A series of variable separation solutions and new soliton structures of (2+1)-dimensional Korteweg-de Vries equation

作者：Xu Chang Zhi^*

来源：Communications in Theoretical Physics, 2006, 46(3): 403-406.

• variable separation approach
• (2+1)-dimensional KdV equation
• new soliton excitation

Variable separation approach is introduced to solve the (2+1)-dimensional KdV equation. A series of variable separation solutions is derived with arbitrary functions in system. We present a new soliton excitation model (24). Based on this excitation, new soliton structures such as the multi-lump soliton and periodic soliton are revealed by selecting the arbitrary function appropriately.

• 出版日期2006-9-15