Multi-solitary waves for the one-dimensional Zakharov system
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866914426099073024 |
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| author | Rialland, Guillaume |
| author_facet | Rialland, Guillaume |
| contents | Given different speeds $c_1$ , ... , $c_K$, 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 | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_14772 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Multi-solitary waves for the one-dimensional Zakharov system Rialland, Guillaume Analysis of PDEs Given different speeds $c_1$ , ... , $c_K$, 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. |
| title | Multi-solitary waves for the one-dimensional Zakharov system |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2412.14772 |