Methods and Applications
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



SIGMA:
Year:
Volume:
Issue:
Page:
Find






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


Symmetry, Integrability and Geometry: Methods and Applications, 2006, Volume 2, 078, 12 pp.
DOI: https://doi.org/10.3842/SIGMA.2006.078
(Mi sigma106)
 

This article is cited in 18 scientific papers (total in 18 papers)

Integrable Hierarchy of Higher Nonlinear Schrödinger Type Equations

Anjan Kundu

Saha Institute of Nuclear Physics, Theory Group & Centre for Applied Mathematics & Computational Science, 1/AF Bidhan Nagar, Calcutta 700 064, India
References:
Abstract: Addition of higher nonlinear terms to the well known integrable nonlinear Schrödinger (NLS) equations, keeping the same linear dispersion (LD) usually makes the system nonintegrable. We present a systematic method through a novel Eckhaus–Kundu hierarchy, which can generate higher nonlinearities in the NLS and derivative NLS equations preserving their integrability. Moreover, similar nonlinear integrable extensions can be made again in a hierarchical way for each of the equations in the known integrable NLS and derivative NLS hierarchies with higher order LD, without changing their LD.
Keywords: NLSE & DNLSE; higher nonlinearity; linear dispersion preservation; integrable Eckhaus–Kundu hierarchy.
Received: August 14, 2006; in final form October 17, 2006; Published online November 10, 2006
Bibliographic databases:
Document Type: Article
Language: English
Citation: Anjan Kundu, “Integrable Hierarchy of Higher Nonlinear Schrödinger Type Equations”, SIGMA, 2 (2006), 078, 12 pp.
Citation in format AMSBIB
\Bibitem{Kun06}
\by Anjan Kundu
\paper Integrable Hierarchy of Higher Nonlinear Schr\"odinger Type Equations
\jour SIGMA
\yr 2006
\vol 2
\papernumber 078
\totalpages 12
\mathnet{http://mi.mathnet.ru/sigma106}
\crossref{https://doi.org/10.3842/SIGMA.2006.078}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2264894}
\zmath{https://zbmath.org/?q=an:1132.35342}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000207065100077}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84889234789}
Linking options:
  • https://www.mathnet.ru/eng/sigma106
  • https://www.mathnet.ru/eng/sigma/v2/p78
  • This publication is cited in the following 18 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Symmetry, Integrability and Geometry: Methods and Applications
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024