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J. Bifurcation Chaos"],"published-print":{"date-parts":[[2025,7]]},"abstract":"<jats:p> For three cubic\u2013quartic optical soliton models of nonlinear refractive index together with nonlinear chromatic dispersion, the corresponding differential systems of the amplitude component are planar dynamical systems with a singular straight line. In this paper, by using the techniques from dynamical systems developed by [ Li &amp; Chen ,\u00a0 2007 ] to analyze the parameter conditions of systems and construct the corresponding phase portraits, the dynamical behavior of the amplitude component can be analyzed. Under different parameter conditions, exact explicit envelope solitary wave solutions, periodic wave solutions, periodic peakons as well as the peakon solution, can all be found. <\/jats:p>","DOI":"10.1142\/s0218127425501147","type":"journal-article","created":{"date-parts":[[2025,5,30]],"date-time":"2025-05-30T14:45:02Z","timestamp":1748616302000},"source":"Crossref","is-referenced-by-count":1,"title":["Bifurcations and Exact Stationary Optical Solitons for the Cubic\u2013Quartic Form of Nonlinear Refractive Index Together with Nonlinear Chromatic Dispersion"],"prefix":"10.1142","volume":"35","author":[{"given":"Zhilong","family":"Shi","sequence":"first","affiliation":[{"name":"Faculty of Architectural Engineering, Kunming University of Science and Technology, Kunming, Yunnan 650500, P. R. China"},{"name":"Faculty of Science, Kunming University of Science and Technology, Kunming, Yunnan 650500, P. R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Linru","family":"Nie","sequence":"additional","affiliation":[{"name":"Faculty of Science, Kunming University of Science and Technology, Kunming, Yunnan 650500, P. R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Guanrong","family":"Chen","sequence":"additional","affiliation":[{"name":"Department of Electrical Engineering, City University of Hong Kong, Kowloon, Hong Kong SAR, P. R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4839-5956","authenticated-orcid":false,"given":"Jibin","family":"Li","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Zhejiang Normal University, Jinhua, Zhejiang 321004, P. R. 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