Infinite-order multisoliton solutions to the Benjamin--Ono equation and soliton resolution
Analysis of PDEs
2026-03-17 v1
Abstract
We construct a class of infinite-order multisoliton solutions of the Benjamin-Ono equation on the line, for which the initial data exhibits slow spatial decay. We prove that in the long-time asymptotics, such a solution decouples as an infinite superposition of independent soliton solutions with different velocities and no radiation term.
Keywords
Cite
@article{arxiv.2603.15419,
title = {Infinite-order multisoliton solutions to the Benjamin--Ono equation and soliton resolution},
author = {Louise Gassot and Patrick Gérard},
journal= {arXiv preprint arXiv:2603.15419},
year = {2026}
}