使用一致 Riccati 扩大方法,延长(2+1 ) 维的浅水波浪方程被证明一致 Riccati 可解决,包括 soliton-cnoidal 的准确相互作用答案挥动答案,打 solitoff 的答案被获得。在截断的 Painlev 湡慳x 的帮助下
Applying the consistent Riccati expansion method, the extended (2+1)-dimensional shallow water wave equation is proved consistent Riccati solvable and the exact interaction solutions including soliton-cnoidal wave solutions, solitoff-typed solutions are obtained. With the help of the truncated Painleve expansion, the corresponding nonlocal symmetry is also given, and furthermore, the nonlocal symmetry is localized by prolonging the related enlarged system.