Tuoc Phan

most citedSmall solutions of nonlinear Schrödinger equations near first excited states

4 citations · 4 across the 2 of their papers we have counts for

collaborators

3 papers

nlin.PS2011

Normal form for the symmetry-breaking bifurcation in the nonlinear Schrodinger equation

Dmitry Pelinovsky, Tuoc Phan

We derive and justify a normal form reduction of the nonlinear Schrodinger equation for a general pitchfork bifurcation of the symmetric bound state that occurs in a double-well sy…

math.AP2010★ 4 cited

Small solutions of nonlinear Schrödinger equations near first excited states

Kenji Nakanishi, Tuoc Van Phan, Tai-Peng Tsai

Consider a nonlinear Schrödinger equation in $R^{3}$ whose linear part has three or more eigenvalues satisfying some resonance conditions. Solutions which are initially small in $H^1…

math.AP2010

Stable Directions for Degenerate Excited States of Nonlinear Schrödinger Equations

Stephen Gustafson, Tuoc Van Phan

We consider nonlinear Schrödinger equations, $i \partial_{t} ψ = H_{0} ψ + λ ∣ ψ ∣^{2} ψ$ in $R^{3} \times [0, \infty)$ , where $H_{0} = - Δ + V$ , $λ = \pm 1$ , the potential $V$ is radial and sp…