6 papers · 1 filter
Existence of dipoles of Klein-Gordon-Zakharov system
Vicente Alvarez, Amin Esfahani
In this paper, we study the long time behavior of solutions of Klein-Gordon-Zakharov system. We show that there exists a solution with special characteristics, which we shall refer…
Numerical study of a nonlocal nonlinear Schrödinger equation (MMT model)
Amin Esfahani, Gulcin M. Muslu
In this paper, we study a nonlocal nonlinear Schrödinger equation (MMT model). We investigate the effect of the nonlocal operator appearing in the nonlinearity on the long-term be…
Studies on a system of nonlinear Schrödinger equations with potential and quadratic interaction
Vicente Alvarez, Amin Esfahani
In this work, we study the existence of various classes of standing waves for a nonlinear Schrödinger system with quadratic interaction, along with a harmonic or partially harmoni…
Mathematical properties of Klein-Gordon-Boussinesq systems
A. Durán, A. Esfahani, G. Muslu
The Klein-Gordon-Boussinesq (KGB) system is proposed in the literature as a model problem to study the validity of approximations in the long wave limit provided by simpler equatio…
Multi-soliton solutions of Klein-Gordon-Zakharov system
Vicente Alvarez, Amin Esfahani
In this study, we investigate the Klein-Gordon-Zakharov system with a focus on identifying multi-soliton solutions. Specifically, for a given number of solitons, we demonstrate…
Multi-solitons of one-dimensional Boussinesq equation
Vicente Alvarez, Amin Esfahani
The existence of multi-speed solitary waves for the one-dimensional good Boussinesq equation with a power nonlinearity is proven. These solutions are shown to behave at large times…