Author
Oruc, G., Natali, F., Borluk, Handan, Muslu, G. M.
Publication Date
2022-03-03
Publication Place
-
IOP Publishing
Subject
Generalized fractional Benjamin-Bona-Mahony equation, Orbital stability, Solitary waves, Spectral instability
Type
Periodical
Language
English
Digital
Yes
Manuscript
No
Library
Özyeğin University
Library Asset ID
0951-7715
Record ID
2fdc8ae6-dd4b-4c10-8a22-c5d6dc8513c3
Library Location
Natural and Mathematical Sciences
Date
2022-03-03
Notes
TÜBİTAK
Sample Text
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
