{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T06:43:51Z","timestamp":1740120231596,"version":"3.37.3"},"reference-count":13,"publisher":"World Scientific Pub Co Pte Ltd","issue":"12","funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["11571318","11162020"],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2017,11]]},"abstract":" Raman soliton model in nanoscale optical waveguides, with metamaterials, having polynomial law nonlinearity is investigated by the method of dynamical systems. The functions [Formula: see text] in the solutions [Formula: see text] [Formula: see text] satisfy a singular planar dynamical system having two singular straight lines. By using the bifurcation theory method of dynamical systems to the equations of [Formula: see text], under 23 different parameter conditions, bifurcations of phase portraits and exact periodic solutions, homoclinic and heteroclinic solutions, periodic peakons and peakons as well as compacton solutions for this planar dynamical system are obtained. 92\u00a0exact explicit solutions of system (6) are derived. <\/jats:p>","DOI":"10.1142\/s0218127417501887","type":"journal-article","created":{"date-parts":[[2017,12,18]],"date-time":"2017-12-18T03:20:32Z","timestamp":1513567232000},"page":"1750188","source":"Crossref","is-referenced-by-count":3,"title":["Exact Solutions and Dynamics of the Raman Soliton Model in Nanoscale Optical Waveguides, with Metamaterials, Having Polynomial Law Nonlinearity"],"prefix":"10.1142","volume":"27","author":[{"given":"Yan","family":"Zhou","sequence":"first","affiliation":[{"name":"Wu Wen-Tsun Key Laboratory, School of Mathematical Sciences, University of Science and Technology of China, Hefei, Anhui 230026, P. R. China"},{"name":"School of Mathematical Sciences, Huaqiao University, Quanzhou, Fujian 362021, P. R. China"}]},{"given":"Jibin","family":"Li","sequence":"additional","affiliation":[{"name":"School of Mathematical Sciences, Huaqiao University, Quanzhou, Fujian 362021, P. R. China"},{"name":"Department of Mathematics, Zhejiang Normal University, Jinhua, Zhejiang 321004, P. R. China"}]}],"member":"219","published-online":{"date-parts":[[2017,12,18]]},"reference":[{"key":"S0218127417501887BIB001","doi-asserted-by":"publisher","DOI":"10.1080\/09500340.2014.944357"},{"key":"S0218127417501887BIB002","doi-asserted-by":"publisher","DOI":"10.1016\/j.ijleo.2013.12.061"},{"key":"S0218127417501887BIB003","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-65138-0"},{"key":"S0218127417501887BIB004","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127405014416"},{"key":"S0218127417501887BIB005","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127407019858"},{"key":"S0218127417501887BIB006","first-page":"1955","volume":"19","author":"Li J.","year":"2009","journal-title":"Int. J. Bifurcation and Chaos"},{"volume-title":"Singular Nonlinear Traveling Wave Equations: Bifurcations and Exact Solutions","year":"2013","author":"Li J.","key":"S0218127417501887BIB007"},{"key":"S0218127417501887BIB008","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127416502072"},{"key":"S0218127417501887BIB009","doi-asserted-by":"publisher","DOI":"10.1007\/s11071-016-3263-6"},{"key":"S0218127417501887BIB010","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.84.033815"},{"key":"S0218127417501887BIB011","doi-asserted-by":"publisher","DOI":"10.1080\/09500340.2016.1193240"},{"key":"S0218127417501887BIB012","doi-asserted-by":"publisher","DOI":"10.1007\/s11071-015-1948-x"},{"key":"S0218127417501887BIB013","doi-asserted-by":"publisher","DOI":"10.1007\/s11071-016-2911-1"}],"container-title":["International Journal of Bifurcation and Chaos"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218127417501887","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,9,23]],"date-time":"2019-09-23T15:36:57Z","timestamp":1569253017000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218127417501887"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,11]]},"references-count":13,"journal-issue":{"issue":"12","published-online":{"date-parts":[[2017,12,18]]},"published-print":{"date-parts":[[2017,11]]}},"alternative-id":["10.1142\/S0218127417501887"],"URL":"https:\/\/doi.org\/10.1142\/s0218127417501887","relation":{},"ISSN":["0218-1274","1793-6551"],"issn-type":[{"type":"print","value":"0218-1274"},{"type":"electronic","value":"1793-6551"}],"subject":[],"published":{"date-parts":[[2017,11]]}}}