,Similarity Reductions and Similarity Solutions of the (3+1)-Dimensional Kadomtsev-Petviashvili Equa

• 作 者: LIU Na LIU Xi-Qiang
• 机 构: School of Mathematical Sciences, Liaocheng University, Liaocheng 252059Received 2008-06-25
• 出 处: 中国物理快报（英文版）
• 发表日期: 2008年10期

Employing the compatibility method, we obtain the symmetries of the (3+1)-dimensional Kadomtsev-Petviashvili(KP) equation. Four types of similarity reductions of the KP equation are obtained by solving the corresponding characteristic equations associated with symmetry equations. In addition, a lot of similarity solutions to the KP equation are obtained.