1 citations · 1 across the 6 of their papers we have counts for
7 papers
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…
Profile decomposition and scattering for general nonlinear Schr{ö}dinger equations
Thomas Duyckaerts, Phan van Tin
We consider a Schr{ö}dinger equation with a nonlinearity which is a general perturbation of a power'' nonlinearity. We construct a profile decomposition adapted to this nonlinearit…
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 ad…
Instability of algebraic standing waves for nonlinear Schr\''odinger equations with triple power nonlinearities
Phan van Tin
We consider the following triple power nonlinear Schr{ö}dinger equation: iut + u + a 1 |u|u + a 2 |u| 2 u + a 3 |u| 3 u = 0. We are interested in algebraic standing waves i.e st…
Construction of the multi-soliton trains for a generalized derivative nonlinear Schr\''odinger equations by a fixed point method
Phan van Tin
We consider a derivative nonlinear Schr{ö}dinger equation with general nonlinearlity: itu + 2 x u + i|u| 2 xu = 0, In [12], the authors prove the…
On the derivative nonlinear Schr{ö}dinger equation on the half line with Robin boundary condition
Phan van Tin
We consider the Schrödinger equation with nonlinear derivative term on under Robin boundary condition at . Using a virial argument, we obtain the existence of blow…