On the stability of solitary wave solutions for a generalized fractional Benjamin–Bona–Mahony equation

Name: On the stability of solitary wave solutions for a generalized fractional Benjamin–Bona–Mahony equation
Author: Oruc, G., Natali, F., Borluk, Handan, Muslu, G. M.

İsim	On the stability of solitary wave solutions for a generalized fractional Benjamin–Bona–Mahony equation
Yazar	Oruc, G., Natali, F., Borluk, Handan, Muslu, G. M.
Basım Tarihi:	2022-03-03
Basım Yeri	- IOP Publishing
Konu	Generalized fractional Benjamin-Bona-Mahony equation, Orbital stability, Solitary waves, Spectral instability
Tür	Süreli Yayın
Dil	İngilizce
Dijital	Evet
Yazma	Hayır
Kütüphane:	Özyeğin Üniversitesi
Demirbaş Numarası	0951-7715
Kayıt Numarası	2fdc8ae6-dd4b-4c10-8a22-c5d6dc8513c3
Lokasyon	Natural and Mathematical Sciences
Tarih	2022-03-03
Notlar	TÜBİTAK
Örnek Metin	In this paper we establish a rigorous spectral stability analysis for solitary waves associated to a generalized fractional Benjamin-Bona-Mahony type equation. Besides the well known smooth and positive solitary wave with large wave speed, we present the existence of smooth negative solitary waves having small wave speed. The spectral stability is then determined by analysing the behaviour of the associated linearized operator around the wave restricted to the orthogonal of the tangent space related to the momentum at the solitary wave. Since the analytical solution is not known, we generate the negative solitary waves numerically by using Petviashvili method. We also present some numerical experiments to observe the stability properties of solitary waves for various values of the order of nonlinearity and fractional derivative. Some remarks concerning the orbital stability are also celebrated.
DOI	10.1088/1361-6544/ac4816
Cilt	35

Kaynağa git Özyeğin Üniversitesi

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Özyeğin Üniversitesi

Kaynağa git

On the stability of solitary wave solutions for a generalized fractional Benjamin–Bona–Mahony equation

Yazar Oruc, G., Natali, F., Borluk, Handan, Muslu, G. M.

Basım Tarihi 2022-03-03

Basım Yeri - IOP Publishing

Konu Generalized fractional Benjamin-Bona-Mahony equation, Orbital stability, Solitary waves, Spectral instability

Tür Süreli Yayın

Dil İngilizce

Dijital Evet

Yazma Hayır

Kütüphane Özyeğin Üniversitesi

Demirbaş Numarası 0951-7715

Kayıt Numarası 2fdc8ae6-dd4b-4c10-8a22-c5d6dc8513c3

Lokasyon Natural and Mathematical Sciences

Tarih 2022-03-03

Notlar TÜBİTAK

Örnek Metin In this paper we establish a rigorous spectral stability analysis for solitary waves associated to a generalized fractional Benjamin-Bona-Mahony type equation. Besides the well known smooth and positive solitary wave with large wave speed, we present the existence of smooth negative solitary waves having small wave speed. The spectral stability is then determined by analysing the behaviour of the associated linearized operator around the wave restricted to the orthogonal of the tangent space related to the momentum at the solitary wave. Since the analytical solution is not known, we generate the negative solitary waves numerically by using Petviashvili method. We also present some numerical experiments to observe the stability properties of solitary waves for various values of the order of nonlinearity and fractional derivative. Some remarks concerning the orbital stability are also celebrated.

DOI 10.1088/1361-6544/ac4816

Cilt 35