Details
| Original language | English |
|---|---|
| Article number | 095201 |
| Journal | Journal of mathematical physics |
| Volume | 50 |
| Issue number | 9 |
| Publication status | Published - 2009 |
Abstract
As shown by Lechtenfeld [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.
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Statistical and Nonlinear Physics
- Mathematics(all)
- Mathematical Physics
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In: Journal of mathematical physics, Vol. 50, No. 9, 095201, 2009.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - The noncommutative sine-Gordon breather
AU - Fischer, Andŕ
AU - Lechtenfeld, Olaf
N1 - Funding Information: The authors are grateful to D. Harland, S. Kürkçüoğlu, and A. D. Popov for fruitful discussions. The work of A.F. and O.L. is partially supported by the Deutsche Forschungsgemeinschaft (Grant No. LE-838/9). Copyright: Copyright 2009 Elsevier B.V., All rights reserved.
PY - 2009
Y1 - 2009
N2 - As shown by Lechtenfeld [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.
AB - As shown by Lechtenfeld [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.
UR - http://www.scopus.com/inward/record.url?scp=70349656664&partnerID=8YFLogxK
U2 - 10.1063/1.3093825
DO - 10.1063/1.3093825
M3 - Article
AN - SCOPUS:70349656664
VL - 50
JO - Journal of mathematical physics
JF - Journal of mathematical physics
SN - 0022-2488
IS - 9
M1 - 095201
ER -