Solitons and breather waves for the generalized Konopelchenko-Dubrovsky-Kaup-Kupershmidt system in fluid mechanics, ocean dynamics and plasma physics

被引：71
作者：
Deng, Gao-Fu [1 ,2 ]
Gao, Yi-Tian [1 ,2 ]
Ding, Cui-Cui [1 ,2 ]
Su, Jing-Jing [1 ,2 ]
机构：
[1] Beijing Univ Aeronaut & Astronaut, Minist Of Educ, Key Lab Fluid Mech, Beijing 100191, Peoples R China
[2] Beijing Univ Aeronaut & Astronaut, Natl Lab Computat Fluid Dynam, Beijing 100191, Peoples R China
来源：
CHAOS SOLITONS & FRACTALS | 2020年 / 140卷
基金：
中国国家自然科学基金;
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; KADOMTSEV-PETVIASHVILI EQUATIONS; ROGUE WAVES; TERMS;
D O I：
10.1016/j.chaos.2020.110085
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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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页数：10
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