{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,29]],"date-time":"2026-04-29T07:46:41Z","timestamp":1777448801205,"version":"3.51.4"},"reference-count":0,"publisher":"SAGE Publications","issue":"2","license":[{"start":{"date-parts":[[2010,2,1]],"date-time":"2010-02-01T00:00:00Z","timestamp":1264982400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/journals.sagepub.com\/page\/policies\/text-and-data-mining-license"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Asymptotic Analysis"],"published-print":{"date-parts":[[2010,2]]},"abstract":"<jats:p>\n                    The semiclassical limit of a weakly coupled nonlinear focusing Schr\u00f6dinger system in presence of a nonconstant potential is studied. The initial data is of the form (u\n                    <jats:sub>1<\/jats:sub>\n                    , u\n                    <jats:sub>2<\/jats:sub>\n                    ) with u\n                    <jats:sub>i<\/jats:sub>\n                    =r\n                    <jats:sub>i<\/jats:sub>\n                    ((x\u2212x\u02dc)\/\u03b5)e\n                    <jats:sup>(i\/\u03b5)x\u00b7\u03be\u02dc<\/jats:sup>\n                    , where (r\n                    <jats:sub>1<\/jats:sub>\n                    , r\n                    <jats:sub>2<\/jats:sub>\n                    ) is a real ground state solution, belonging to a suitable class, of an associated autonomous elliptic system. For \u03b5 sufficiently small, the solution (\u03d5\n                    <jats:sub>1<\/jats:sub>\n                    , \u03d5\n                    <jats:sub>2<\/jats:sub>\n                    ) will been shown to have, locally in time, the form (r\n                    <jats:sub>1<\/jats:sub>\n                    ((x\u2212x(t))\/\u03b5)e\n                    <jats:sup>(i\/\u03b5)x\u00b7\u03be(t)<\/jats:sup>\n                    , r\n                    <jats:sub>2<\/jats:sub>\n                    ((x\u2212x(t))\/\u03b5)e\n                    <jats:sup>(i\/\u03b5)x\u00b7\u03be(t)<\/jats:sup>\n                    ), where (x(t), \u03be(t)) is the solution of the Hamiltonian system x\u02d9(t)=\u03be(t), \u03be\u02d9(t)=\u2212\u2207V(x(t)) with x(0)=x\u02dc and \u03be(0)=\u03be\u02dc.\n                  <\/jats:p>","DOI":"10.3233\/asy-2009-0959","type":"journal-article","created":{"date-parts":[[2019,11,29]],"date-time":"2019-11-29T19:09:26Z","timestamp":1575054566000},"page":"61-86","source":"Crossref","is-referenced-by-count":3,"title":["Soliton dynamics for CNLS systems with potentials"],"prefix":"10.1177","volume":"66","author":[{"given":"Eugenio","family":"Montefusco","sequence":"first","affiliation":[{"name":"Dipartimento di Matematica, Sapienza Universit\u00e0 di Roma, Piazzale A. Moro 5, I-00185 Roma, Italy. E-mail: montefusco@mat.uniroma1.it"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Benedetta","family":"Pellacci","sequence":"additional","affiliation":[{"name":"Dipartimento di Scienze Applicate, Universit\u00e0 degli Studi di Napoli \u201cParthenope\u201d, CDN Isola C4, I-80143 Napoli, Italy. E-mail: benedetta.pellacci@uniparthenope.it"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Marco","family":"Squassina","sequence":"additional","affiliation":[{"name":"Dipartimento di Informatica, Universit\u00e0 degli Studi di Verona, C\u00e1 Vignal 2, Strada Le Grazie 15, I-37134 Verona, Italy. E-mail: marco.squassina@univr.it"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","published-online":{"date-parts":[[2010,2,1]]},"container-title":["Asymptotic Analysis"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/ASY-2009-0959","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/ASY-2009-0959","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,4,28]],"date-time":"2026-04-28T12:39:00Z","timestamp":1777379940000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/10.3233\/ASY-2009-0959"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2010,2]]},"references-count":0,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2010,2]]}},"alternative-id":["10.3233\/ASY-2009-0959"],"URL":"https:\/\/doi.org\/10.3233\/asy-2009-0959","relation":{},"ISSN":["0921-7134","1875-8576"],"issn-type":[{"value":"0921-7134","type":"print"},{"value":"1875-8576","type":"electronic"}],"subject":[],"published":{"date-parts":[[2010,2]]}}}