Stability of the solitary wave solutions to a coupled BBM system
Hongqiu Chen, Xiaojun Wang
TL;DR
This paper establishes a stability criterion for solitary wave solutions in a coupled BBM system, enhancing previous results by leveraging spectral analysis of an associated Schrödinger operator.
Contribution
It introduces an improved stability criterion for coupled BBM solitary waves using spectral analysis, advancing prior stability results.
Findings
Derived a new stability criterion for coupled BBM solitary waves
Utilized spectral information of the Schrödinger operator for analysis
Enhanced previous stability results by Pereira
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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Taxonomy
TopicsAdvanced Mathematical Physics Problems · Nonlinear Waves and Solitons · Fractional Differential Equations Solutions