3 papers
math.AP2026
Orbital Stability of Solitons and Scattering Theory for the Perturbed Derivative Nonlinear Schrödinger Equation
Phan Van Tin
We consider the following derivative nonlinear Schrödinger equation with a single power-type perturbation \begin{equation*} i\partial_tu+\partial_x^2u+i|u|^2\partial_xu+b |u|^pu=0…
math.AP2024
Mass-energy Scattering Criterion For Double Power Schr{ö}dinger Equations
Thomas Duyckaerts, Phan van Tin
We consider the nonlinear Schr{ö}dinger equation with double power nonlinearity. We extend the scattering result in [17] for all L 2-supercritical powers, specially, our results a…
math.AP2024
On a generalized derivative nonlinear Schrödinger equation
Phan van Tin
We consider a generalized derivative nonlinear Schr\''odinger equation. We prove existence of wave operator under an explicit smallness of the given asymptotic states. Our method b…