Characterizing far from equilibrium states of the one-dimensional nonlinear Schr{ö}dinger equation
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arXiv
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| Format: | Preprint |
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2022
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| _version_ | 1866929751859396608 |
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| author | Saha, Abhik Kumar Dubessy, Romain |
| author_facet | Saha, Abhik Kumar Dubessy, Romain |
| contents | We use the mathematical toolbox of the inverse scattering transform to study quantitatively the number of solitons in far from equilibrium one-dimensional systems described by the defocusing nonlinear Schr{ö}dinger equation. We present a simple method to identify the discrete eigenvalues in the Lax spectrum and provide a extensive benchmark of its efficiency. Our method can be applied in principle to all physical systems described by the defocusing nonlinear Schr{ö}dinger equation and allows to identify the solitons velocity distribution in numerical simulations and possibly experiments. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2210_09812 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Characterizing far from equilibrium states of the one-dimensional nonlinear Schr{ö}dinger equation Saha, Abhik Kumar Dubessy, Romain Pattern Formation and Solitons We use the mathematical toolbox of the inverse scattering transform to study quantitatively the number of solitons in far from equilibrium one-dimensional systems described by the defocusing nonlinear Schr{ö}dinger equation. We present a simple method to identify the discrete eigenvalues in the Lax spectrum and provide a extensive benchmark of its efficiency. Our method can be applied in principle to all physical systems described by the defocusing nonlinear Schr{ö}dinger equation and allows to identify the solitons velocity distribution in numerical simulations and possibly experiments. |
| title | Characterizing far from equilibrium states of the one-dimensional nonlinear Schr{ö}dinger equation |
| topic | Pattern Formation and Solitons |
| url | https://arxiv.org/abs/2210.09812 |