{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,7]],"date-time":"2026-04-07T05:00:26Z","timestamp":1775538026753,"version":"3.50.1"},"reference-count":30,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"1","funder":[{"DOI":"10.13039\/501100003593","name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico","doi-asserted-by":"publisher","award":["303907\/2021-5"],"award-info":[{"award-number":["303907\/2021-5"]}],"id":[{"id":"10.13039\/501100003593","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Appl. Math."],"published-print":{"date-parts":[[2026,2,28]]},"DOI":"10.1137\/24m1665878","type":"journal-article","created":{"date-parts":[[2026,1,13]],"date-time":"2026-01-13T08:08:42Z","timestamp":1768291722000},"page":"187-204","source":"Crossref","is-referenced-by-count":1,"title":["On the Orbital Stability of Solitary Waves for the Fourth Order Nonlinear Schr\u00f6dinger Equation"],"prefix":"10.1137","volume":"86","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-0491-9562","authenticated-orcid":true,"given":"Handan","family":"Borluk","sequence":"first","affiliation":[{"name":"Department of Mathematical Engineering, Ozyegin University, Cekmekoy, Istanbul, T\u00fcrkiye."}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2268-3992","authenticated-orcid":true,"given":"Gulcin M.","family":"Muslu","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Istanbul Technical University, Maslak, 34469 Istanbul, T\u00fcrkiye."}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-6458-2730","authenticated-orcid":true,"given":"F\u00e1bio","family":"Natali","sequence":"additional","affiliation":[{"name":"Department of Mathematics, State University of Maring\u00e1, Maring\u00e1, PR, Brazil."}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"351","published-online":{"date-parts":[[2026,1,13]]},"reference":[{"key":"ref1","unstructured":"M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions: With Formulas, Graphs, and Mathematical Tables, Dover, New York, 1970."},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1080\/03605309208820831"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1093\/imamat\/46.1-2.1"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1016\/0167-2789(87)90084-4"},{"key":"ref5","first-page":"489","volume":"293","author":"Berestycki H.","year":"1981","journal-title":"C. R. Acad. Sci. Paris S\u00e9r. I Math."},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1137\/17M1154138"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-319-19902-3_4"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1016\/j.cnsns.2024.107953"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1016\/0022-1236(76)90004-5"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.3934\/dcdsb.2007.8.773"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1080\/00207160.2017.1422732"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1016\/0022-1236(87)90044-9"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1016\/0022-1236(90)90016-E"},{"key":"ref14","volume-title":"Total Positivity","author":"Karlin S.","year":"1968"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.53.R1336"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1016\/S0167-2789(00)00078-6"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1137\/18M1215050"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1016\/S0167-2789(98)00245-0"},{"key":"ref19","unstructured":"F. Linares and G. Ponce, Introduction to Nonlinear Dispersive Equations, Springer, New York, 2008."},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1016\/j.jde.2022.09.015"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1137\/151004884"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-74349-8"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1016\/j.physd.2020.132499"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1088\/1361-6544\/ac4816"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.4310\/DPDE.2007.v4.n3.a1"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1137\/S0036142902414232"},{"key":"ref27","volume-title":"Methods of Modern Mathematical Physics IV. Analysis of Operators","author":"Reed M.","year":"1978"},{"key":"ref28","doi-asserted-by":"publisher","DOI":"10.1007\/s00332-023-09922-0"},{"key":"ref29","doi-asserted-by":"publisher","DOI":"10.1007\/BF01208265"},{"key":"ref30","doi-asserted-by":"publisher","DOI":"10.1002\/cpa.3160390103"}],"container-title":["SIAM Journal on Applied Mathematics"],"original-title":[],"language":"en","deposited":{"date-parts":[[2026,1,20]],"date-time":"2026-01-20T17:57:32Z","timestamp":1768931852000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/24M1665878"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2026,1,13]]},"references-count":30,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2026,2,28]]}},"alternative-id":["10.1137\/24M1665878"],"URL":"https:\/\/doi.org\/10.1137\/24m1665878","relation":{},"ISSN":["0036-1399","1095-712X"],"issn-type":[{"value":"0036-1399","type":"print"},{"value":"1095-712X","type":"electronic"}],"subject":[],"published":{"date-parts":[[2026,1,13]]}}}