TITLE:
Cross-kink multi-soliton solutions for the (3+1)-D Jimbo-Miwa equation
AUTHORS:
Zhenhui Xu, Hanlin Chen
KEYWORDS:
Jimbo-Miwa equation; Extended three-wave method; Cross-kink multi-soliton.
JOURNAL NAME:
Open Journal of Applied Sciences,
Vol.2 No.4B,
January
16,
2013
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.