文章基本信息

标题：Cross-kink multi-soliton solutions for the (3+1)-D Jimbo-Miwa equation
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作者：Zhenhui Xu ; Hanlin Chen
期刊名称：Open Journal of Applied Sciences
印刷版ISSN：2165-3917
电子版ISSN：2165-3925
出版年度：2012
卷号：2
期号：4B
页码：215-218
DOI：10.4236/ojapps.2012.24B049
出版社：Scientific Research Publishing
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.