4 citations · 5 across the 7 of their papers we have counts for
7 papers
Scattering Theory and dispersive estimates for general d Charge Transfer Models
Gong Chen, Abdon Moutinho
We continue our study of scattering theory and dispersive properties for one-dimensional charge transfer models, namely linear Schrödinger equations with multiple moving potentials…
Asymptotic Stability of multi-solitons for d Supercritical NLS
Gong Chen, Abdon Moutinho
We consider the one-dimensional -supercritical nonlinear Schrödinger equation \[ i\partial_t ψ+ \partial_x^2 ψ+ |ψ|^{2k}ψ= 0, \qquad k>2. \] In this regime solitary waves are…
Dispersive analysis for one-dimensional charge transfer models
Gong Chen, Abdon Moutinho
In this paper, we study one-dimensional linear Schrödinger equations with multiple moving potentials, known as transfer charge models. Focusing on the non-self-adjoint setting that…
Collision of two solitons for Nonlinear Schrodinger Equation with the same mass
Abdon Moutinho
We study the global dynamics of the collision of two solitons having the same mass for one-dimensional Nonlinear Schrödinger models with multi-power nonlinearity. For any natural n…
On the kink-kink collision problem of for the model with low speed
Abdon Moutinho
We study the elasticity of the collision of two kinks with an incoming low speed for the nonlinear wave equation in dimension known as the model. We prov…
Approximate kink-kink solutions for the model in the low-speed limit
Abdon Moutinho
This manuscript is the first of a series of two papers that study the problem of elasticity and stability of the collision of two kinks with low speed for the nonlinear wave eq…
Dynamics of two interacting kinks for the model
Abdon Moutinho
We consider the nonlinear wave equation known as the model in dimension 1+1. We describe the long time behavior of all the solutions of this model close to a sum of two kin…