89 citations · 481 across the 52 of their papers we have counts for
6 papers · 1 filter
Asymptotic Stability and Completeness in the Energy Space for Nonlinear Schrödinger Equations with Small Solitary Waves
Stephen Gustafson, Kenji Nakanishi, Tai-Peng Tsai
In this paper we study a class of nonlinear Schrödinger equations which admit families of small solitary wave solutions. We consider solutions which are small in the energy space $…
Classification of Asymptotic Profiles for Nonlinear Schrödinger Equations with Small Initial Data
Tai-Peng Tsai, Horng-Tzer Yau
We consider a nonlinear Schrödinger equation with a bounded local potential in . The linear Hamiltonian is assumed to have two bound states with the eigenvalues satisfying som…
Asymptotic Dynamics of Nonlinear Schrödinger Equations with Many Bound States
Tai-Peng Tsai
We consider a nonlinear Schrödinger equation with a bounded local potential in . The linear Hamiltonian is assumed to have three or more bound states with the eigenvalues sati…
Relaxation of Excited States in Nonlinear Schrödinger Equations
Tai-Peng Tsai, Horng-Tzer Yau
We consider a nonlinear Schrödinger equation in with a bounded local potential. The linear Hamiltonian is assumed to have two bound states with the eigenvalues satisfying so…
Stable Directions for Excited States of Nonlinear Schrödinger Equations
Tai-Peng Tsai, Horng-Tzer Yau
We consider nonlinear Schrödinger equations in . Assume that the linear Hamiltonians have two bound states. For certain finite codimension subset in the space of initial data…
Asymptotic Dynamics of Nonlinear Schrodinger Equations: Resonance Dominated and Radiation Dominated Solutions
Tai-Peng Tsai, Horng-Tzer Yau
We consider a linear Schrödinger equation with a small nonlinear perturbation in . Assume that the linear Hamiltonian has exactly two bound states and its eigenvalues satisfy…