Numerical computation of solitary wave solutions of the Rosenau equation

Name: Numerical computation of solitary wave solutions of the Rosenau equation
Author: Erbay, Hüsnü Ata, Erbay, Saadet, Erkip, A.

İsim	Numerical computation of solitary wave solutions of the Rosenau equation
Yazar	Erbay, Hüsnü Ata, Erbay, Saadet, Erkip, A.
Basım Tarihi:	2020-11
Basım Yeri	- Elsevier
Konu	Rosenau equation, Petviashvili iteration method, Benjamin–Bona–Mahony equation, Solitary waves
Tür	Süreli Yayın
Dil	İngilizce
Dijital	Evet
Yazma	Hayır
Kütüphane:	Özyeğin Üniversitesi
Demirbaş Numarası	0165-2125
Kayıt Numarası	6d8f1815-5d72-457c-9272-c3d138292203
Lokasyon	Natural and Mathematical Sciences
Tarih	2020-11
Örnek Metin	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

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Numerical computation of solitary wave solutions of the Rosenau equation

Yazar Erbay, Hüsnü Ata, Erbay, Saadet, Erkip, A.

Basım Tarihi 2020-11

Basım Yeri - Elsevier

Konu Rosenau equation, Petviashvili iteration method, Benjamin–Bona–Mahony equation, Solitary waves

Tür Süreli Yayın

Dil İngilizce

Dijital Evet

Yazma Hayır

Kütüphane Özyeğin Üniversitesi

Demirbaş Numarası 0165-2125

Kayıt Numarası 6d8f1815-5d72-457c-9272-c3d138292203

Lokasyon Natural and Mathematical Sciences

Tarih 2020-11

Örnek Metin 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