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Discrete Dynamics in Nature and Society
Volume 2016, Article ID 5420156, 9 pages
http://dx.doi.org/10.1155/2016/5420156
Research Article

New Exact Solutions for the (3+1)-Dimensional Generalized BKP Equation

1School of Science, Xi’an University of Science and Technology, Xi’an 710054, China
2Department of Applied Mathematics, Northwestern Polytechnical University, Xi’an 710072, China

Received 20 April 2016; Accepted 6 June 2016

Academic Editor: Nikos I. Karachalios

Copyright © 2016 Jun Su and Genjiu Xu. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

The Wronskian technique is used to investigate a (3+1)-dimensional generalized BKP equation. Based on Hirota’s bilinear form, new exact solutions including rational solutions, soliton solutions, positon solutions, negaton solutions, and their interaction solutions are formally derived. Moreover we analyze the strangely mechanical behavior of the Wronskian determinant solutions. The study of these solutions will enrich the variety of the dynamics of the nonlinear evolution equations.