Construction of a multi-soliton-like solutions for non-integrable Schrödinger equations with non-trivial far field
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arXiv
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| Format: | Preprint |
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2026
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| _version_ | 1866914435457613824 |
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| author | Berthoumieu, Jordan |
| author_facet | Berthoumieu, Jordan |
| contents | This article provides a naturel sequel of previous works [6, 4] regarding the stability of travelling waves for a general one-dimensional Schrödinger equation (N LS) with non-zero condition at infinity. The aim of this article is twofold. First, we prove the asymptotic stability of well-prepared chains of dark solitons and secondly, we construct an asymptotic N -soliton-like solution, which is an exact solution of (N LS), the large-time dynamics of which is similar to a decoupled chain of solitons. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_29906 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Construction of a multi-soliton-like solutions for non-integrable Schrödinger equations with non-trivial far field Berthoumieu, Jordan Analysis of PDEs This article provides a naturel sequel of previous works [6, 4] regarding the stability of travelling waves for a general one-dimensional Schrödinger equation (N LS) with non-zero condition at infinity. The aim of this article is twofold. First, we prove the asymptotic stability of well-prepared chains of dark solitons and secondly, we construct an asymptotic N -soliton-like solution, which is an exact solution of (N LS), the large-time dynamics of which is similar to a decoupled chain of solitons. |
| title | Construction of a multi-soliton-like solutions for non-integrable Schrödinger equations with non-trivial far field |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2603.29906 |