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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| Format: | Article |
| Language: | English |
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Académie des sciences
2025-04-01
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| Series: | Comptes Rendus. Mathématique |
| Subjects: | |
| Online Access: | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.732/ |
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| Summary: | 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. |
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| ISSN: | 1778-3569 |