6 papers
Optimal error bounds on the exponential wave integrator for nonlinear Schrödinger equations with highly singular potential
Weizhu Bao, Chushan Wang, Yifei Wu
We establish error estimates of the first-order exponential wave integrator (EWI) for the nonlinear Schrödinger equation (NLSE) with a highly singular potential in …
Error estimates of an exponential wave integrator for the nonlinear Schrödinger equation with singular potential
Weizhu Bao, Chushan Wang
We analyze a first-order exponential wave integrator (EWI) for the nonlinear Schrödinger equation (NLSE) with a singular potential that is locally in , which might be locally…
Optimal error bounds on the exponential integrator for dispersive equations with highly concentrated potential
Guillaume Bal, Chushan Wang
We study a one-dimensional linear dispersive equation of differential order with concentrated potential of extension with , featurin…
Optimal error bounds on an exponential wave integrator Fourier spectral method for the logarithmic Schrödinger equation
Weizhu Bao, Ying Ma, Chushan Wang
We prove a nearly optimal error bound on the exponential wave integrator Fourier spectral (EWI-FS) method for the logarithmic Schrödinger equation (LogSE) under the assumption of…
Explicit symmetric low-regularity integrators for the nonlinear Schrödinger equation
Yue Feng, Georg Maierhofer, Chushan Wang
The numerical approximation of low-regularity solutions to the nonlinear Schrödinger equation is notoriously difficult and even more so if structure-preserving schemes are sought.…
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…