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Sbornik: Mathematics, 1999, Volume 190, Issue 5, Pages 763–781
DOI: https://doi.org/10.1070/sm1999v190n05ABEH000405 (Mi sm405) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Two-gap elliptic solutions of the Boussinesq equation

A. O. Smirnov

Saint-Petersburg State University of Aerospace Instrumentation
English version PDF (420 kB) Citations (4)
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DOI: https://doi.org/10.1070/sm1999v190n05ABEH000405
Abstract: Two-gap solutions of the Boussinesq equation are considered. It is shown that for almost every Riemann surface $\Gamma$ of genus $g=2$ covering the elliptic surface it is possible to construct an elliptic (in $x$) two-gap solution of the Boussinesq equation. The existence of third- and fourth-order differential operators with elliptic “two-gap” potentials having an arbitrary number of poles is also established. An example is given.
Received: 20.04.1998
Russian version:
Matematicheskii Sbornik, 1999, Volume 190, Number 5, Pages 139–157
DOI: https://doi.org/10.4213/sm405
Bibliographic databases:
UDC: 517.95
MSC: Primary 35Q58; Secondary 35Q53, 58F07
Language: English
Original paper language: Russian
Citation: A. O. Smirnov, “Two-gap elliptic solutions of the Boussinesq equation”, Mat. Sb., 190:5 (1999), 139–157; Sb. Math., 190:5 (1999), 763–781
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    References:103
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