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

Zhenhui Xu, Hanlin Chen

Applied Technology College, Southwest University of Science and Technology, Mianyang.
School of Science, Southwest University of Science and Technology, Mianyang 621010, China..

DOI: 10.4236/ojapps.2012.24B049                

Abstract

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.

Keywords

Jimbo-Miwa equation; Extended three-wave method; Cross-kink multi-soliton.

Conflicts of Interest

The authors declare no conflicts of interest.

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