PreprintCC BY 4.0HAL
Infinite-order multisoliton solutions to the Benjamin--Ono equation and soliton resolution
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.
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BibTeX
@misc{gassot2026infiniteorder,
title = {{Infinite-order multisoliton solutions to the Benjamin--Ono equation and soliton resolution}},
author = {Louise Gassot and Patrick Gérard},
howpublished = {HAL},
year = {2026},
month = aug,
eprint = {2603.15419},
archivePrefix = {arXiv},
url = {https://hal.science/hal-05765504v1},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Infinite-order multisoliton solutions to the Benjamin--Ono equation and soliton resolution
AU - Louise Gassot
AU - Patrick Gérard
PY - 2026
DA - 2026/08/07
PB - HAL
UR - https://hal.science/hal-05765504v1
AB - 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.
ER -