{"scopus_import":"1","extern":"1","volume":389,"main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.2009.06746"}],"language":[{"iso":"eng"}],"title":"Orbital stability of KdV multisolitons in H-1","date_created":"2026-06-19T07:46:39Z","day":"01","abstract":[{"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.","lang":"eng"}],"type":"journal_article","publication":"Communications in Mathematical Physics","intvolume":"       389","arxiv":1,"external_id":{"arxiv":["2009.06746"]},"citation":{"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.","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>.","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>","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>","ista":"Killip R, Vişan M. 2022. Orbital stability of KdV multisolitons in H-1. Communications in Mathematical Physics. 389(3), 1445–1473.","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>.","short":"R. Killip, M. Vişan, Communications in Mathematical Physics 389 (2022) 1445–1473."},"page":"1445-1473","author":[{"last_name":"Killip","full_name":"Killip, Rowan","first_name":"Rowan"},{"first_name":"Monica","full_name":"Visan, Monica","id":"056daca0-b8d1-11f0-964f-f91054abf8ca","last_name":"Visan"}],"quality_controlled":"1","_id":"22043","doi":"10.1007/s00220-021-04280-y","date_updated":"2026-06-25T07:41:51Z","publication_status":"published","article_type":"original","date_published":"2022-02-01T00:00:00Z","month":"02","das_tickbox":"1","publisher":"Springer Nature","oa":1,"article_processing_charge":"No","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","publication_identifier":{"issn":["0010-3616"],"eissn":["1432-0916"]},"OA_place":"repository","OA_type":"green","oa_version":"Preprint","status":"public","issue":"3","year":"2022"}