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arXiv · 1201.0251

Bragg gap solitons in $\mathcal{PT}$ symmetric lattices with competing nonlinearity

Shuang Liu·Caiwen Ma·Yiqi Zhang·Keqing Lu
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Abstract

The effect of competing nonlinearity on beam dynamics in parity-time $(\mathcal{PT})$ symmetric potentials is investigated. By using numerical methods, the existence of gap solitons is demonstrated in the first Bragg gap of optical $\mathcal{PT}$ symmetric lattices with competing nonlinearity. Meanwhile, the stability of such solitons is analyzed through introducing a small perturbation to the solitary solutions. The abrupt annihilation of the solitons during propagation demonstrates the Bragg gap solitons in $\mathcal{PT}$ symmetric potentials are not stable. In comparison with the on-site gap solitons, the off-site gap solitons exhibit more robust properties during propagation.

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Shuang Liu, Caiwen Ma, Yiqi Zhang, Keqing Lu. 2011-12-31. Bragg gap solitons in $\mathcal{PT}$ symmetric lattices with competing nonlinearity. https://doi.org/10.1016/j.optcom.2011.11.065

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