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 210, Number 2, Pages 213–228
DOI: https://doi.org/10.4213/tmf10102 (Mi tmf10102) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Multisoliton and rational solutions for the extended fifth-order KdV equation in fluids with self-consistent sources

F. Li, Yuqin Yao

Department of Applied Mathematics, China Agricultural University, Beijing, China
Full-text PDF (1455 kB) Citations (1)
References:
PDF
HTML
DOI: https://doi.org/10.4213/tmf10102
Abstract: Based on the high-order restricted flows of the extended fifth-order KdV (efKdV) equation, the efKdV equation with self-consistent sources (efKdVESCS) is presented and its Lax pair is constructed. Two types of $N$th Darboux transformations for the efKdVESCS are constructed. By using Darboux transformations, some types of solutions including one-soliton, two-soliton, and rational solution are explicitly obtained.
Keywords: extended fifth-order KdV equation with self-consistent sources, restricted flow, Darboux transformation, multisoliton, rational solution.
Funding agency Grant number
National Natural Science Foundation of China 11471182
This work was supported by the National Natural Science Foundation of China (Grant No. 11471182).
Received: 27.03.2021
Revised: 05.08.2021
English version:
Theoretical and Mathematical Physics, 2022, Volume 210, Issue 2, Pages 184–197
DOI: https://doi.org/10.1134/S0040577922020039
Bibliographic databases:
Document Type: Article
PACS: 02.03.lk
Language: Russian
Citation: F. Li, Yuqin Yao, “Multisoliton and rational solutions for the extended fifth-order KdV equation in fluids with self-consistent sources”, TMF, 210:2 (2022), 213–228; Theoret. and Math. Phys., 210:2 (2022), 184–197
Citation in format AMSBIB
\Bibitem{LiYao22}
\by F.~Li, Yuqin~Yao
\paper Multisoliton and rational solutions for the~extended fifth-order KdV equation in fluids with self-consistent sources
\jour TMF
\yr 2022
\vol 210
\issue 2
\pages 213--228
\mathnet{http://mi.mathnet.ru/tmf10102}
\crossref{https://doi.org/10.4213/tmf10102}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4461492}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2022TMP...210..184L}
\transl
\jour Theoret. and Math. Phys.
\yr 2022
\vol 210
\issue 2
\pages 184--197
\crossref{https://doi.org/10.1134/S0040577922020039}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000759620100003}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85125477934}
Linking options:
  • https://www.mathnet.ru/eng/tmf10102
  • https://doi.org/10.4213/tmf10102
  • https://www.mathnet.ru/eng/tmf/v210/i2/p213
    • 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
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
    Statistics & downloads:
    Abstract page:139
    Full-text PDF :20
    References:45
    First page:10
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024