摘要
By employing Hirota bilinear method and Riemann theta functions of genus one,explicit triply periodic wave solutions for the(2+1)-dimensional Boussinesq equation are constructed under the Backlund transformation u =(1 /6)(u0 1) + 2[ln f(x,y,t)] xx,four kinds of triply periodic wave solutions are derived,and their long wave limit are discussed.The properties of one of the solutions are shown in Fig.1.
By employing Hirota bilinear method and Riemann theta functions of genus one,explicit triply periodic wave solutions for the（2＋1）-dimensional Boussinesq equation are constructed under the Backlund transformation u =（1 /6）（u0 1） ＋ 2[ln f（x,y,t）] xx,four kinds of triply periodic wave solutions are derived,and their long wave limit are discussed.The properties of one of the solutions are shown in Fig.1.
基金
Supported by the National Natural Science Foundation of China under Grant No. 11101382
the Natural Science Foundation of Henan Province under Grant No. 2010A110001
the Basic and Advanced Technology Project of Henan Province under Grant No. 112300410199
