9 citations · 17 across the 9 of their papers we have counts for
4 papers · 2 filters
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…
On the generalized nonlinear Camassa-Holm equation
Mohamad Darwich, Samer Israwi, Raafat Talhouk
In this paper, a generalized nonlinear Camassa-Holm equation with time- and space-dependent coefficients is considered. We show that the control of the higher order dispersive term…
Global existence for the nonlinear fractional Schrödinger equation with fractional dissipation
Mohamad Darwich
We consider the initial value problem for the fractional nonlinear Schrödinger equation with a fractional dissipation. Global existence and scattering are proved depending on the o…
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…