With the help of the symbolic computation system Maple, the Riccati equation mapping approach and a linear variable separation approach, a new family of complex solutions for the(2+1)-dimensional Boiti–Leon–Pempinelli system(BLP) is derived. Based on the derived solitary wave solution, some novel complex wave localized excitations are obtained.
借助 Maple 符号计算软件,利用 Riccati 方程（ξ′= a0＋a1ξ＋a2ξ2）展开法和变量分离法,得到了（2＋1）维Korteweg-de Vries方程（KdV）包含q=C1x＋C2y＋C3t＋R（x, y, t）的复合波解。根据得到的孤立波解,构造出KdV方程新颖的复合波裂变和复合波湮灭等局域激发结构。
With the help of the symbolic computation system, Maple and Riccati equation( ξ= a0+ a1ξ+ a22ξ), expansion method, and a linear variable separation approach, a new family of exact solutions with q = lx + my + nt + Γ(x, y,t) for the(2+1)-dimensional generalized Calogero–Bogoyavlenskii–Schiff system(GCBS) are derived. Based on the derived solitary wave solution, some novel localized excitations such as fusion, fission, and annihilation of complex waves are investigated.
