Peakon solutions of a b-Novikov equation

被引：0
|
作者：
Efstathiou, Aggeliki G. [1 ]
Petropoulou, Eugenia N. [1 ]
机构：
[1] Univ Patras, Dept Civil Engn, Geotech Engn Lab, Patras, Greece
来源：
APPLIED MATHEMATICS IN SCIENCE AND ENGINEERING | 2022年 / 30卷 / 01期
关键词：
b-Novikov equation; peakon; approximate solution; homotopy analysis method; WAVE SOLUTIONS; STABILITY;
D O I：
10.1080/27690911.2022.2099850
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
The homotopy analysis method is applied to a b-Novikov equation in order to obtain analytic approximations of its peakon solution for various values of b. The results demonstrate that there is an excellent agreement between the approximate solution and the known exact peakon solution of the equation. Moreover, the amplitude of the peakon is approximated and a conservation property of the obtained solution is validated.
引用
收藏
页码：541 / 553
页数：13
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