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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Bibliographic Details
Main Author: Rialland, Guillaume
Format: Article
Language:English
Published: Académie des sciences 2025-04-01
Series:Comptes Rendus. Mathématique
Subjects:
Online Access:https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.732/
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