---
OA_place: repository
OA_type: green
_id: '22043'
abstract:
- lang: eng
  text: We prove that multisoliton solutions of the Korteweg–de Vries equation are
    orbitally stable in H^-1(R). We introduce a variational characterization of multisolitons
    that remains meaningful at such low regularity and show that all optimizing sequences
    converge to the manifold of multisolitons. The proximity required at the initial
    time is uniform across the entire manifold of multisolitons; this had not been
    demonstrated previously, even in H^-1.
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Rowan
  full_name: Killip, Rowan
  last_name: Killip
- first_name: Monica
  full_name: Visan, Monica
  id: 056daca0-b8d1-11f0-964f-f91054abf8ca
  last_name: Visan
citation:
  ama: Killip R, Vişan M. Orbital stability of KdV multisolitons in H-1. <i>Communications
    in Mathematical Physics</i>. 2022;389(3):1445-1473. doi:<a href="https://doi.org/10.1007/s00220-021-04280-y">10.1007/s00220-021-04280-y</a>
  apa: Killip, R., &#38; Vişan, M. (2022). Orbital stability of KdV multisolitons
    in H-1. <i>Communications in Mathematical Physics</i>. Springer Nature. <a href="https://doi.org/10.1007/s00220-021-04280-y">https://doi.org/10.1007/s00220-021-04280-y</a>
  chicago: Killip, Rowan, and Monica Vişan. “Orbital Stability of KdV Multisolitons
    in H-1.” <i>Communications in Mathematical Physics</i>. Springer Nature, 2022.
    <a href="https://doi.org/10.1007/s00220-021-04280-y">https://doi.org/10.1007/s00220-021-04280-y</a>.
  ieee: R. Killip and M. Vişan, “Orbital stability of KdV multisolitons in H-1,” <i>Communications
    in Mathematical Physics</i>, vol. 389, no. 3. Springer Nature, pp. 1445–1473,
    2022.
  ista: Killip R, Vişan M. 2022. Orbital stability of KdV multisolitons in H-1. Communications
    in Mathematical Physics. 389(3), 1445–1473.
  mla: Killip, Rowan, and Monica Vişan. “Orbital Stability of KdV Multisolitons in
    H-1.” <i>Communications in Mathematical Physics</i>, vol. 389, no. 3, Springer
    Nature, 2022, pp. 1445–73, doi:<a href="https://doi.org/10.1007/s00220-021-04280-y">10.1007/s00220-021-04280-y</a>.
  short: R. Killip, M. Vişan, Communications in Mathematical Physics 389 (2022) 1445–1473.
das_tickbox: '1'
date_created: 2026-06-19T07:46:39Z
date_published: 2022-02-01T00:00:00Z
date_updated: 2026-06-25T07:41:51Z
day: '01'
doi: 10.1007/s00220-021-04280-y
extern: '1'
external_id:
  arxiv:
  - '2009.06746'
intvolume: '       389'
issue: '3'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.48550/arXiv.2009.06746
month: '02'
oa: 1
oa_version: Preprint
page: 1445-1473
publication: Communications in Mathematical Physics
publication_identifier:
  eissn:
  - 1432-0916
  issn:
  - 0010-3616
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: Orbital stability of KdV multisolitons in H-1
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 389
year: '2022'
...