Multi-solitary waves for the one-dimensional Zakharov system
Analysis of PDEs
2026-03-30 v3
Abstract
Given different speeds , ... , , in the present paper we establish the existence of a solution to the Zakharov system in dimension 1 that behaves asymptotically like a -solitary wave, each wave travelling with speed . The proof is adapted from previous results for the NLS and gKdV equations.
Keywords
Cite
@article{arxiv.2412.14772,
title = {Multi-solitary waves for the one-dimensional Zakharov system},
author = {Guillaume Rialland},
journal= {arXiv preprint arXiv:2412.14772},
year = {2026}
}