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.
Citation
Zhonglong Zhao. Yufeng Zhang. Tiecheng Xia. "Double Periodic Wave Solutions of the (2 + 1)-Dimensional Sawada-Kotera Equation." Abstr. Appl. Anal. 2014 (SI21) 1 - 6, 2014. https://doi.org/10.1155/2014/534017