{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,5]],"date-time":"2022-04-05T18:23:11Z","timestamp":1649182991705},"reference-count":5,"publisher":"World Scientific Pub Co Pte Lt","issue":"08","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2015,7]]},"abstract":"<jats:p> In this paper, we consider a model which is a generalization of the nonlinear Schr\u00f6dinger equation where the dispersive term was substituted by a nonlocal integral term with given kernel. The study on this model derives a planar dynamical system with two singular straight lines. On the basis of the investigation of the dynamical behavior and bifurcations of solutions of the planar dynamical system, we obtain all possible explicit exact parametric representations of solutions (including kink wave solutions, unbounded wave solutions, compactons, etc.) under different parameter conditions. The existence of bounded solutions of the planar dynamical system implies that there exist infinitely many breather solutions of this generalized nonlinear Schr\u00f6dinger system. <\/jats:p>","DOI":"10.1142\/s0218127415501059","type":"journal-article","created":{"date-parts":[[2015,8,4]],"date-time":"2015-08-04T06:19:50Z","timestamp":1438669190000},"page":"1550105","source":"Crossref","is-referenced-by-count":3,"title":["Breather Solutions of a Generalized Nonlinear Schr\u00f6dinger System"],"prefix":"10.1142","volume":"25","author":[{"given":"Jibin","family":"Li","sequence":"first","affiliation":[{"name":"Department of Mathematics, Zhejiang Normal University, Jinhua, Zhejiang 321004, P. R. China"},{"name":"Department of Mathematics, Kunming University of Science and Technology, Kunming, Yunnan 650093, P. R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Fengjuan","family":"Chen","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Zhejiang Normal University, Jinhua, Zhejiang 321004, P. R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2015,8,3]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1088\/0951-7715\/13\/5\/313"},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127407019858"},{"key":"rf3","volume-title":"Singular Nonlinear Traveling Wave Equations: Bifurcations and Exact Solutions","author":"Li J.","year":"2013"},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.57.3510"},{"key":"rf5","first-page":"1237","volume":"4","author":"Usero D.","year":"2011","journal-title":"Discr. Contin. Dyn. Syst. Ser. S"}],"container-title":["International Journal of Bifurcation and Chaos"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218127415501059","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,7]],"date-time":"2019-08-07T03:25:06Z","timestamp":1565148306000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218127415501059"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,7]]},"references-count":5,"journal-issue":{"issue":"08","published-online":{"date-parts":[[2015,8,3]]},"published-print":{"date-parts":[[2015,7]]}},"alternative-id":["10.1142\/S0218127415501059"],"URL":"https:\/\/doi.org\/10.1142\/s0218127415501059","relation":{},"ISSN":["0218-1274","1793-6551"],"issn-type":[{"value":"0218-1274","type":"print"},{"value":"1793-6551","type":"electronic"}],"subject":[],"published":{"date-parts":[[2015,7]]}}}