Journal
APPLIED MATHEMATICS LETTERS
Volume 58, Issue -, Pages 178-183Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.aml.2016.02.011
Keywords
(3+1)-dimensional; Yu-Toda-Sasa-Fukuyama equation; Bell polynomial; Soliton solutions; Two-layer liquid; Lattice
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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)
- Fundamental Research Funds for the Central Universities of China [2011BUPTYB02]
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In this paper, we investigate a (3 + 1)-dimensional Yu-Toda-Sasa-Fukuyama equation for the interfacial wave in a two-layer liquid or elastic quasiplane wave in a lattice. Through the Bell polynomials, symbolic computation and Hirota method, the one and two bell-soliton solutions are derived. Backlund transformation is presented. Parallel collision between the two solitons exists when the soliton directions are the same. Oblique collision appears between the two solitons with different soliton directions. (C) 2016 Published by Elsevier Ltd.
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