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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…
math.AP2017
On the stability of the solitary waves to the rotation Benjamin-Ono equation
Mohamad Darwich
In this paper, we study several aspects of solitary wave solutions of the rotation Benjamin-Ono equation. By solving a minimization problem on the line, we construct a family of ev…
math.AP2017
On the -critical nonlinear Schrodinger equation with an inhomogeneous damping term
Mohamad Darwich
We consider the -critical nonlinear Schrodinger equation with an inhomogeneous damping term. We prove that there exists an initial data such that the corresponding solution is…