Discretization effects in the nonlinear Schrödinger equation
The authors analyze discretization effects in blow up of the nonlinear Schrödinger equation (NLS). Examples whose discretization effects in simulations of perturbed NLS equations lead to wrong results are shown. A modified equation of the semi-discrete NLS, which is the NLS with high order anisotropic dispersion, captures the arrest of collapse but not the subsequent oscillations.
scientific article; zbMATH DE number 1879024
scientific article