6 citations · 12 across the 12 of their papers we have counts for
14 papers
Well-posedness of Boussinesq Equation with Linear Restoring Force
Amin Esfahani, Nazerke Zhardemova
We establish a local well-posedness theory for the dimensional Boussinesq equation with a linear restoring force in a modified Sobolev spaces and Bourgain-type spaces $…
On the focusing fractional nonlinear Schrödinger equation on the waveguide manifolds
Amin Esfahani, Hichem Hajaiej, Yongming Luo +1
In this paper, we consider the focusing fractional nonlinear Schrödinger equation (FNLS) on the waveguide manifolds both in the isotropic and aniso…
Angular traveling waves of the high-dimensional Boussinesq equation
Amin Esfahani
This paper studies traveling waves with nonzero wave speed (angular traveling waves) of the high-dimensional Boussinesq equation that have not been studied before. We analyze the p…
Well-posedness and analyticity of solutions for the sixth-order Boussinesq equation
Amin Esfahani, Achenef Tesfahun
Studied in this paper is the sixth-order Boussinesq equation. We extend the local well-posedness theory for this equation with quadratic and cubic nonlinearities to the high dimens…
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…
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…