Author
Erbay, Hüsnü Ata, Erbay, Saadet, Erkip, A.
Publication Date
2020-11
Publication Place
-
Elsevier
Subject
Rosenau equation, Petviashvili iteration method, Benjamin–Bona–Mahony equation, Solitary waves
Type
Periodical
Language
English
Digital
Yes
Manuscript
No
Library
Özyeğin University
Library Asset ID
0165-2125
Record ID
6d8f1815-5d72-457c-9272-c3d138292203
Library Location
Natural and Mathematical Sciences
Date
2020-11
Sample Text
We construct numerically solitary wave solutions of the Rosenau equation using the Petviashvili iteration method. We first summarize the theoretical results available in the literature for the existence of solitary wave solutions. We then apply two numerical algorithms based on the Petviashvili method for solving the Rosenau equation with single or double power law nonlinearity. Numerical calculations rely on a uniform discretization of a finite computational domain. Through some numerical experiments we observe that the algorithm converges rapidly and it is robust to very general forms of the initial guess.
DOI
10.1016/j.wavemoti.2020.102618
Cilt
98
