Test environment running 7.6.6

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.

On a class of spatial discretizations of equations of the nonlinear Schrodinger type

Date

Authors

Kevrekidis, P G

Dmitriev, S V

Sukhorukov, Andrey

Publisher

Elsevier

Abstract

We demonstrate the systematic derivation of a class of discretizations of nonlinear Schrödinger (NLS) equations for general polynomial nonlinearity whose stationary solutions can be found from a reduced two-point algebraic condition. We then focus on the

Keywords

Keywords: Mathematical models; Polynomial approximation; Problem solving; Theorem proving; Conservation laws; Continuum siblings; Discretizations; Lattice momentum; Schrodinger (NLS) equations; Nonlinear equations

URI

http://hdl.handle.net/1885/53970

Collections

Open Access Research

Source

Mathematics and Computers in Simulation

Type

Journal article

DOI

10.1016/j.matcom.2006.10.014

Restricted until

2037-12-31

Downloads

File

Description

01_Kevrekidis_On_a_class_of_spatial_2007.pdf (475.5 KB)