期刊
CHAOS SOLITONS & FRACTALS
卷 140, 期 -, 页码 -出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.chaos.2020.110085
关键词
Fluid mechanics; Ocean dynamics; Plasma physics; (2+1)-dimensional generalized; Konopelchenko-Dubrovsky-Kaup-Kupershmidt; system; Solitons; Breather waves; Pfaffian technique; Wronskian technique
资金
- National Natural Science Foundation of China [11772017]
- Fundamental Research Funds for the Central Universities [50100002016105010]
Under investigation in this paper is the (2+1)-dimensional generalized Konopelchenko-Dubrovsky-KaupKupershmidt system, which can be used to describe certain situations in fluid mechanics, ocean dynamics and plasma physics. The Nth-order Pfaffian and Wronskian solutions are derived via the Pfaffian and Wronskian techniques, respectively, where N is a positive integer. Asymptotic analysis implies that the interaction between the two solitons is elastic with certain conditions. Furthermore, we obtain the breather waves according to the extended homoclinic test technique. Propagation of the breather waves indicates that the breather waves can evolve periodically along a straight line with a certain angle with the x and y axes, and their wave lengthes, amplitudes and velocities remain unchanged during the propagation. (c) 2020 Elsevier Ltd. All rights reserved.
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