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Numerical computation of solitary wave solutions of the Rosenau equation

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Erbay, Hüsnü Ata and Erbay, Saadet and Erkip, Albert (2020) Numerical computation of solitary wave solutions of the Rosenau equation. Wave Motion, 98 . ISSN 0165-2125 (Print) 1878-433X (Online)

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Official URL: http://dx.doi.org/10.1016/j.wavemoti.2020.102618

Abstract

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.

Item Type:Article
Subjects:Q Science > QA Mathematics > QA299.6-433 Analysis
ID Code:40061
Deposited By:Albert Erkip
Deposited On:13 Sep 2020 18:24
Last Modified:13 Sep 2020 18:24

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