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arXiv · 2603.12874

Existence of traveling waves for the two-dimensional Zakharov system

Guillaume Rialland
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Abstract

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.

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Guillaume Rialland. 2026-03-13. Existence of traveling waves for the two-dimensional Zakharov system. https://arxiv.org/abs/2603.12874

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