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

DOI10.1111/sapm.12428zbMath1529.35118arXiv2104.00400OpenAlexW3189964131MaRDI QIDQ6085642

Handan Borluk, Sabrina Amaral, Gulcin M. Muslu, Fábio M. Amorin Natali, Goksu Oruc

Publication date: 12 December 2023

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.00400

zbMATH Keywords

orbital stabilityspectral stabilityPetviashvili's methodexistence and uniqueness of minimizersBBM-type equations

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Traveling wave solutions (35C07) Fractional partial differential equations (35R11) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (2)

Traveling waves and transverse instability for the fractional Kadomtsev–Petviashvili equation ⋮ On the stability of solitary wave solutions for a generalized fractional Benjamin–Bona–Mahony equation

Cites Work

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