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Peakon solutions of a b-Novikov equation

Authors :
Aggeliki G. Efstathiou
Eugenia N. Petropoulou
Source :
Applied Mathematics in Science and Engineering, Vol 30, Iss 1, Pp 541-553 (2022)
Publication Year :
2022
Publisher :
Taylor & Francis Group, 2022.

Abstract

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.

Details

Language :
English
ISSN :
27690911
Volume :
30
Issue :
1
Database :
Directory of Open Access Journals
Journal :
Applied Mathematics in Science and Engineering
Publication Type :
Academic Journal
Accession number :
edsdoj.302f10d5675494aaee5ca4ea272ecca
Document Type :
article
Full Text :
https://doi.org/10.1080/27690911.2022.2099850