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Double Periodic Wave Solutions of the (2 + 1)-Dimensional Sawada-Kotera Equation

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  • Zhonglong Zhao
  • Yufeng Zhang
  • Tiecheng Xia

Abstract

Based on a general Riemann theta function and Hirota’s bilinear forms, we devise a straightforward way to explicitly construct double periodic wave solution of -dimensional nonlinear partial differential equation. The resulting theory is applied to the -dimensional Sawada-Kotera equation, thereby yielding its double periodic wave solutions. The relations between the periodic wave solutions and soliton solutions are rigorously established by a limiting procedure.

Suggested Citation

  • Zhonglong Zhao & Yufeng Zhang & Tiecheng Xia, 2014. "Double Periodic Wave Solutions of the (2 + 1)-Dimensional Sawada-Kotera Equation," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-6, February.
    • Handle: RePEc:hin:jnlaaa:534017
    DOI: 10.1155/2014/534017
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