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Papers published in the English version of the journal

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

J. Pang^a, L. C. He^a, Z. L. Zhao<sup>b

a</sup> 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

Language: English

 English version: Mathematical Notes, 2018, 103:6, 943–951

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