{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T01:34:48Z","timestamp":1760146488754,"version":"build-2065373602"},"reference-count":30,"publisher":"MDPI AG","issue":"11","license":[{"start":{"date-parts":[[2024,11,4]],"date-time":"2024-11-04T00:00:00Z","timestamp":1730678400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100007414","name":"Qassim University","doi-asserted-by":"publisher","award":["QU-APC-2024-9\/1"],"award-info":[{"award-number":["QU-APC-2024-9\/1"]}],"id":[{"id":"10.13039\/501100007414","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Axioms"],"abstract":"<jats:p>This article implements the Hirota bilinear (HB) transformation technique to the Landau\u2013Ginzburg\u2013Higgs (LGH) model to explore the nonlinear evolution behavior of the equation, which describes drift cyclotron waves in superconductivity. Utilizing the Cole\u2013Hopf transform, the HB equation is derived, and symbolic manipulation combined with various auxiliary functions (AFs) are employed to uncover a diverse set of analytical solutions. The study reveals novel results, including multi-wave complexitons, breather waves, rogue waves, periodic lump solutions, and their interaction phenomena. Additionally, a range of traveling wave solutions, such as dark, bright, periodic waves, and kink soliton solutions, are developed using an efficient expansion technique. The nonlinear dynamics of these solutions are illustrated through 3D and contour maps, accompanied by detailed explanations of their physical characteristics.<\/jats:p>","DOI":"10.3390\/axioms13110763","type":"journal-article","created":{"date-parts":[[2024,11,4]],"date-time":"2024-11-04T10:57:20Z","timestamp":1730717840000},"page":"763","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["Superposition and Interaction Dynamics of Complexitons, Breathers, and Rogue Waves in a Landau\u2013Ginzburg\u2013Higgs Model for Drift Cyclotron Waves in Superconductors"],"prefix":"10.3390","volume":"13","author":[{"given":"Hicham","family":"Saber","sequence":"first","affiliation":[{"name":"Department of Mathematics, College of Science, University of Ha\u2019il, Ha\u2019il 55473, Saudi Arabia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Muntasir","family":"Suhail","sequence":"additional","affiliation":[{"name":"Department of Mathematics, College of Science, Qassim University, Buraydah 52571, Saudi Arabia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Amer","family":"Alsulami","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Turabah University College, Taif University, Taif 21944, Saudi Arabia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5731-3532","authenticated-orcid":false,"given":"Khaled","family":"Aldwoah","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Faculty of Science, Islamic University of Madinah, Madinah 42351, Saudi Arabia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-6732-2694","authenticated-orcid":false,"given":"Alaa","family":"Mustafa","sequence":"additional","affiliation":[{"name":"Department of Physics, Faculty of Science, Northern Border University, Arar 73213, Saudi Arabia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Mohammed","family":"Hassan","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Faculty of Science, University of Tabuk, P.O. Box 741, Tabuk 71491, Saudi Arabia"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2024,11,4]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"100477","DOI":"10.1016\/j.padiff.2022.100477","article-title":"Finite line method for solving high-order partial differential equations in science and engineering","volume":"7","author":"Gao","year":"2023","journal-title":"Partial. Differ. Equ. Appl. Math."},{"key":"ref_2","first-page":"1037","article-title":"Using the reduced differential transform method to solve nonlinear PDEs arises in biology and physics","volume":"23","author":"Rawashdeh","year":"2013","journal-title":"World Appl. Sci. 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