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文章基本信息

  • 标题:Nonlinear Stability of the Periodic Traveling Wave Solution for a Class of Coupled KdV Equations
  • 本地全文:下载
  • 作者:Cong Sun
  • 期刊名称:Advances in Mathematical Physics
  • 印刷版ISSN:1687-9120
  • 电子版ISSN:1687-9139
  • 出版年度:2020
  • 卷号:2020
  • 页码:1-6
  • DOI:10.1155/2020/3875038
  • 出版社:Hindawi Publishing Corporation
  • 摘要:In this paper, by applying the Jacobian ellipse function method, we obtain a group of periodic traveling wave solution of coupled KdV equations. Furthermore, by the implicit function theorem, the relation between some wave velocity and the solution’s period is researched. Lastly, we show that this type of solution is orbitally stable by periodic perturbations of the same wavelength as the underlying wave.
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