# Gap solitons under competing local and nonlocal nonlinearities

@article{Kuo2011GapSU, title={Gap solitons under competing local and nonlocal nonlinearities}, author={K. H. Kuo and Yuanyao Lin and Ray-Kuang Lee and Boris A. Malomed}, journal={Physical Review A}, year={2011}, volume={83} }

We analyze the existence, bifurcations, and shape transformations of one-dimensional gap solitons (GSs) in the first finite band gap induced by a periodic potential built into materials with local self-focusing and nonlocal self-defocusing nonlinearities. Originally stable on-site GS modes become unstable near the upper edge of the band gap with the introduction of the nonlocal self-defocusing nonlinearity with a small nonlocality radius. Unstable off-site GSs bifurcate into a new branch…

## 13 Citations

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