Studies on certain bilinear form, N-soliton, higher-order breather, periodic-wave and hybrid solutions to a (3+1)-dimensional shallow water wave equation with time-dependent coefficients

被引：88
作者：
Shen, Yuan [1 ,2 ]
Tian, Bo [1 ,2 ]
Liu, Shao-Hua [1 ,2 ]
Zhou, Tian-Yu [1 ,2 ]
机构：
[1] Beijing Univ Posts & Telecommun, State Key Lab Informat Photon & Opt Commun, Beijing 100876, Peoples R China
[2] Beijing Univ Posts & Telecommun, Sch Sci, Beijing 100876, Peoples R China
来源：
NONLINEAR DYNAMICS | 2022年 / 108卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Shallow water wave; (3+1)-dimensional shallow water; Symbolic computation; Hirota method; Bilinear form; Soliton solutions; Breather solutions; Periodic-wave solutions; Hybrid solutions; LAX; KDV;
D O I：
10.1007/s11071-022-07252-6
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
Studies of the shallow water waves are active, possessing the applications in ocean engineering, marine environment, atmospheric science, etc. In this paper, we investigate a (3+1)-dimensional shallow water wave equation with time-dependent coefficients. Hirota method and symbolic computation help us work out (1) a bilinear form, (2) N-soliton solutions with N being a positive integer, (3) the higher-order breather solutions, (4) periodic-wave solutions and (5) hybrid solutions composed of one first-order breather and one soliton/two solitons. Moreover, we provide some nonlinear phenomena described by the associated solutions. All of the obtained results are determined via the time-dependent coefficients of that equation.
引用
收藏
页码：2447 / 2460
页数：14
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