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

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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.

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Authors and Affiliations

  1. College of Sciences, Inner Mongolia University of Technology, Hohhot, China

    J. Pang & L. C. He

  2. Department of Mathematics, Harbin Institute of Technology, Harbin, China

    Z. L. Zhao

Authors
  1. J. Pang
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  2. L. C. He
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  3. Z. L. Zhao
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Correspondence to J. Pang.

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The article was submitted by the authors for the English version of the journal.

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Pang, J., He, L.C. & Zhao, Z.L. On One- and Two-Periodic Wave Solutions of the Ninth-Order KdV Equation. Math Notes 103, 943–951 (2018). https://doi.org/10.1134/S0001434618050310

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  • DOI: https://doi.org/10.1134/S0001434618050310

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