Yi Zhang et al 2007 J. Phys. A: Math. Theor. 40 5539 doi:10.1088/1751-8113/40/21/006
Yi Zhang, Ling-ya Ye, Yi-neng Lv and Hai-qiong Zhao
Show affiliationsThe Boussinesq equation usually arises in a physical problem as a long wave equation. The present work extends the search of periodic wave solutions for it. The Hirota bilinear method and Riemann theta function are employed in the process. We also analyse the asymptotic property of periodic waves in detail. Furthermore, it is of interest to note that well-known soliton solutions can be reduced from the periodic wave solutions.
Issue 21 (25 May 2007)
Received 16 December 2006, in final form 30 March 2007
Published 8 May 2007
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