(2+1)维破裂孤子方程的复合波激发及分形结构

Complex Wave Excitations and Fractal Structures for the (2+1)-Dimensional Breaking Soliton Equation

利用Riccati方程(ξ'=a_0+a_1ξ+a_2ξ~2)展开法和变量分离法,得到了(2+1)维破裂孤子方程包含q=C_1x+C_2y+C_3t+R(x,y,t)的复合波解。根据得到的解,研究该方程新颖的复合波局域激发和分形结构。

Complex Wave Excitations and Fractal Structures for the （2＋1） Dimensional Breaking Soliton Equation LIU Xuwen, LI Shi, MA Songhua （Faculty of Engineering, Lishui University, Lishui 323000, Zhejiang） Abstract：A new family of exact complex wave solutions with q=C1x＋C2y＋C3t＋R（x,y,t）for the （2＋1）- 2 dimensional breaking soliton equation is derived by the Riccati equation （ξ＇=a0＋a1ξ＋a2ξ2）expansion method and a linear variable separation method. Based on the derived solution, some novel complex wave localized excitations and fractal structures are investigated .