Bilinear form and Pfaffian solutions for a (2+1)-dimensional generalized Konopelchenko-Dubrovsky-Kaup-Kupershmidt system in fluid mechanics and plasma physics

被引：38
|
作者：
Cheng, Chong-Dong [1 ]
Tian, Bo [1 ]
Shen, Yuan [1 ]
Zhou, Tian-Yu [1 ]
机构：
[1] Beijing Univ Posts & Telecommun, Sch Sci, State Key Lab Informat Photon & Opt Commun, Beijing 100876, Peoples R China
来源：
NONLINEAR DYNAMICS | 2023年 / 111卷 / 7期
基金：
中国国家自然科学基金;
关键词：
Hirota method; Pfaffian technique; Soliton solutions; Breather solutions; SOLITON-SOLUTIONS; RATIONAL SOLUTIONS; BACKLUND TRANSFORMATION; EQUATION;
D O I：
10.1007/s11071-022-08189-6
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
In this paper, a (2+1)-dimensional generalized Konopelchenko-Dubrovsky-Kaup-Kupershmidt system in fluid mechanics and plasma physics is investigated. Bilinear form under certain coefficient constraints is given via the Hirota method. The Nth-order Pfaffian solutions are proved by means of the Pfaffian technique, where N is a positive integer. N-soliton and the higher-order breather solutions are exported through the Nth-order Pfaffian solutions. Different two-soliton/breather structures and their dynamics are derived. Elastic/inelastic interactions between the two solitons/breathers are investigated. Graphical representations of the influence of the coefficients in the equation on the velocities and amplitudes of the solitons and breathers are exhibited.
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页码：6659 / 6675
页数：17
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