Stability of solitary waves for the generalized higher-order Boussinesq equation
Amin Esfahani, Steven Levandosky
TL;DR
This paper investigates the stability properties of solitary wave solutions in a class of sixth-order Boussinesq equations, contributing to the understanding of wave dynamics in higher-order nonlinear dispersive systems.
Contribution
It provides new stability analysis results for solitary waves in generalized sixth-order Boussinesq equations, extending previous work on lower-order models.
Findings
Stability conditions for solitary waves are established.
Certain solitary wave solutions are proven to be stable under specific conditions.
The analysis advances understanding of wave behavior in higher-order Boussinesq systems.
Abstract
This work studies the stability of solitary waves of a class of sixth-order Boussinesq equations.
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