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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 (2 + 1)‐dimensional nonlinear partial differential equation. The resulting theory is applied to the (2 + 1)‐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.

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Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:534017
DOI: 10.1155/2014/534017
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