Journal
SUPERLATTICES AND MICROSTRUCTURES
Volume 102, Issue -, Pages 273-283Publisher
ACADEMIC PRESS LTD- ELSEVIER SCIENCE LTD
DOI: 10.1016/j.spmi.2016.12.019
Keywords
Rational solutions; Pffafian solutions; Periodic wave solutions; (3+1)-dimensional Boiti-Leon-Manna-Pempinelli equation; Incompressible fluid; Ansatz method
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Funding
- National Natural Science Foundation of China [11272023]
- Fundamental Research Funds for the Central Universities [50100002016105010]
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Under investigation in this paper is a (3 + 1)-dimensional Boiti-Leon-Manna-Pempinelli equation in the incompressible fluid. With the aid of the bilinear form, Nth-order soliton-like solutions are obtained via the Pffafian method, rational solutions are derived with the ansatz method and periodic wave solutions are constructed via the Riemann theta function. The analytic solutions obtained via the Pffafian method are similar to the kink solitons, while, the interaction regions with little peaks are different from those of the usual kink solitons. The rational solutions which have one upper lump and one down deep hole are the bright-dark solitary wave solutions. For the rational solutions which combine the kink solitary wave with breather-like wave, asymptotic behaviors show that the breather-like wave disappears with the evolution of t. Relations between the one-soliton solutions and one-periodic wave solutions are analysed, which exhibit the asymptotic behaviors of the periodic waves. (C) 2016 Elsevier Ltd. All rights reserved.
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