Numerical computation of solitary wave solutions of the Rosenau equation

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 meth...

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Bibliographic Details
Published in:	Wave motion Vol. 98; p. 102618
Main Authors:	Erbay, H.A., Erbay, S., Erkip, A.
Format:	Journal Article
Language:	English
Published:	Amsterdam Elsevier B.V 01.11.2020 Elsevier BV
Subjects:	Algorithms Benjamin–Bona–Mahony equation Iterative methods Numerical analysis Petviashvili iteration method Robustness (mathematics) Rosenau equation Solitary waves 74J35 Petviashvili iteration method Benjamin–Bona–Mahony equation 35Q53 65M99 74S30 Rosenau equation Solitary waves
ISSN:	0165-2125, 1878-433X
Online Access:	Get full text
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