{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,8,25]],"date-time":"2025-08-25T06:10:06Z","timestamp":1756102206455,"version":"3.44.0"},"reference-count":10,"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":["11871231","12071162","11701191"],"award-info":[{"award-number":["11871231","12071162","11701191"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Hebei Province Foundation of Returnees","award":["C20230343"],"award-info":[{"award-number":["C20230343"]}]},{"name":"Science Foundation of Hebei Normal University","award":["L2024ZD10"],"award-info":[{"award-number":["L2024ZD10"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2025,9,30]]},"abstract":"<jats:p> In this paper, we consider dynamics and exact solutions for the generalized Radhakrishnan\u2013Kundu\u2013Lakshmanan equation with four powers of nonlinearity. By investigating the solutions with the form [Formula: see text], under given parameter conditions, the function [Formula: see text] satisfies a planar dynamical system depending on six parameters. For the parameter [Formula: see text], bifurcations of phase portraits of the dynamical system are studied. When [Formula: see text], corresponding to all bounded solutions [Formula: see text] of dynamical system, 20 exact explicit parametric representations are derived. When [Formula: see text], for the level curves having zero energy, exact explicit parametric representations with the form [Formula: see text] are given. <\/jats:p>","DOI":"10.1142\/s0218127425501470","type":"journal-article","created":{"date-parts":[[2025,7,8]],"date-time":"2025-07-08T06:41:05Z","timestamp":1751956865000},"source":"Crossref","is-referenced-by-count":0,"title":["Bifurcations and Exact Solutions of the Generalized Radhakrishnan\u2013Kundu\u2013Lakshmanan Equation with Four Powers of Nonlinearity"],"prefix":"10.1142","volume":"35","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-1627-0035","authenticated-orcid":false,"given":"Junmin","family":"Yang","sequence":"first","affiliation":[{"name":"School of Mathematical Sciences, Hebei Normal University, Shijiazhuang, Hebei 050024, P.\u00a0R.\u00a0China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4839-5956","authenticated-orcid":false,"given":"Jibin","family":"Li","sequence":"additional","affiliation":[{"name":"School of Mathematical Sciences, Zhejiang Normal University, Jinhua, Zhejing 321004, P.\u00a0R.\u00a0China"},{"name":"School of Mathematical Science, Huaqiao University, Quanzhou, Fujian 362021, P.\u00a0R.\u00a0China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2025,7,8]]},"reference":[{"key":"S0218127425501470BIB001","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-65138-0"},{"key":"S0218127425501470BIB002","doi-asserted-by":"publisher","DOI":"10.1016\/j.physleta.2007.04.088"},{"key":"S0218127425501470BIB003","doi-asserted-by":"publisher","DOI":"10.1016\/j.ijleo.2021.168160"},{"key":"S0218127425501470BIB004","doi-asserted-by":"publisher","DOI":"10.1016\/j.physleta.2022.128327"},{"key":"S0218127425501470BIB005","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127407019858"},{"key":"S0218127425501470BIB006","volume-title":"Singular Nonlinear Traveling Wave Equations: Bifurcations and Exact Solutions","author":"Li J.","year":"2013"},{"key":"S0218127425501470BIB007","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127416502072"},{"key":"S0218127425501470BIB008","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.60.3314"},{"key":"S0218127425501470BIB009","doi-asserted-by":"publisher","DOI":"10.1142\/S0217984910024109"},{"key":"S0218127425501470BIB010","doi-asserted-by":"publisher","DOI":"10.1007\/s11082-018-1641-7"}],"container-title":["International Journal of Bifurcation and Chaos"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218127425501470","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,8,25]],"date-time":"2025-08-25T05:40:52Z","timestamp":1756100452000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/10.1142\/S0218127425501470"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,7,8]]},"references-count":10,"journal-issue":{"issue":"12","published-print":{"date-parts":[[2025,9,30]]}},"alternative-id":["10.1142\/S0218127425501470"],"URL":"https:\/\/doi.org\/10.1142\/s0218127425501470","relation":{},"ISSN":["0218-1274","1793-6551"],"issn-type":[{"value":"0218-1274","type":"print"},{"value":"1793-6551","type":"electronic"}],"subject":[],"published":{"date-parts":[[2025,7,8]]},"article-number":"2550147"}}