Numerical study of the transverse stability of the Peregrine solution
From MaRDI portal
Publication:5134359
DOI10.1111/SAPM.12306zbMATH Open1452.65276arXiv1911.00918OpenAlexW3023352823MaRDI QIDQ5134359
Author name not available (Why is that?)
Publication date: 16 November 2020
Published in: (Search for Journal in Brave)
Abstract: We generalise a previously published approach based on a multi-domain spectral method on the whole real line in two ways: firstly, a fully explicit 4th order method for the time integration, based on a splitting scheme and an implicit Runge--Kutta method for the linear part, is presented. Secondly, the 1D code is combined with a Fourier spectral method in the transverse variable both for elliptic and hyperbolic NLS equations. As an example we study the transverse stability of the Peregrine solution, an exact solution to the one dimensional nonlinear Schr"odinger (NLS) equation and thus a -independent solution to the 2D NLS. It is shown that the Peregrine solution is unstable against all standard perturbations, and that some perturbations can even lead to a blow-up for the elliptic NLS equation.
Full work available at URL: https://arxiv.org/abs/1911.00918
No records found.
No records found.
This page was built for publication: Numerical study of the transverse stability of the Peregrine solution
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q5134359)
