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, 2012, Volume 172, Number 2, Pages 181–197
DOI: https://doi.org/10.4213/tmf6970 (Mi tmf6970) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Extended resolvent of the heat operator with a multisoliton potential

M. Boitia, F. Pempinellia, A. K. Pogrebkovb

a Dipartimento di Fisica, Università del Salento and Sezione INFN, Lecce, Italy
b Steklov Mathematical Institute, RAS, Moscow, Russia
Full-text PDF (508 kB) Citations (4)
References:
PDF
HTML
DOI: https://doi.org/10.4213/tmf6970
Abstract: We consider the heat operator with a general multisoliton potential and derive its extended resolvent depending on a parameter $q\in\mathbb{R}^2$. We show that it is bounded in all variables and find its singularities in $q$. We introduce the Green's functions and study their properties in detail.
Keywords: Kadomtsev–Petviashvili equation, heat operator, extended resolvent, soliton.
Funding agency Grant number
Russian Foundation for Basic Research 11-01-00440
Ministry of Education and Science of the Russian Federation НШ-4612.2012.1
Russian Academy of Sciences - Federal Agency for Scientific Organizations
Instituto Nazionale di Fisica Nucleare
Italian Ministry of Education, University and Research PRIN 2008
Received: 13.03.2012
English version:
Theoretical and Mathematical Physics, 2012, Volume 172, Issue 2, Pages 1037–1051
DOI: https://doi.org/10.1007/s11232-012-0094-6
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: M. Boiti, F. Pempinelli, A. K. Pogrebkov, “Extended resolvent of the heat operator with a multisoliton potential”, TMF, 172:2 (2012), 181–197; Theoret. and Math. Phys., 172:2 (2012), 1037–1051
Citation in format AMSBIB
\Bibitem{BoiPemPog12}
\by M.~Boiti, F.~Pempinelli, A.~K.~Pogrebkov
\paper Extended resolvent of the~heat operator with a~multisoliton potential
\jour TMF
\yr 2012
\vol 172
\issue 2
\pages 181--197
\mathnet{http://mi.mathnet.ru/tmf6970}
\crossref{https://doi.org/10.4213/tmf6970}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1308779}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2012TMP...172.1037B}
\elib{https://elibrary.ru/item.asp?id=20732502}
\transl
\jour Theoret. and Math. Phys.
\yr 2012
\vol 172
\issue 2
\pages 1037--1051
\crossref{https://doi.org/10.1007/s11232-012-0094-6}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000309232700002}
\elib{https://elibrary.ru/item.asp?id=20486459}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84866870689}
Linking options:
  • https://www.mathnet.ru/eng/tmf6970
  • https://doi.org/10.4213/tmf6970
  • https://www.mathnet.ru/eng/tmf/v172/i2/p181
    • This publication is cited in the following 4 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:555
    Full-text PDF :177
    References:61
    First page:31
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024