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Zapiski Nauchnykh Seminarov POMI, 1994, Volume 215, Pages 38–49 (Mi znsl5921)  
This article is cited in 1 scientific paper (total in 1 paper)

Do nonsingular globaly bounded positon solutions exist?

Roland Beutlerab, Vladimir B. Matveevab

a St. Petersburg Department of V. A. Steklov Institute of Mathematics of the Russian Academy of Sciences
b Max-Planck-Institut für Metallforschung, Institut für Physik, Stuttgart
Full-text PDF (441 kB) Citations (1)
Abstract: The positon solutions discovered so far for several nonlinear evolution equations are singular solutions. It is shown that for a discrete version of the well known sinh-Gordon equation non-singular positon solutions exist. Under appropriate restrictions on the parameters of the construction they are globaly bounded. In the continuum limit the corresponding (singular) solutions of the sinh-Gordon equation are recovered. Bibliography: 11 titles.
Key words and phrases: discrete sinh-Gordon equation, positon solutions.
Received: 01.03.1994
English version:
Journal of Mathematical Sciences (New York), 1997, Volume 85, Issue 1, Pages 1578–1585
DOI: https://doi.org/10.1007/BF02355318
Bibliographic databases:
Document Type: Article
UDC: 530.145
Language: English
Citation: Roland Beutler, Vladimir B. Matveev, “Do nonsingular globaly bounded positon solutions exist?”, Differential geometry, Lie groups and mechanics. Part 14, Zap. Nauchn. Sem. POMI, 215, Nauka, St. Petersburg, 1994, 38–49; J. Math. Sci. (New York), 85:1 (1997), 1578–1585
Citation in format AMSBIB
\Bibitem{BeuMat94}
\by Roland~Beutler, Vladimir~B.~Matveev
\paper Do nonsingular globaly bounded positon solutions exist?
\inbook Differential geometry, Lie groups and mechanics. Part~14
\serial Zap. Nauchn. Sem. POMI
\yr 1994
\vol 215
\pages 38--49
\publ Nauka
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl5921}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1329973}
\zmath{https://zbmath.org/?q=an:0866.39003|0907.39014}
\transl
\jour J. Math. Sci. (New York)
\yr 1997
\vol 85
\issue 1
\pages 1578--1585
\crossref{https://doi.org/10.1007/BF02355318}
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    • 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
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