Mechanism of wave breaking from a vacuum point in the defocusing nonlinear Schrödinger equation

Moro, Antonio and Trillo, Stefano (2014) Mechanism of wave breaking from a vacuum point in the defocusing nonlinear Schrödinger equation. Physical Review E (PRE), 89 (2). ISSN 1550-2376

[img]
Preview
Text (Full text)
PhysRevE.89.023202.pdf - Published Version
Available under License Creative Commons Attribution.

Download (749kB) | Preview
Official URL: http://dx.doi.org/10.1103/PhysRevE.89.023202

Abstract

We study the wave breaking mechanism for the weakly dispersive defocusing nonlinear Schrödinger equation with a constant phase dark initial datum that contains a vacuum point at the origin. We prove by means of the exact solution to the initial value problem that, in the dispersionless limit, the vacuum point is preserved by the dynamics until breaking occurs at a finite critical time. In particular, both Riemann invariants experience a simultaneous breaking at the origin. Although the initial vacuum point is no longer preserved in the presence of a finite dispersion, the critical behavior manifests itself through an abrupt transition occurring around the breaking time.

Item Type: Article
Subjects: F300 Physics
G100 Mathematics
Department: Faculties > Engineering and Environment > Mathematics, Physics and Electrical Engineering
Depositing User: Nicola King
Date Deposited: 03 Apr 2014 08:24
Last Modified: 24 Oct 2017 08:53
URI: http://nrl.northumbria.ac.uk/id/eprint/16043

Actions (login required)

View Item View Item

Downloads

Downloads per month over past year

View more statistics


Policies: NRL Policies | NRL University Deposit Policy | NRL Deposit Licence