Asymptotic decay of solitary wave solutions of the fractional nonlinear Schrödinger equation
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866909686788259840 |
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| author | Durán, Ángel Reguera, Nuria |
| author_facet | Durán, Ángel Reguera, Nuria |
| contents | The existence of solitary wave solutions of the one-dimensional version of the fractional nonlinear Schrödinger (fNLS) equation was analyzed by the authors in a previous work. In this paper, the asymptotic decay of the solitary waves is analyzed. From the formulation of the differential system for the wave profiles as a convolution, these are shown to decay algebraically to zero at infinity, with an order which depends on the parameter determining the fractional order of the equation. Some numerical experiments illustrate the result. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_09335 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Asymptotic decay of solitary wave solutions of the fractional nonlinear Schrödinger equation Durán, Ángel Reguera, Nuria Analysis of PDEs 76B25, 35C07, 65H10 The existence of solitary wave solutions of the one-dimensional version of the fractional nonlinear Schrödinger (fNLS) equation was analyzed by the authors in a previous work. In this paper, the asymptotic decay of the solitary waves is analyzed. From the formulation of the differential system for the wave profiles as a convolution, these are shown to decay algebraically to zero at infinity, with an order which depends on the parameter determining the fractional order of the equation. Some numerical experiments illustrate the result. |
| title | Asymptotic decay of solitary wave solutions of the fractional nonlinear Schrödinger equation |
| topic | Analysis of PDEs 76B25, 35C07, 65H10 |
| url | https://arxiv.org/abs/2507.09335 |