Hostname: page-component-78c5997874-4rdpn Total loading time: 0 Render date: 2024-11-09T09:09:31.846Z Has data issue: false hasContentIssue false
  • English
  • Français

A singular perturbation problem and the existence of non-commutative non-rotationally symmetric scalar solitons

Published online by Cambridge University Press:  12 July 2007

Robert J. Magnus
Robert J. Magnus
Affiliation:
Mathematics Division, University Science Institute, Dunhaga 3, 107-Reykjavik, Iceland ([email protected])
Get access Rights & Permissions [Opens in a new window]

Abstract

The existence of solitons in non-commutative scalar field theories is proved for large values of the non-commutativity parameter using functional analysis. In the case of even phase-space dimensions greater than or equal to four, the solitons include some that are not rotationally symmetric.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 133 , Issue 1 , February 2003 , pp. 151 - 156
Copyright
Copyright © Royal Society of Edinburgh 2003

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)