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Matematicheskie Zametki, 2018, Volume 103, Issue 6, paper published in the English version journal
(Mi mzm10821)
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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
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.
Received: 28.09.2014 Revised: 27.11.2015
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
Linking options:
https://www.mathnet.ru/eng/mzm10821
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Abstract page: | 185 |
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