Multi-solitary waves for the one-dimensional Zakharov system
Given different speeds $c_1,\dots , c_K$, in the present paper we establish the existence of a solution to the Zakharov system in dimension $1$ that behaves asymptotically like a $K$-solitary wave, each wave travelling with speed $c_k$. The proof is adapted from previous results for the NLS and gKdV...
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| Language: | English |
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Académie des sciences
2025-04-01
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| Series: | Comptes Rendus. Mathématique |
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| Online Access: | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.732/ |
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| author | Rialland, Guillaume |
| author_facet | Rialland, Guillaume |
| author_sort | Rialland, Guillaume |
| collection | DOAJ |
| description | Given different speeds $c_1,\dots , c_K$, in the present paper we establish the existence of a solution to the Zakharov system in dimension $1$ that behaves asymptotically like a $K$-solitary wave, each wave travelling with speed $c_k$. The proof is adapted from previous results for the NLS and gKdV equations. |
| format | Article |
| id | doaj-art-d0f964bf13434bfda6d75f0bc77a1b5a |
| institution | Kabale University |
| issn | 1778-3569 |
| language | English |
| publishDate | 2025-04-01 |
| publisher | Académie des sciences |
| record_format | Article |
| series | Comptes Rendus. Mathématique |
| spelling | doaj-art-d0f964bf13434bfda6d75f0bc77a1b5a2025-08-20T03:58:17ZengAcadémie des sciencesComptes Rendus. Mathématique1778-35692025-04-01363G328332110.5802/crmath.73210.5802/crmath.732Multi-solitary waves for the one-dimensional Zakharov systemRialland, Guillaume0Université de Paris-Saclay, UVSQ, CNRS, Laboratoire de Mathématiques de Versailles, 78000 Versailles, FranceGiven different speeds $c_1,\dots , c_K$, in the present paper we establish the existence of a solution to the Zakharov system in dimension $1$ that behaves asymptotically like a $K$-solitary wave, each wave travelling with speed $c_k$. The proof is adapted from previous results for the NLS and gKdV equations.https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.732/Zakharov systemmulti-solitary wavesasymptotic behaviour |
| spellingShingle | Rialland, Guillaume Multi-solitary waves for the one-dimensional Zakharov system Comptes Rendus. Mathématique Zakharov system multi-solitary waves asymptotic behaviour |
| title | Multi-solitary waves for the one-dimensional Zakharov system |
| title_full | Multi-solitary waves for the one-dimensional Zakharov system |
| title_fullStr | Multi-solitary waves for the one-dimensional Zakharov system |
| title_full_unstemmed | Multi-solitary waves for the one-dimensional Zakharov system |
| title_short | Multi-solitary waves for the one-dimensional Zakharov system |
| title_sort | multi solitary waves for the one dimensional zakharov system |
| topic | Zakharov system multi-solitary waves asymptotic behaviour |
| url | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.732/ |
| work_keys_str_mv | AT riallandguillaume multisolitarywavesfortheonedimensionalzakharovsystem |