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, 2022, Volume 211, Number 3, Pages 375–393
DOI: https://doi.org/10.4213/tmf10241 (Mi tmf10241) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Local and nonlocal complex discrete sine-Gordon equation. Solutions and continuum limits

Xiao-bo Xiang, Wei Feng, Song-lin Zhao

Department of Applied Mathematics, Zhejiang University of Technology, Hangzhou, China
Full-text PDF (2248 kB) Citations (2)
References:
PDF
HTML
DOI: https://doi.org/10.4213/tmf10241
Abstract: We study local and nonlocal complex reductions of a discrete negative-order Ablowitz–Kaup–Newell–Segur equation. For the resulting local and nonlocal complex discrete sine-Gordon equations, we construct solutions of the Cauchy matrix type, including soliton solutions and Jordan-block solutions. The dynamics of $1$-soliton solutions are analyzed and illustrated. Continuum limits of the resulting local and nonlocal complex discrete sine-Gordon equations are discussed.
Keywords: local and nonlocal complex discrete sine-Gordon equation, Cauchy matrix solution, dynamics, continuum limit.
Funding agency Grant number
National Natural Science Foundation of China 12071432
11401529
Zhejiang Provincial Natural Science Foundation of China LY18A010033
This project is supported by the National Natural Science Foundation of China (Nos. 12071432 and 11401529) and the Natural Science Foundation of Zhejiang Province (No. LY18A010033).
Received: 05.01.2022
Revised: 06.02.2022
English version:
Theoretical and Mathematical Physics, 2022, Volume 211, Issue 3, Pages 758–774
DOI: https://doi.org/10.1134/S0040577922060022
Bibliographic databases:
Document Type: Article
PACS: 14
MSC: 39A10,35Q51
Language: Russian
Citation: Xiao-bo Xiang, Wei Feng, Song-lin Zhao, “Local and nonlocal complex discrete sine-Gordon equation. Solutions and continuum limits”, TMF, 211:3 (2022), 375–393; Theoret. and Math. Phys., 211:3 (2022), 758–774
Citation in format AMSBIB
\Bibitem{XiaFenZha22}
\by Xiao-bo~Xiang, Wei~Feng, Song-lin~Zhao
\paper Local and nonlocal complex discrete sine-Gordon equation. Solutions and continuum limits
\jour TMF
\yr 2022
\vol 211
\issue 3
\pages 375--393
\mathnet{http://mi.mathnet.ru/tmf10241}
\crossref{https://doi.org/10.4213/tmf10241}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4461533}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2022TMP...211..758X}
\transl
\jour Theoret. and Math. Phys.
\yr 2022
\vol 211
\issue 3
\pages 758--774
\crossref{https://doi.org/10.1134/S0040577922060022}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85132695685}
Linking options:
  • https://www.mathnet.ru/eng/tmf10241
  • https://doi.org/10.4213/tmf10241
  • https://www.mathnet.ru/eng/tmf/v211/i3/p375
    • This publication is cited in the following 2 articles:
    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:138
    Full-text PDF :19
    References:49
    First page:6
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024