利用改进的Riccad方程映射法和变量分离法,得到了扩展的(2+1)维浅水波方程的变量分离解(包括孤波解,周期波解和有理函数解).根据得到的孤波解,构造出了方程的几种不同形状的尖峰孤子结构,研究了孤子的相互作用.
By an improved Riccati mapping approach and a variable separation approach, a new family of variable separation solutions (including solitory wave solutions, periodic wave solutions, and rational function solutions) of the extended (2+ 1)-dimensional shallow water wave (SWW) equation is derived. According to the derived solitary wave excitation, we obtain some special peaked soliton structures and study the interaction between solitons.