Stabilization of self-steepening optical solitons in a periodic PT-symmetric potential
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866909259926601728 |
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| author | Çelik, Eril Güray Antar, Nalan |
| author_facet | Çelik, Eril Güray Antar, Nalan |
| contents | We numerically investigate the existence and stability dynamics of self-steepening optical solitons in a periodic PT-symmetric potential.
We show that self-steepening solitons of the modified nonlinear Schrödinger (MNLS) equation undergo a position shift and amplitude increase during their evolution in the MNLS equation. The stabilization of solitons by an external potential is a challenging issue. This study demonstrates that the suppression of both the amplitude increase and the position shift of self-steepening solitons can be achieved by adding a periodic PT-symmetric potential to the MNLS equation. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2407_12634 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Stabilization of self-steepening optical solitons in a periodic PT-symmetric potential Çelik, Eril Güray Antar, Nalan Pattern Formation and Solitons Mathematical Physics Optics Plasma Physics We numerically investigate the existence and stability dynamics of self-steepening optical solitons in a periodic PT-symmetric potential. We show that self-steepening solitons of the modified nonlinear Schrödinger (MNLS) equation undergo a position shift and amplitude increase during their evolution in the MNLS equation. The stabilization of solitons by an external potential is a challenging issue. This study demonstrates that the suppression of both the amplitude increase and the position shift of self-steepening solitons can be achieved by adding a periodic PT-symmetric potential to the MNLS equation. |
| title | Stabilization of self-steepening optical solitons in a periodic PT-symmetric potential |
| topic | Pattern Formation and Solitons Mathematical Physics Optics Plasma Physics |
| url | https://arxiv.org/abs/2407.12634 |