Existence of traveling waves for the two-dimensional Zakharov system

Fuente: arXiv
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Auteur principal: Rialland, Guillaume
Format: Preprint
Publié: 2026
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author Rialland, Guillaume
author_facet Rialland, Guillaume
contents Via a fixed point argument, we construct solitary waves for the two-dimensional Zakharov system that travel with any small speed $c \in \mathbb{R}^2$. Moreover, we investigate their asymptotic behavior.
format Preprint
id arxiv_https___arxiv_org_abs_2603_12874
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Existence of traveling waves for the two-dimensional Zakharov system
Rialland, Guillaume
Analysis of PDEs
Via a fixed point argument, we construct solitary waves for the two-dimensional Zakharov system that travel with any small speed $c \in \mathbb{R}^2$. Moreover, we investigate their asymptotic behavior.
title Existence of traveling waves for the two-dimensional Zakharov system
topic Analysis of PDEs
url https://arxiv.org/abs/2603.12874