Affordable Access

Publisher Website

A numerical study of the nonlinear Schrödinger equation involving quintic terms

Authors
Journal
Journal of Computational Physics
0021-9991
Publisher
Elsevier
Publication Date
Volume
86
Issue
1
Identifiers
DOI: 10.1016/0021-9991(90)90094-h

Abstract

Abstract The cubic-quintic Schrödinger equation is known to possess solutions that grow unboundedly in finite time. By exploiting its conservation properties we derive sufficient conditions for bounded solutions. The computation of solutions near the critical threshold poses difficulties, since the number of active Fourier-components increase dramatically, resulting in steep temporal and spatial gradients. To overcome this difficulty we propose an efficient pseudospectral scheme which adaptively adjust the number of degrees of freedom.

There are no comments yet on this publication. Be the first to share your thoughts.