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On the existence, uniqueness, and stability of periodic waves for the fractional Benjamin–Bona–Mahony equation

Title	On the existence, uniqueness, and stability of periodic waves for the fractional Benjamin–Bona–Mahony equation
Author	Amaral, S., Borluk, Handan, Muslu, G. M., Natali, F., Oruc, G.
Publication Date:	2022-01
Publication Place	- Wiley
Type	Periodical
Language	English
Digital	Yes
Manuscript	No
Library:	Özyeğin University
Library Asset ID	0022-2526
Record ID	f3d343fc-6083-4c8e-8b91-6b541ee5dcdc
Library Location	Natural and Mathematical Sciences
Date	2022-01
Notes	Coordenacao de Aperfeicoamento de Pessoal de Nivel Superior ; Conselho Nacional de Desenvolvimento Cientifico eTecnologico ; FundacaoAraucaria
Sample Text	The existence, uniqueness, and stability of periodic traveling waves for the fractional Benjamin–Bona–Mahony equation is considered. In our approach, we give sufficient conditions to prove a uniqueness result for the single-lobe solution obtained by a constrained minimization problem. The spectral stability is then shown by determining that the associated linearized operator around the wave restricted to the orthogonal of the tangent space related to the momentum and mass at the periodic wave has no negative eigenvalues. We propose the Petviashvili's method to investigate the spectral stability of the periodic waves for the fractional Benjamin–Bona–Mahony equation, numerically. Some remarks concerning the orbital stability of periodic traveling waves are also presented.
DOI	10.1111/sapm.12428
Cilt	148

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Özyeğin University

On the existence, uniqueness, and stability of periodic waves for the fractional Benjamin–Bona–Mahony equation

Author Amaral, S., Borluk, Handan, Muslu, G. M., Natali, F., Oruc, G.

Publication Date 2022-01

Publication Place - Wiley

Type Periodical

Language English

Digital Yes

Manuscript No

Library Özyeğin University

Library Asset ID 0022-2526

Record ID f3d343fc-6083-4c8e-8b91-6b541ee5dcdc

Library Location Natural and Mathematical Sciences

Date 2022-01

Notes Coordenacao de Aperfeicoamento de Pessoal de Nivel Superior ; Conselho Nacional de Desenvolvimento Cientifico eTecnologico ; FundacaoAraucaria

Sample Text The existence, uniqueness, and stability of periodic traveling waves for the fractional Benjamin–Bona–Mahony equation is considered. In our approach, we give sufficient conditions to prove a uniqueness result for the single-lobe solution obtained by a constrained minimization problem. The spectral stability is then shown by determining that the associated linearized operator around the wave restricted to the orthogonal of the tangent space related to the momentum and mass at the periodic wave has no negative eigenvalues. We propose the Petviashvili's method to investigate the spectral stability of the periodic waves for the fractional Benjamin–Bona–Mahony equation, numerically. Some remarks concerning the orbital stability of periodic traveling waves are also presented.

DOI 10.1111/sapm.12428

Cilt 148