title: Soliton interactions between multivalued localized waveguide channels within ferrites.
abstract: In this paper, we investigate both analytically and numerically the localized multivalued waveguide channels-the loop solitons-dynamics within a ferrite slab. In the starting point of the work, we solve in detail the initial value problem of the system while unveiling the existence of multivalued waveguide channels solutions. Paying particular interest to the nonlinear scattering among these excitations, we study extensively the different kinds of interacting features between these localized waves alongside the depiction of their energy densities. As a result, we find that the interactions can be attractive or repulsive depending strongly on the ratio of the amplitudes of the interacting structures. In the wake of these results, we address some physical implications, accordingly.
authors.affiliation: National Advanced School of Engineering, University of Yaounde I, P.O. Box 8390, Yaounde, Cameroon and Centre d'Excellence en Technologies de l'Information et de la Communication (CETIC), University of Yaounde I, P.O. Box 812, Yaounde, Cameroon and Department of Physics, Faculty of Science, University of Yaounde I, P.O. Box 812, Yaounde, Cameroon.
authors.forename: Francis T
authors.initials: FT
authors.lastname: Nguepjouo
authors.affiliation: National Advanced School of Engineering, University of Yaounde I, P.O. Box 8390, Yaounde, Cameroon and Centre d'Excellence en Technologies de l'Information et de la Communication (CETIC), University of Yaounde I, P.O. Box 812, Yaounde, Cameroon and Department of Physics, Faculty of Science, University of Yaounde I, P.O. Box 812, Yaounde, Cameroon and The Abdus Salam International Centre for Theoretical Physics (ICTP), Strada Costiera, 11-I- 34151 Trieste, Italy.
authors.forename: Victor K
authors.initials: VK
authors.lastname: Kuetche
authors.affiliation: Centre d'Excellence en Technologies de l'Information et de la Communication (CETIC), University of Yaounde I, P.O. Box 812, Yaounde, Cameroon and Department of Physics, Faculty of Science, University of Yaounde I, P.O. Box 812, Yaounde, Cameroon and The Abdus Salam International Centre for Theoretical Physics (ICTP), Strada Costiera, 11-I- 34151 Trieste, Italy.
authors.forename: Timoleon C
authors.initials: TC
authors.lastname: Kofane
mesh_terms: D003198:Computer Simulation; D004574:Electromagnetic Fields; D005290:Ferric Compounds / Q000737:chemistry*; D008956:Models, Chemical; D012542:Scattering, Radiation; D020349:Surface Plasmon Resonance / Q000379:methods*
chemical_list: D005290:Ferric Compounds; C001215:ferrite