title: Rogue wave train generation in a metamaterial induced by cubic-quintic nonlinearities and second-order dispersion.
abstract: We investigate the behavior of the electromagnetic wave that propagates in a metamaterial for negative index regime. Second-order dispersion and cubic-quintic nonlinearities are taken into account. The behavior obtained for negative index regime is compared to that observed for absorption regime. The collective coordinates technique is used to characterize the light pulse intensity profile at some frequency ranges. Five frequency ranges have been pointed out. The perfect combination of second-order dispersion and cubic nonlinearity leads to a robust soliton at each frequency range for negative index regime. The soliton peak power progressively decreases for absorption regime. Further, this peak power also decreases with frequency. We show that absorption regime can induce rogue wave trains generation at a specific frequency range. However, this rogue wave trains generation is maintained when the quintic nonlinearity comes into play for negative index regime and amplified for absorption regime at a specific frequency range. It clearly appears that rogue wave behavior strongly depends on the frequency and the regime considered. Furthermore, the stability conditions of the electromagnetic wave have also been discussed at frequency ranges considered for both negative index and absorption regimes.
authors.affiliation: Laboratory of Electronics, Department of Physics, Faculty of Science, University of Yaounde I, P. O. Box 812, Yaounde, Cameroon and Department of Physics, Higher Teacher Training College Yaounde, University of Yaounde I, P. O. Box 47, Yaounde, Cameroon and Centre d'Excellence Africain des Technologies de l'Information et de la Communication (CETIC) Université de Yaoundé I, Cameroon.
authors.forename: Bedel Giscard Onana
authors.initials: BG
authors.lastname: Essama
authors.affiliation: Laboratory of Electronics, Department of Physics, Faculty of Science, University of Yaounde I, P. O. Box 812, Yaounde, Cameroon and Department of Physics, Higher Teacher Training College Yaounde, University of Yaounde I, P. O. Box 47, Yaounde, Cameroon and Centre d'Excellence Africain des Technologies de l'Information et de la Communication (CETIC) Université de Yaoundé I, Cameroon.
authors.forename: Jacques
authors.initials: J
authors.lastname: Atangana
authors.affiliation: Laboratory of Electronics, Department of Physics, Faculty of Science, University of Yaounde I, P. O. Box 812, Yaounde, Cameroon.
authors.forename: Biya Motto
authors.initials: BM
authors.lastname: Frederick
authors.affiliation: Department of Physics, Faculty of Science, Moulay Ismail University, P. O. Box 1120, Meknes, Morocco and Centre d'Excellence Africain des Technologies de l'Information et de la Communication (CETIC) Université de Yaoundé I, Cameroon.
authors.forename: Bouchra
authors.initials: B
authors.lastname: Mokhtari
authors.affiliation: Department of Physics, Faculty of Science, Moulay Ismail University, P. O. Box 1120, Meknes, Morocco and Centre d'Excellence Africain des Technologies de l'Information et de la Communication (CETIC) Université de Yaoundé I, Cameroon.
authors.forename: Noureddine Cherkaoui
authors.initials: NC
authors.lastname: Eddeqaqi
authors.affiliation: Laboratory of Mechanics, Department of Physics, Faculty of Science, University of Yaounde I, P. O. Box 812, Yaounde, Cameroon and Centre d'Excellence Africain des Technologies de l'Information et de la Communication (CETIC) Université de Yaoundé I, Cameroon.
authors.forename: Timoleon Crepin
authors.initials: TC
authors.lastname: Kofane
mesh_terms: D055590:Electromagnetic Phenomena; D017711:Nonlinear Dynamics; D009792:Oceans and Seas