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

Autor:	Goksu Oruc, Fábio Natali, Sabrina Amaral, Handan Borluk, Gulcin M. Muslu
Rok vydání:	2021
Předmět:	Momentum Physics Nonlinear Sciences::Exactly Solvable and Integrable Systems Applied Mathematics Operator (physics) Benjamin–Bona–Mahony equation Mathematical analysis Mathematics::Analysis of PDEs Tangent space Spectral stability Uniqueness Stability (probability) Eigenvalues and eigenvectors
Zdroj:	Studies in Applied Mathematics. 148:62-98
ISSN:	1467-9590 0022-2526
DOI:	10.1111/sapm.12428
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::5c3c36f6766d7fbb87027d0dd9b9e33f https://doi.org/10.1111/sapm.12428 Zobrazit plný text záznamu Plný text