On dispersion managed nonlinear Schrödinger equations with lumped amplification
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2020
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| _version_ | 1866916291102638080 |
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| author | Choi, Mi-Ran Kang, Younghoon Lee, Young-Ran |
| author_facet | Choi, Mi-Ran Kang, Younghoon Lee, Young-Ran |
| contents | We show the global well-posedness of the nonlinear Schrödinger equation with periodically varying coefficients and a small parameter $\varepsilon>0$, which is used in optical-fiber communications. We also prove that the solutions converge to the solution for the Gabitov-Turitsyn or averaged equation as $\varepsilon$ tends to zero. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2009_10381 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | On dispersion managed nonlinear Schrödinger equations with lumped amplification Choi, Mi-Ran Kang, Younghoon Lee, Young-Ran Analysis of PDEs 35Q55, 35Q60, 35A01 We show the global well-posedness of the nonlinear Schrödinger equation with periodically varying coefficients and a small parameter $\varepsilon>0$, which is used in optical-fiber communications. We also prove that the solutions converge to the solution for the Gabitov-Turitsyn or averaged equation as $\varepsilon$ tends to zero. |
| title | On dispersion managed nonlinear Schrödinger equations with lumped amplification |
| topic | Analysis of PDEs 35Q55, 35Q60, 35A01 |
| url | https://arxiv.org/abs/2009.10381 |