Bilinear form, solitons, breathers, lumps and hybrid solutions for a (3+1)-dimensional Date-Jimbo-Kashiwara-Miwa equation

被引：41
作者：
Wang, Dong [1 ,2 ]
Gao, Yi-Tian [1 ,2 ]
Yu, Xin [1 ,2 ]
Li, Liu-Qing [1 ,2 ]
Jia, Ting-Ting [1 ,2 ]
机构：
[1] Beijing Univ Aeronaut & Astronaut, Minist 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：
NONLINEAR DYNAMICS | 2021年 / 104卷 / 02期
基金：
中国国家自然科学基金;
关键词：
(3+1)-dimensional Date-Jimbo-Kashiwara-Miwa equation; Hirota bilinear method; Soliton solutions; Breather solutions; Lump solutions; Hybrid solutions;
D O I：
10.1007/s11071-021-06329-y
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
In this work, we study a (3+1)-dimensional Date-Jimbo-Kashiwara-Miwa equation for the nonlinear dispersive waves in an inhomogeneous medium. Bilinear form and N-soliton solutions are derived, where N is a positive integer. The higher-order breather and lump solutions are constructed based on the N-soliton solutions. Hybrid solutions comprising the solitons and breathers, breathers and lumps, as well as solitons and lumps are worked out. Amplitudes and velocities of the one solitons as well as periods of the first-order breathers are investigated. Amplitudes of the first-order lumps reach the maximum and minimum values at certain points given in the paper. Interactions between any two of those waves are discussed graphically.
引用
收藏
页码：1519 / 1531
页数：13
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