Journal
APPLIED MATHEMATICS LETTERS
Volume 60, Issue -, Pages 96-100Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.aml.2016.03.021
Keywords
Fluids; (3+1)-dimensional generalized variable-coefficient B-type; Kadomtsev-Petviashvili equation; Bell polynomials; Soliton solutions; Backlund transformation
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Funding
- National Natural Science Foundation of China [11272023]
- Fund of State Key Laboratory of Information Photonics and Optical Communications (Beijing University of Posts and Telecommunications)
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Under investigation in this paper is a generalized (3 + 1)-dimensional variable-coefficient B-type Kadomtsev-Petviashvili equation, which describes the propagation of nonlinear waves in fluid dynamics. Bilinear form and Backlund transformation are derived by virtue of the Bell polynomials. Besides, the one- and two-soliton solutions are constructed via the Hirota method. (c) 2016 Elsevier Ltd. All rights reserved.
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