2 citations · 2 across the 2 of their papers we have counts for
3 papers
math.AP2021
Existence and stability of standing waves for one dimensional NLS with triple power nonlinearities
Fei Liu, Tai-Peng Tsai, Ian Zwiers
In this note we study analytically and numerically the existence and stability of standing waves for one dimensional nonlinear Schrödinger equations whose nonlinearities are the su…
math.AP2012
Local Dynamics Near Unstable Branches of NLS Solitons
Vianney Combet, Tai-Peng Tsai, Ian Zwiers
Consider a branch of unstable solitons of NLS whose linearized operators have one pair of simple real eigenvalues in addition to the zero eigenvalue. Under radial symmetry and stan…
math.AP2010★ 2 cited
Vortex Collapse for the L2-Critical Nonlinear Schrödinger Equation
Gideon Simpson, Ian Zwiers
The focusing cubic nonlinear Schrödinger equation in two dimensions admits vortex solitons, standing wave solutions with spatial structure, Qm(r,theta) = e^{i m theta} Rm(r). In th…