Analytical study of solitons for the variant Boussinesq equations

被引：6
|
作者：
Gao, Hui [1 ]
Xu, Tianzhou [1 ]
Yang, Shaojie [1 ]
Wang, Gangwei [1 ]
机构：
[1] Beijing Inst Technol, Sch Math & Stat, Beijing 100081, Peoples R China
来源：
NONLINEAR DYNAMICS | 2017年 / 88卷 / 02期
关键词：
Variant Boussinesq equations; Traveling wave hypothesis; Kink soliton; Bell-shaped solitary wave; Waveform change; CONSERVATION-LAWS; SYMMETRY ANALYSIS; WAVE SOLUTIONS; EXPLICIT; SYSTEM;
D O I：
10.1007/s11071-016-3300-5
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
In this paper, two useful methods that are traveling wave hypothesis and auxiliary function method are constructed new periodic solution, kink soliton solution and bell-shaped solitary wave solution of the variant Boussinesq equations. The existence conditions are given. A pair of solitary wave solutions via the traveling wave hypothesis is mainly studied: the waveform change and the nature of the analysis depending on the choice of solitonic parameters. A new physical phenomenon occurring in this system is the waveform of each soliton gets change or recovery under different parameters, which might provide us with a different approach of load information transfer.
引用
收藏
页码：1139 / 1146
页数：8
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