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math.AP2024
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…
math.AP2024
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…
math.AP2024
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 harmonic…