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Teoreticheskaya i Matematicheskaya Fizika, 1977, Volume 31, Number 1, Pages 23–32 (Mi tmf2850)  

This article is cited in 3 scientific papers (total in 4 papers)

Solutions of “double soliton” type for the multidimensional equation $\Box u=F(u)$

V. S. Buslaev
References:
Abstract: Let $V$ be an even function, the Taylor series of which takes the form $V(u)\sim\frac{u^2}{2!}-\frac{u^4}{4!} + au^6 + \dots$ . It is shown that there exists the unique nontrivial series $u=\sum\limits_{k\geq 0} u_k (\xi,\eta)\mu^{2k}$, $\xi=\mu x$, $\eta=\omega^{-1}\mu\cos \omega t$, $\mu=\sqrt{1-\omega^2}$ ($\omega, \omega^2<1$ – is arbitrary parameter), which satisfies the equation $\Box u=-V'(u)$ and the coefficients of which are exponentially decreasing functions.
Received: 08.07.1976
English version:
Theoretical and Mathematical Physics, 1977, Volume 31, Issue 1, Pages 293–299
DOI: https://doi.org/10.1007/BF01041234
Bibliographic databases:
Language: Russian
Citation: V. S. Buslaev, “Solutions of “double soliton” type for the multidimensional equation $\Box u=F(u)$”, TMF, 31:1 (1977), 23–32; Theoret. and Math. Phys., 31:1 (1977), 293–299
Citation in format AMSBIB
\Bibitem{Bus77}
\by V.~S.~Buslaev
\paper Solutions of ``double soliton'' type for the multidimensional equation $\Box u=F(u)$
\jour TMF
\yr 1977
\vol 31
\issue 1
\pages 23--32
\mathnet{http://mi.mathnet.ru/tmf2850}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=442515}
\zmath{https://zbmath.org/?q=an:0346.35073|0412.35061}
\transl
\jour Theoret. and Math. Phys.
\yr 1977
\vol 31
\issue 1
\pages 293--299
\crossref{https://doi.org/10.1007/BF01041234}
Linking options:
  • https://www.mathnet.ru/eng/tmf2850
  • https://www.mathnet.ru/eng/tmf/v31/i1/p23
  • 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:299
    Full-text PDF :95
    References:46
    First page:3
     
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