Original numerical freak solutions of cubic-quintic Ginzburg-Landau equation through variational method in a double negative material

Bedel Giscard Onana Essama, Jacquie Therese Ngo Bisse, Salome Ndjakomo Essiane and Jacques Atangana

Journal of Electromagnetic Waves and Applications, 2025, vol. 39, issue 12, 1453-1481

Abstract: We report a Periodical and amazing mixed breathers least studied in the literature. Therefore, variational theory including the Type I Ansatz function with seven factors, is implemented to examine the Cubic-Quintic Ginzburg-Landau equation (CQGLE) in double negative material (metamaterial). Additional informations are produced from Type I Ansatz function compared to conventional Gaussian Ansatz function with six factors often used. Some of the breakthroughs found here are related to various aspects of Sasa-Satsuma solutions, Kuznetsov-Ma solutions, and other unusual freak events. Additionally, some specific internal disorders that cause odd events are highlighted. More so, those innovations can enrich freak waves’ literature and improve the comprehension of odd event mechanism of birth in metamaterial.

Date: 2025
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DOI: 10.1080/09205071.2025.2517200

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