Analytical approach for pure high, even-order dispersion solitons
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866910599353466880 |
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| author | Liao, Xing Huang, Jiahan Lu, Daquan Hu, Wei |
| author_facet | Liao, Xing Huang, Jiahan Lu, Daquan Hu, Wei |
| contents | We theoretically solve the nonlinear Schrödinger equation describing the propagation of pure high, even order dispersion (PHEODs) solitons by variational approach. The Lagrangian for nonlinear pulse transmission systems with each dispersion order are given and the analytical solutions of PHEOD soltions are obtained and compared with the numerical results. It is shown that the variational results approximate very well for lower orders of dispersion ($\le 8$) and get worst as the order increasing. In addition, using the linear stability analysis, we demonstrate that all PHEOD solitons are stable and obtain the soliton internal modes that accompany soliton transmission. These results are helpful for the application of PHEOD solitons in high energy lasers. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2409_07075 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Analytical approach for pure high, even-order dispersion solitons Liao, Xing Huang, Jiahan Lu, Daquan Hu, Wei Optics Pattern Formation and Solitons We theoretically solve the nonlinear Schrödinger equation describing the propagation of pure high, even order dispersion (PHEODs) solitons by variational approach. The Lagrangian for nonlinear pulse transmission systems with each dispersion order are given and the analytical solutions of PHEOD soltions are obtained and compared with the numerical results. It is shown that the variational results approximate very well for lower orders of dispersion ($\le 8$) and get worst as the order increasing. In addition, using the linear stability analysis, we demonstrate that all PHEOD solitons are stable and obtain the soliton internal modes that accompany soliton transmission. These results are helpful for the application of PHEOD solitons in high energy lasers. |
| title | Analytical approach for pure high, even-order dispersion solitons |
| topic | Optics Pattern Formation and Solitons |
| url | https://arxiv.org/abs/2409.07075 |