The generalized fractional Benjamin–Bona–Mahony equation: Analytical and numerical results

Name: The generalized fractional Benjamin–Bona–Mahony equation: Analytical and numerical results
Author: Oruc, G., Borluk, Handan, Muslu, G. M.

İsim	The generalized fractional Benjamin–Bona–Mahony equation: Analytical and numerical results
Yazar	Oruc, G., Borluk, Handan, Muslu, G. M.
Basım Tarihi:	2020-08
Basım Yeri	- Elsevier
Konu	Generalized fractional Benjamin–Bona–Mahony equation, Conserved quantities, Local existence, Solitary waves, Petviashvili method
Tür	Süreli Yayın
Dil	İngilizce
Dijital	Evet
Yazma	Hayır
Kütüphane:	Özyeğin Üniversitesi
Demirbaş Numarası	0167-2789
Kayıt Numarası	55582a8b-872c-49cb-974d-cc4d392843ed
Lokasyon	Natural and Mathematical Sciences
Tarih	2020-08
Notlar	TÜBİTAK ; Istanbul Technical University
Örnek Metin	The generalized fractional Benjamin-Bona-Mahony (gfBBM) equation models the propagation of small amplitude long unidirectional waves in a nonlocally and nonlinearly elastic medium. The equation involves two fractional terms unlike the well-known fBBM equation. In this paper, we prove local existence and uniqueness of the solutions for the Cauchy problem by using energy method. The sufficient conditions for the existence of solitary wave solutions are obtained. The Petviashvili method is proposed for the generation of the solitary wave solutions and their evolution in time is investigated numerically by Fourier spectral method. The efficiency of the numerical methods is tested and the relation between nonlinearity and fractional dispersion is observed by various numerical experiments.
DOI	10.1016/j.physd.2020.132499
Cilt	409

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Özyeğin Üniversitesi

Kaynağa git

The generalized fractional Benjamin–Bona–Mahony equation: Analytical and numerical results

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

Basım Tarihi 2020-08

Basım Yeri - Elsevier

Konu Generalized fractional Benjamin–Bona–Mahony equation, Conserved quantities, Local existence, Solitary waves, Petviashvili method

Tür Süreli Yayın

Dil İngilizce

Dijital Evet

Yazma Hayır

Kütüphane Özyeğin Üniversitesi

Demirbaş Numarası 0167-2789

Kayıt Numarası 55582a8b-872c-49cb-974d-cc4d392843ed

Lokasyon Natural and Mathematical Sciences

Tarih 2020-08

Notlar TÜBİTAK ; Istanbul Technical University

Örnek Metin The generalized fractional Benjamin-Bona-Mahony (gfBBM) equation models the propagation of small amplitude long unidirectional waves in a nonlocally and nonlinearly elastic medium. The equation involves two fractional terms unlike the well-known fBBM equation. In this paper, we prove local existence and uniqueness of the solutions for the Cauchy problem by using energy method. The sufficient conditions for the existence of solitary wave solutions are obtained. The Petviashvili method is proposed for the generation of the solitary wave solutions and their evolution in time is investigated numerically by Fourier spectral method. The efficiency of the numerical methods is tested and the relation between nonlinearity and fractional dispersion is observed by various numerical experiments.

DOI 10.1016/j.physd.2020.132499

Cilt 409