Volume 10 Issue 3
New Periodic Solitary-Wave Solutions to the (3+1)- Dimensional Kadomtsev-Petviashvili Equation
Zitian Li,Zhengde Dai andJun Liu
1College of Mathematics and Information Science Qujing Normal University, Qujing Yunnan 655011, China
2School of Mathematics and Statistics, Yunnan University, KunmingYunnan 650091, China
*Author to whom correspondence should be addressed.
Abstract
By the extended homoclinic test technique, explicit solutions of the (3+1)-dimensional Kadomtsev-Petviashvili(KP) equation are obtained. These solutions include doubly periodic wave solutions, doubly soliton solutions and periodic solitary-wave solutions. It is shown that the extended homoclinic test technique is a straightforward and powerful mathematical tool for solving nonlinear evolution equation.
Keywords: Extended homoclinic test; Doubly periodic; Soliton; Periodic solitary wave