4 papers
Asymptotic Stability of multi-solitons for d Supercritical NLS
Gong Chen, Abdon Moutinho
We consider the one-dimensional -supercritical nonlinear Schrödinger equation \[ i\partial_t Ï+ \partial_x^2 Ï+ |Ï|^{2k}Ï= 0, \qquad k>2. \] In this regime solitary waves…
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 potential…
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 tha…
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…