期刊
MODERN PHYSICS LETTERS B
卷 32, 期 8, 页码 -出版社
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0217984917502682
关键词
Water waves; (2+1)-dimensional variable-coefficient Broer Kaup system; Bell polynomials; solitons; integrability
资金
- National Natural Science Foundation of China [11772017, 11272023, 11471050]
- Open Fund of State Key Laboratory of Information Photonics and Optical Communications (Beijing University of Posts and Telecommunications), China [IPOC: 2017ZZ05]
- Fundamental Research Funds for the Central Universities of China [2011BUPTYB02]
Under investigation in this paper is a (2+1)-dimensional variable-coefficient Broer Kaup system in water waves. Via the symbolic computation, Bell polynomials and Hirota method, the Backlund transformation, Lax pair, bilinear forms, one- and two-soliton solutions are derived. Propagation and interaction for the solitons are illustrated: Amplitudes and shapes of the one soliton keep invariant during the propagation, which implies that the transport of the energy is stable for the (2+1)-dimensional water waves; and inelastic interactions between the two solitons are discussed. Elastic interactions between the two parabolic-, cubic- and periodic-type solitons are displayed, where the solitonic amplitudes and shapes remain unchanged except for certain phase shifts. However, inelastically, amplitudes of the two solitons have a linear superposition after each interaction which is called as a soliton resonance phenomenon.
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