13 citations · 56 across the 12 of their papers we have counts for
6 papers · 1 filter
On action ground states of defocusing nonlinear Schrödinger equations
Wei Liu, Chushan Wang, Xiaofei Zhao
We investigate the action ground states of the defocusing nonlinear Schrödinger equation with and without rotation. Our primary focus is on characterizing the relationship between…
An extended Fourier pseudospectral method for the Gross-Pitaevskii equation with low regularity potential
Weizhu Bao, Bo Lin, Ying Ma +1
We propose and analyze an extended Fourier pseudospectral (eFP) method for the spatial discretization of the Gross-Pitaevskii equation (GPE) with low regularity potential by treati…
An explicit and symmetric exponential wave integrator for the nonlinear Schrödinger equation with low regularity potential and nonlinearity
Weizhu Bao, Chushan Wang
We propose and analyze a novel symmetric Gautschi-type exponential wave integrator (sEWI) for the nonlinear Schrödinger equation (NLSE) with low regularity potential and typical po…
Optimal error bounds on time-splitting methods for the nonlinear Schrödinger equation with low regularity potential and nonlinearity
Weizhu Bao, Ying Ma, Chushan Wang
We establish optimal error bounds on time-splitting methods for the nonlinear Schrödinger equation with low regularity potential and typical power-type nonlinearity ,…
Optimal error bounds on the exponential wave integrator for the nonlinear Schrödinger equation with low regularity potential and nonlinearity
Weizhu Bao, Chushan Wang
We establish optimal error bounds for the exponential wave integrator (EWI) applied to the nonlinear Schrödinger equation (NLSE) with -potential and/or locally Lipschit…
Error estimates of the time-splitting methods for the nonlinear Schrödinger equation with semi-smooth nonlinearity
Weizhu Bao, Chushan Wang
We establish error bounds of the Lie-Trotter time-splitting sine pseudospectral method for the nonlinear Schrödinger equation (NLSE) with semi-smooth nonlinearity , wh…