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Stability of the solitary wave solutions to a coupled BBM system

2015/05/27 by Hongqiu Chen, Xiaojun Wang, Chen, Hongqiu +1
Mathematics · Physics and Astronomy · #35B35 #35B40 #35Q35 #76E30 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Fractional Differential Equations Solutions #Nonlinear Waves and Solitons #math.AP #msc:35B35 #msc:35B40 #msc:35Q35 #msc:76E30

paper · pdf · doi:10.48550/arxiv.1505.07500

15 pages

arxiv created 2015/05/27 · openalex publication_date 2015/05/27 · arxiv updated 2015/05/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this work, we present a stability criteria for the solitary wave solutions to a BBM system that contains coupled nonlinear terms. Using the idea by Bona, Chen and Karakashian and exploiting the accurate point spectrum information of the associated Schrodinger operator, we improve the stability results previously got by Pereira.

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