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Matematicheskie Zametki, 2018, Volume 103, Issue 6, paper published in the English version journal (Mi mzm10821)  
This article is cited in 1 scientific paper (total in 1 paper)

Papers published in the English version of the journal

On One- and Two-Periodic Wave Solutions of the Ninth-Order KdV Equation

J. Panga, L. C. Hea, Z. L. Zhaob

a College of Sciences, Inner Mongolia University of Technology, Hohhot, China
b Department of Mathematics, Harbin Institute of Technology, Harbin, China
Citations (1)
Abstract: In this paper, periodic wave solutions of the ninth-order KdV equation are constructed and expressed explicitily in terms of bilinear forms obtained on the basis of a multidimensional Riemann theta-function. The dynamic futures of these solutions are discussed.
Keywords: ninth-order KdV equation, Hirota bilinear method, Riemann theta-function, periodic wave solution.
Funding agency Grant number
National Natural Science Foundation of China 11561051
Key Research Projects of Inner Mongolia higher school NJZZ14053
This work was supported in part by the National Natural Science Foundation of China (project no. 11561051), the Key Research Projects of Inner Mongolia higher school (project no. NJZZ14053).
Received: 28.09.2014
Revised: 27.11.2015
English version:
Mathematical Notes, 2018, Volume 103, Issue 6, Pages 943–951
DOI: https://doi.org/10.1134/S0001434618050310
Bibliographic databases:
Document Type: Article
Language: English
Citation: J. Pang, L. C. He, Z. L. Zhao, “On One- and Two-Periodic Wave Solutions of the Ninth-Order KdV Equation”, Math. Notes, 103:6 (2018), 943–951
Citation in format AMSBIB
\Bibitem{PanHeZha18}
\by J.~Pang, L.~C.~He, Z.~L.~Zhao
\paper On One- and Two-Periodic Wave Solutions
of the Ninth-Order KdV Equation
\jour Math. Notes
\yr 2018
\vol 103
\issue 6
\pages 943--951
\mathnet{http://mi.mathnet.ru/mzm10821}
\crossref{https://doi.org/10.1134/S0001434618050310}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3830474}
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85049142242}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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