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math.AP2022
Long time behavior of solutions to the generalized Boussinesq equation
Amin Esfahani, Gulcin M. Muslu
In this paper, we study the generalized Boussinesq equation as a model for the water wave problem with surface tension. Initially, we investigate the initial value problem within S…
math.AP2022
A system of inhomogeneous NLS arising in optical media with a nonlinearity, part I : Dynamics
Van Duong Dinh, Amin Esfahani
We study a system of inhomogeneous nonlinear Schrödinger equations that emerge in optical media with a nonlinearity. This nonlinearity, whose local strength is subject to…