The noncommutative sine-Gordon breather
Journal Article
·
· Journal of Mathematical Physics
- Institut fuer Theoretische Physik, Leibniz Universitaet Hannover, Appelstrasse 2, 30167 Hannover (Germany)
As shown by Lechtenfeld et al. [Nucl. Phys. B 705, 447 (2005)], there exists a noncommutative deformation of the sine-Gordon model which remains (classically) integrable but features a second scalar field. We employ the dressing method (adapted to the Moyal-deformed situation) for constructing the deformed kink-antikink and breather configurations. Explicit results and plots are presented for the leading noncommutativity correction to the breather. Its temporal periodicity is unchanged.
- OSTI ID:
- 21294331
- Journal Information:
- Journal of Mathematical Physics, Journal Name: Journal of Mathematical Physics Journal Issue: 9 Vol. 50; ISSN JMAPAQ; ISSN 0022-2488
- Country of Publication:
- United States
- Language:
- English
Similar Records
Interaction between sine-Gordon breathers
Global coordinates for the breather-kink (antikink) sine-Gordon phase space: An explicit separatrix as a possible source of chaos
Breather--kink-antikink-pair conversion in the driven sine-Gordon system
Journal Article
·
Wed Aug 01 00:00:00 EDT 2001
· Physical Review E
·
OSTI ID:40277020
Global coordinates for the breather-kink (antikink) sine-Gordon phase space: An explicit separatrix as a possible source of chaos
Journal Article
·
Thu Nov 30 23:00:00 EST 1989
· Physical Review (Section) A: General Physics; (USA)
·
OSTI ID:7162441
Breather--kink-antikink-pair conversion in the driven sine-Gordon system
Journal Article
·
Sat Dec 31 23:00:00 EST 1983
· Phys. Rev. A; (United States)
·
OSTI ID:5168581