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.

Conservation Laws and Integral Relations for the Boussinesq Equation

Thumbnail Image

Date

2017

Authors

Ankiewicz, Adrian
Clarkson, Peter A.
Bassom, A. P.
Dowie, E.

Journal Title

Journal ISSN

Volume Title

Publisher

Blackwell Publishing Ltd

Abstract

We are concerned with conservation laws and integral relations associated with rational solutions of the Boussinesq equation, a soliton equation solvable by inverse scattering, which was first introduced by Boussinesq in 1871. The rational solutions are logarithmic derivatives of a polynomial, are algebraically decaying, and have a similar appearance to rogue-wave solutions of the focusing nonlinear Schrödinger equation. For these rational solutions, the constants of motion associated with the conserved quantities are zero and they have some interesting integral relations, which depend on the total degree of the associated polynomial.

Description

Keywords

Citation

URI

http://hdl.handle.net/1885/217925

Collections

ANU Research Publications

Source

Studies in Applied Mathematics

Type

Journal article

Book Title

Entity type

Access Statement

Open Access

License Rights

DOI

10.1111/sapm.12174

Restricted until

Downloads

File
Description
sapm.12174.pdf (849.85 KB)
Author Accepted Manuscript

DSpace software copyright © 2002-2026 LYRASIS