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, 2017, Volume 192, Number 1, Pages 41–50
DOI: https://doi.org/10.4213/tmf9263 (Mi tmf9263) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Families of exact solutions for linear and nonlinear wave equations with a variable speed of sound and their use in solving initial boundary value problems

E. V. Trifonovab

a Institute of Automation and Control Processes, Far Eastern Branch, RAS, Vladivostok, Russia
b Far Eastern Federal University, Vladivostok, Russia
Full-text PDF (375 kB) Citations (3)
References:
PDF
HTML
DOI: https://doi.org/10.4213/tmf9263
Abstract: We propose a procedure for multiplying solutions of linear and nonlinear one-dimensional wave equations, where the speed of sound can be an arbitrary function of one variable. We obtain exact solutions. We show that the functional series comprising these solutions can be used to solve initial boundary value problems. For this, we introduce a special scalar product.
Keywords: exact solution, wave equation, Bäcklund transformation.
Received: 21.07.2016
Revised: 16.11.2016
English version:
Theoretical and Mathematical Physics, 2017, Volume 192, Issue 1, Pages 974–981
DOI: https://doi.org/10.1134/S0040577917070030
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: E. V. Trifonov, “Families of exact solutions for linear and nonlinear wave equations with a variable speed of sound and their use in solving initial boundary value problems”, TMF, 192:1 (2017), 41–50; Theoret. and Math. Phys., 192:1 (2017), 974–981
Citation in format AMSBIB
\Bibitem{Tri17}
\by E.~V.~Trifonov
\paper Families of exact solutions for linear and nonlinear wave equations with a~variable speed of sound and their use in solving initial boundary value problems
\jour TMF
\yr 2017
\vol 192
\issue 1
\pages 41--50
\mathnet{http://mi.mathnet.ru/tmf9263}
\crossref{https://doi.org/10.4213/tmf9263}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3670246}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2017TMP...192..974T}
\elib{https://elibrary.ru/item.asp?id=29438855}
\transl
\jour Theoret. and Math. Phys.
\yr 2017
\vol 192
\issue 1
\pages 974--981
\crossref{https://doi.org/10.1134/S0040577917070030}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000407759300003}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85027394757}
Linking options:
  • https://www.mathnet.ru/eng/tmf9263
  • https://doi.org/10.4213/tmf9263
  • https://www.mathnet.ru/eng/tmf/v192/i1/p41
    • This publication is cited in the following 3 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
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024