Journal
COMPUTERS & MATHEMATICS WITH APPLICATIONS
Volume 72, Issue 9, Pages 2486-2504Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.camwa.2016.09.003
Keywords
A (3+1)-dimensional generalized B-type; Kadomtsev-Petviashvili equation; Bell polynomials; Riemann theta function; Soliton solution; Periodic solution
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Funding
- Fundamental Research Funds for the Central Universities [2015XKQY14]
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In this paper, a (3 + 1)-dimensional generalized B-type Kadomtsev-Petviashvili equation is investigated, which can be used to describe weakly dispersive waves propagating in a quasi media and fluid mechanics. Based on the Bell polynomials, its multiple-soliton solutions and the bilinear form with some reductions are derived, respectively. Furthermore, by using Riemann theta function, we construct one- and two-periodic wave solutions for the equation. Finally, we study the asymptotic behavior of the periodic wave solutions, which implies that the periodic wave solutions can be degenerated to the soliton solutions under a small amplitude limit. (C) 2016 Elsevier Ltd. All rights reserved.
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