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, 2013, Volume 9, 016, 19 pp.
DOI: https://doi.org/10.3842/SIGMA.2013.016 (Mi sigma799) 		 
This article is cited in 5 scientific papers (total in 5 papers)

A Generalization of the Hopf–Cole Transformation

Paulius Miškinis

Department of Physics, Faculty of Fundamental Sciences, Vilnius Gediminas Technical University, Saulėtekio Ave 11, LT-10223, Vilnius-40, Lithuania
Full-text PDF (390 kB) Citations (5)
References:
PDF
HTML
DOI: https://doi.org/10.3842/SIGMA.2013.016
Abstract: A generalization of the Hopf–Cole transformation and its relation to the Burgers equation of integer order and the diffusion equation with quadratic nonlinearity are discussed. The explicit form of a particular analytical solution is presented. The existence of the travelling wave solution and the interaction of nonlocal perturbation are considered. The nonlocal generalizations of the one-dimensional diffusion equation with quadratic nonlinearity and of the Burgers equation are analyzed.
Keywords: nonlocality; nonlinearity; diffusion equation; Burgers equation.
Received: June 4, 2012; in final form February 17, 2013; Published online February 25, 2013
Bibliographic databases:
Document Type: Article
MSC: 26A33; 35K55; 45K05
Language: English
Citation: Paulius Miškinis, “A Generalization of the Hopf–Cole Transformation”, SIGMA, 9 (2013), 016, 19 pp.
Citation in format AMSBIB
\Bibitem{Mis13}
\by Paulius~Mi{\v s}kinis
\paper A Generalization of the Hopf--Cole Transformation
\jour SIGMA
\yr 2013
\vol 9
\papernumber 016
\totalpages 19
\mathnet{http://mi.mathnet.ru/sigma799}
\crossref{https://doi.org/10.3842/SIGMA.2013.016}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3033558}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000315599900001}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84874442420}
Linking options:
  • https://www.mathnet.ru/eng/sigma799
  • https://www.mathnet.ru/eng/sigma/v9/p16
    • This publication is cited in the following 5 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
    Statistics & downloads:
    Abstract page:232
    Full-text PDF :46
    References:22
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024