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

Zhonglong Zhao, Yufeng Zhang and Tiecheng Xia

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

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.

Date: 2014
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https://doi.org/10.1155/2014/534017

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:534017

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