Cross-kink multi-soliton solutions for the (3+1)-D Jimbo-Miwa equation

摘要：

　　In this paper,by using bilinear form and extended three-wave type of ans atz approach,we obtain new cross-kink multi-soliton solutions of the (3+1)-dimensional Jimbo-Miwa equation,including the periodic breather-type of kink three-soliton solutions,the cross-kink four-soliton solutions,the doubly periodic breathertype of soliton solutions and the doubly periodic breather-type of cross-kink two-soliton solutions.It is shown that the generalized three-wave method,with the help of symbolic computation,provides an effective and powerful mathematical tool for solving high dimensional nonlinear evolution equations in mathematical physics.

关键词： Jimbo-Miwa equation Extended three-wave method Cross-kink multi-soliton

作者: Zhenhui Xu Hanlin Chen

作者单位: Applied Technology College, Southwest University of Science and Technology, Mianyang 621010,PR China School of Science, Southwest University of Science and Technology, Mianyang 621010, China

会议类型: 国际会议

会议名称: 2012年国际工程应用数学研讨会

会议地点: 北京

会议语种:英文

页码: 215-218

在线出版日期: 2012-10-26（万方平台首次上网日期，不代表论文的发表时间）