The noncommutative sine-Gordon breather

Andŕ Fischer; Olaf Lechtenfeld

doi:10.1063/1.3093825

The noncommutative sine-Gordon breather

Andŕ Fischer^*
, Olaf Lechtenfeld

^*Corresponding author for this work

Institute of Theoretical Physics

Research output: Contribution to journal › Article › Research › peer review

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.

Original language	English
Article number	095201
Journal	Journal of mathematical physics
Volume	50
Issue number	9
DOIs	https://doi.org/10.1063/1.3093825
Publication status	Published - 2009

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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title = "The noncommutative sine-Gordon breather",

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.",

author = "And{\'r} Fischer and Olaf Lechtenfeld",

note = "Funding Information: The authors are grateful to D. Harland, S. K{\"u}rk{\c c}{\"u}oğlu, 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.",

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PY - 2009

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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.

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ER -

The noncommutative sine-Gordon breather

Abstract

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