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arXiv · 0811.1048

The noncommutative sine-Gordon breather

Andre Fischer·Olaf Lechtenfeld
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Abstract

As shown in [hep-th/0406065], 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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Andre Fischer, Olaf Lechtenfeld. 2008-11-06. The noncommutative sine-Gordon breather. https://doi.org/10.1063/1.3093825

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