On the Solutions of the b-Family of Novikov Equation

被引：1
|
作者：
Wang, Tingting [1 ]
Han, Xuanxuan [1 ]
Lu, Yibin [1 ]
机构：
[1] Kunming Univ Sci & Technol, Fac Sci, Kunming 650500, Yunnan, Peoples R China
来源：
SYMMETRY-BASEL | 2021年 / 13卷 / 10期
基金：
中国国家自然科学基金;
关键词：
the b-family of Novikov equation; peakon; kink; soliton solutions; TRAJECTORIES;
D O I：
10.3390/sym13101765
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
In this paper, we study the symmetric travelling wave solutions of the b-family of the Novikov equation. We show that the b-family of the Novikov equation can provide symmetric travelling wave solutions, such as peakon, kink and smooth soliton solutions. In particular, the single peakon, two-peakon, stationary kink, anti-kink, two-kink, two-anti-kink, bell-shape soliton and hat-shape soliton solutions are presented in an explicit formula.
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页数：8
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