Exact Multi-soliton Solution for the (3+1)-D Jimbo-Miwa Equation

Xichao Deng, Zhenhui Xu


In this paper, by using bilinear form and extended  three-wave type of ans$\ddot{a}$tz approach, we obtain new 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 breather-type 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.

Full Text:


DOI: https://doi.org/10.5539/jmr.v3n4p89

Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.

Journal of Mathematics Research   ISSN 1916-9795 (Print)   ISSN 1916-9809 (Online)

Copyright © Canadian Center of Science and Education

To make sure that you can receive messages from us, please add the 'ccsenet.org' domain to your e-mail 'safe list'. If you do not receive e-mail in your 'inbox', check your 'bulk mail' or 'junk mail' folders.