Solitary waves of the rotation-generalized Benjamin-Ono equation

2011/05/26 by Amin Esfahani, Esfahani, Amin, Steven Levandosky +1
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Photonic Systems #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.1105.5369

openalex publication_date 2011/05/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This work studies the rotation-generalized Benjamin-Ono equation which is derived from the theory of weakly nonlinear long surface and internal waves in deep water under the presence of rotation. It is shown that the solitary-wave solutions are orbitally stable for certain wave speeds.

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