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Teoreticheskaya i Matematicheskaya Fizika, 2002, Volume 133, Number 2, Pages 202–210
DOI: https://doi.org/10.4213/tmf390
(Mi tmf390)
 

This article is cited in 23 scientific papers (total in 23 papers)

Separation of Variables in a Nonlinear Wave Equation with a Variable Wave Speed

P. G. Esteveza, C. Qub

a University of Salamanca
b Northwest University
References:
Abstract: We develop a generalized conditional symmetry approach for the functional separation of variables in a nonlinear wave equation with a nonlinear wave speed. We use it to obtain a number of new $(1+1)$-dimensional nonlinear wave equations with variable wave speeds admitting a functionally separable solution. As a consequence, we obtain exact solutions of the resulting equations.
Keywords: Lie symmetries, generalized symmetries, diffusion equations, nonlinear equations.
English version:
Theoretical and Mathematical Physics, 2002, Volume 133, Issue 2, Pages 1490–1497
DOI: https://doi.org/10.1023/A:1021190509331
Bibliographic databases:
Language: Russian
Citation: P. G. Estevez, C. Qu, “Separation of Variables in a Nonlinear Wave Equation with a Variable Wave Speed”, TMF, 133:2 (2002), 202–210; Theoret. and Math. Phys., 133:2 (2002), 1490–1497
Citation in format AMSBIB
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\by P.~G.~Estevez, C.~Qu
\paper Separation of Variables in a~Nonlinear Wave Equation with a~Variable Wave Speed
\jour TMF
\yr 2002
\vol 133
\issue 2
\pages 202--210
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\crossref{https://doi.org/10.4213/tmf390}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2001533}
\transl
\jour Theoret. and Math. Phys.
\yr 2002
\vol 133
\issue 2
\pages 1490--1497
\crossref{https://doi.org/10.1023/A:1021190509331}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000180061400006}
Linking options:
  • https://www.mathnet.ru/eng/tmf390
  • https://doi.org/10.4213/tmf390
  • https://www.mathnet.ru/eng/tmf/v133/i2/p202
  • This publication is cited in the following 23 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
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    Abstract page:445
    Full-text PDF :200
    References:48
    First page:1
     
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