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

Name: 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.

İsim	On the existence, uniqueness, and stability of periodic waves for the fractional Benjamin–Bona–Mahony equation
Yazar	Amaral, S., Borluk, Handan, Muslu, G. M., Natali, F., Oruc, G.
Basım Tarihi:	2022-01
Basım Yeri	- Wiley
Tür	Süreli Yayın
Dil	İngilizce
Dijital	Evet
Yazma	Hayır
Kütüphane:	Özyeğin Üniversitesi
Demirbaş Numarası	0022-2526
Kayıt Numarası	f3d343fc-6083-4c8e-8b91-6b541ee5dcdc
Lokasyon	Natural and Mathematical Sciences
Tarih	2022-01
Notlar	Coordenacao de Aperfeicoamento de Pessoal de Nivel Superior ; Conselho Nacional de Desenvolvimento Cientifico eTecnologico ; FundacaoAraucaria
Örnek Metin	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

Kaynağa git Özyeğin Üniversitesi

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Özyeğin Üniversitesi

Kaynağa git

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

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

Basım Tarihi 2022-01

Basım Yeri - Wiley

Tür Süreli Yayın

Dil İngilizce

Dijital Evet

Yazma Hayır

Kütüphane Özyeğin Üniversitesi

Demirbaş Numarası 0022-2526

Kayıt Numarası f3d343fc-6083-4c8e-8b91-6b541ee5dcdc

Lokasyon Natural and Mathematical Sciences

Tarih 2022-01

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

Örnek Metin 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