Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Editorial staff
Guidelines for authors
License agreement
Editorial policy

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, 2013, Issue 2(31), Pages 193–199
DOI: https://doi.org/10.14498/vsgtu1177 (Mi vsgtu1177) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Procedings of the 3nd International Conference "Mathematical Physics and its Applications"
Complex Systems, Quantum Mechanics, Information Theory

Solitons and the generalized Cole-Hopf substitutions

A. N. Byzykchi, V. M. Zhuravlev

Ulyanovsk State University, Ulyanovsk, 432017, Russia
Full-text PDF (143 kB) Citations (1)
(published under the terms of the Creative Commons Attribution 4.0 International License)
References:
PDF
HTML
DOI: https://doi.org/10.14498/vsgtu1177
Abstract: This paper examines the relationship between the method of the inverse problem and the method of generalized Cole-Hopf substitutions. The relationship between these methods is established by comparing the method of Darboux transformations and the method of Cole-Hopf substitutions. Concrete examples of using such a relationship are given. Some new examples of the integrable equations are considered.
Keywords: solitons, exactly integrable nonlinear models, Hopf-Cole substitutions.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 2.1894.2011
Russian Foundation for Basic Research 11-01-00747
Original article submitted 16/XI/2012
revision submitted – 27/III/2013
Bibliographic databases:
Document Type: Proceedings
UDC: 534.04:536.12:51-7
MSC: 34F05, 34D20
Language: Russian
Citation: A. N. Byzykchi, V. M. Zhuravlev, “Solitons and the generalized Cole-Hopf substitutions”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2(31) (2013), 193–199
Citation in format AMSBIB
\Bibitem{ByzZhu13}
\by A.~N.~Byzykchi, V.~M.~Zhuravlev
\paper Solitons and the generalized Cole-Hopf substitutions
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2013
\vol 2(31)
\pages 193--199
\mathnet{http://mi.mathnet.ru/vsgtu1177}
\crossref{https://doi.org/10.14498/vsgtu1177}
\elib{https://elibrary.ru/item.asp?id=20236356}
Linking options:
  • https://www.mathnet.ru/eng/vsgtu1177
  • https://www.mathnet.ru/eng/vsgtu/v131/p193
    • 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
    		Вестник Самарского государственного технического университета. Серия: Физико-математические науки
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024