Staggered dispersions: Part I. Shocliton, quantum revival and fractalization
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arXiv
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| Format: | Preprint |
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2023
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| _version_ | 1866911426107408384 |
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| author | Zhu, Jian-Zhou |
| author_facet | Zhu, Jian-Zhou |
| contents | Alternating the signs of the frequencies for Fourier components with even and odd (normalized) wavenumbers in the nonlinear-wave, such as the Korteweg-de Vries, equations maintains a constantly drifting dispersive shock with similar solitonic oscillations on both sides, like some plasma and quantum shocks. Such \textit{staggered dispersions} support bi-directional waves and can symmetrize and deregularize (to some degree) the nonlinear dynamics, with physical consequences that can also be reflected in the fractalization and quantum revival (Talbot effect). |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2302_12025 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Staggered dispersions: Part I. Shocliton, quantum revival and fractalization Zhu, Jian-Zhou Mathematical Physics Pattern Formation and Solitons Alternating the signs of the frequencies for Fourier components with even and odd (normalized) wavenumbers in the nonlinear-wave, such as the Korteweg-de Vries, equations maintains a constantly drifting dispersive shock with similar solitonic oscillations on both sides, like some plasma and quantum shocks. Such \textit{staggered dispersions} support bi-directional waves and can symmetrize and deregularize (to some degree) the nonlinear dynamics, with physical consequences that can also be reflected in the fractalization and quantum revival (Talbot effect). |
| title | Staggered dispersions: Part I. Shocliton, quantum revival and fractalization |
| topic | Mathematical Physics Pattern Formation and Solitons |
| url | https://arxiv.org/abs/2302.12025 |