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

J. Pang; L. C. He; Z. L. Zhao

doi:10.1134/S0001434618050310

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

Authors: Pang J.¹, He L.C.¹, Zhao Z.L.²
Affiliations:
1. College of Sciences
2. Department of Mathematics
Issue: Vol 103, No 5-6 (2018)
Pages: 943-951
Section: Article
URL: https://journals.rcsi.science/0001-4346/article/view/151006
DOI: https://doi.org/10.1134/S0001434618050310
ID: 151006

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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.