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Asymptotic stability of fast solitary waves to the Benjamin Equation
May Abdallah, Mohamad Darwich, Luc Molinet
We prove the asymptotic stability of the high speed solitary waves to the Benjamin equation. This is done by establishing a Liouville property for the nonlinear evolution of the Be…
math.AP2024★ 1 cited
On the Uniqueness and Orbital Stability of Slow and Fast Solitary Wave Solutions of the Benjamin Equation
May Abdallah, Mohamad Darwich, Luc Molinet
This paper is devoted to the study of existence and properties of solitary waves of the Benjamin equation. The studied equation includes a parameter in front of the Benjamin-On…