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math.AP2023
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…
math.AP2023
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…
math.AP2023★ 1 cited
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…