On a class of derivative Nonlinear Schrödinger-type equations in two spatial dimensions
DOI10.1051/m2an/2019018zbMath1427.65277arXiv1805.12351OpenAlexW2962941455MaRDI QIDQ4972101
Christof Sparber, Christian Klein, Jack Arbunich
Publication date: 22 November 2019
Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1805.12351
nonlinear Schrödinger equationorbital stabilityfinite-time blow-upspectral resolutionRunge-Kutta algorithmself-steepeningderivative nonlinearity
NLS equations (nonlinear Schrödinger equations) (35Q55) Numerical methods for initial value problems involving ordinary differential equations (65L05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Blow-up in context of PDEs (35B44)
Related Items (5)
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