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arXiv · 2603.15419

Infinite-order multisoliton solutions to the Benjamin--Ono equation and soliton resolution

Louise Gassot·Patrick Gérard
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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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Louise Gassot, Patrick Gérard. 2026-03-16. Infinite-order multisoliton solutions to the Benjamin--Ono equation and soliton resolution. https://arxiv.org/abs/2603.15419

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