English

Existence of traveling waves for the two-dimensional Zakharov system

Analysis of PDEs 2026-03-16 v1

Abstract

Via a fixed point argument, we construct solitary waves for the two-dimensional Zakharov system that travel with any small speed cR2c \in \mathbb{R}^2. Moreover, we investigate their asymptotic behavior.

Keywords

Cite

@article{arxiv.2603.12874,
  title  = {Existence of traveling waves for the two-dimensional Zakharov system},
  author = {Guillaume Rialland},
  journal= {arXiv preprint arXiv:2603.12874},
  year   = {2026}
}