Author(s)

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..

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.

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

Xu, Z. and Chen, H. (2012) Cross-kink multi-soliton solutions for the (3+1)-D Jimbo-Miwa equation. Open Journal of Applied Sciences, 2, 215-218. doi: 10.4236/ojapps.2012.24B049.