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 208, Number 1, Pages 15–38
DOI: https://doi.org/10.4213/tmf10072 (Mi tmf10072) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Kadomtsev–Petviashvili hierarchies of types B and C

A. V. Zabrodin

Skolkovo Institute of Science and Technology, Moscow, Russia
Full-text PDF (522 kB) Citations (7)
References:
PDF
HTML
DOI: https://doi.org/10.4213/tmf10072
Abstract: This is a short review of the Kadomtsev–Petviashvili hierarchies of types B and C. The main objects are the $L$ operator, the wave operator, the auxiliary linear problems for the wave function, the bilinear identity for the wave function, and the tau function. All of them are discussed in the paper. Connections with the usual (type-A) Kadomtsev–Petviashvili hierarchy are clarified. Examples of soliton solutions and the dispersionless limit of the hierarchies are also considered.
Keywords: Kadomtsev–Petviashvili hierarchies, tau function, soliton solutions.
Funding agency Grant number
Russian Science Foundation 19-11-00275
This work was supported by the Russian Science Foundation under grant No 19-11-00275).
Received: 04.02.2021
Revised: 04.02.2021
English version:
Theoretical and Mathematical Physics, 2021, Volume 208, Issue 1, Pages 865–885
DOI: https://doi.org/10.1134/S0040577921070023
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. V. Zabrodin, “Kadomtsev–Petviashvili hierarchies of types B and C”, TMF, 208:1 (2021), 15–38; Theoret. and Math. Phys., 208:1 (2021), 865–885
Citation in format AMSBIB
\Bibitem{Zab21}
\by A.~V.~Zabrodin
\paper Kadomtsev--Petviashvili hierarchies of types B and C
\jour TMF
\yr 2021
\vol 208
\issue 1
\pages 15--38
\mathnet{http://mi.mathnet.ru/tmf10072}
\crossref{https://doi.org/10.4213/tmf10072}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2021TMP...208..865Z}
\elib{https://elibrary.ru/item.asp?id=46969755}
\transl
\jour Theoret. and Math. Phys.
\yr 2021
\vol 208
\issue 1
\pages 865--885
\crossref{https://doi.org/10.1134/S0040577921070023}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000673296600002}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85110894636}
Linking options:
  • https://www.mathnet.ru/eng/tmf10072
  • https://doi.org/10.4213/tmf10072
  • https://www.mathnet.ru/eng/tmf/v208/i1/p15
    • This publication is cited in the following 7 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:195
    Full-text PDF :68
    References:31
    First page:6
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024