Mohamad Darwich

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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 $γ$ in front of the Benjamin-On…

math.AP2012

On the $L^{2}$ -critical nonlinear Schrödinger Equation with a nonlinear damping

Mohamad Darwich

We consider the Cauchy problem for the $L^{2}$ -critical nonlinear Schrödinger equation with a nonlinear damping. According to the power of the damping term, we prove the global exi…

On the Uniqueness and Orbital Stability of Slow and Fast Solitary Wave Solutions of the Benjamin Equation

On the L2-critical nonlinear Schrödinger Equation with a nonlinear damping

On the $L^{2}$ -critical nonlinear Schrödinger Equation with a nonlinear damping