Kuznetsov–Ma waves train generation in a left-handed material |
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| Authors: | Jacques Atangana Frederick Biya-Motto Bouchra Mokhtari Noureddine Cherkaoui Eddeqaqi Timoléon Crépin Kofane |
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| Affiliation: | 1. Department of Physics, Higher Teacher Training College Yaounde, University of Yaounde I, Yaounde, Cameroon.;2. Faculty of Science, Department of Physics, Laboratory of Electronics, University of Yaounde I, Yaounde, Cameroon.;3. Centre d’Excellence Africain des Technologies de l’Information et de la Communication (CETIC) Université de Yaoundé I, Cameroon.;4. Faculty of Science, Department of Physics, Moulay Ismail University, Meknes, Morocco.;5. Faculty of Science, Department of Physics, Laboratory of Mechanics, University of Yaounde I, Yaounde, Cameroon. |
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| Abstract: | We analyze the behavior of an electromagnetic wave which propagates in a left-handed material. Second-order dispersion and cubic–quintic nonlinearities are considered. This behavior of an electromagnetic wave is modeled by a nonlinear Schrödinger equation which is solved by collective coordinates theory in order to characterize the light pulse intensity profile. More so, a specific frequency range has been outlined where electromagnetic wave behavior will be investigated. The perfect combination of second-order dispersion and cubic nonlinearity leads to a robust soliton. When the quintic nonlinearity comes into play, it provokes strong and long internal perturbations which lead to Benjamin–Feir instability. This phenomenon, also called modulational instability, induces appearance of a Kuznetsov–Ma waves train. We numerically verify the validity of Kuznetsov–Ma theory by presenting physical conditions which lead to Kuznetsov–Ma waves train generation. Thereafter, some properties of such waves train are also verified. |
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| Keywords: | negative left-handed materials Kuznetsov–Ma waves train generation rogue waves collective coordinates |
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