Cultural advice

The Australian National University acknowledges, celebrates and pays our respects to the Ngunnawal and Ngambri people of the Canberra region and to all First Nations Australians on whose traditional lands we meet and work, and whose cultures are among the oldest continuing cultures in human history.

Aboriginal and Torres Strait Islander peoples are advised that ANU Library collections may include images, names, voices, and other representations of deceased persons.

Material in the collection may contain terms, language or views that reflect the period in which the item was created and may be considered inappropriate today.

Three-dimensional rogue waves in nonstationary parabolic potentials

Date

Authors

Yan, Zhenya

Konotop, Vladimir

Akhmediev, Nail

Publisher

American Physical Society

Abstract

Using symmetry analysis we systematically present a higher-dimensional similarity transformation reducing the (3+1) -dimensional inhomogeneous nonlinear Schrödinger (NLS) equation with variable coefficients and parabolic potential to the (1+1) -dimension

Keywords

Keywords: Bose-Einstein condensates; Constant coefficients; Exact solution; Higher-dimensional; NLS equations; Nonstationary; Parabolic potential; Potential applications; Rational solution; Rogue waves; Similarity transformation; Symmetry analysis; Three dimensions

URI

http://hdl.handle.net/1885/25776

Collections

ANU Research Publications

Source

Physical Review E-Statistical, Nonlinear and Soft Matter Physics

Type

Journal article

DOI

10.1103/PhysRevE.82.036610

Restricted until

2037-12-31

Downloads

File

Description

01_Yan_Three-dimensional_rogue_waves_2010.pdf (508.59 KB)