Solitons in Quasiperiodic Lattices with Fractional Diffraction
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866915235132080128 |
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| author | Pavlyshynets, Eduard Salasnich, Luca Malomed, Boris A. Yakimenko, Alexander |
| author_facet | Pavlyshynets, Eduard Salasnich, Luca Malomed, Boris A. Yakimenko, Alexander |
| contents | We study the dynamics of solitons under the action of one-dimensional quasiperiodic lattice potentials, fractional diffraction, and nonlinearity. The formation and stability of the solitons is investigated in the framework of the fractional nonlinear Schrödinger equation. By means of variational and numerical methods, we identify conditions under which stable solitons emerge, stressing the effect of the fractional diffraction on soliton properties. The reported findings contribute to the understanding of the soliton behavior in complex media, with implications for topological photonics and matter-wave dynamics in lattice potentials. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_18299 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Solitons in Quasiperiodic Lattices with Fractional Diffraction Pavlyshynets, Eduard Salasnich, Luca Malomed, Boris A. Yakimenko, Alexander Pattern Formation and Solitons We study the dynamics of solitons under the action of one-dimensional quasiperiodic lattice potentials, fractional diffraction, and nonlinearity. The formation and stability of the solitons is investigated in the framework of the fractional nonlinear Schrödinger equation. By means of variational and numerical methods, we identify conditions under which stable solitons emerge, stressing the effect of the fractional diffraction on soliton properties. The reported findings contribute to the understanding of the soliton behavior in complex media, with implications for topological photonics and matter-wave dynamics in lattice potentials. |
| title | Solitons in Quasiperiodic Lattices with Fractional Diffraction |
| topic | Pattern Formation and Solitons |
| url | https://arxiv.org/abs/2409.18299 |