Atangana, J. and Onana Essama, B.G. and Biya-Motto, F. and Mokhtari, B. and Eddeqaqi, N.C. and Kofane, T.C. (2015) Kuznetsov-Ma waves train generation in a left-handed material. Journal of Modern Optics, 62 (5). pp. 392-402.

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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. © 2014 Taylor & Francis.

Item Type: Article
Uncontrolled Keywords: Circular waveguides; Dispersions; Electromagnetic waves; Metamaterials; Nonlinear equations, Benjamin-Feir instabilities; collective coordinates; Cubic-quintic nonlinearity; Kuznetsov; Left handed materials; Modulational instability; Rogue waves; Second-order dispersion, Dispersion (waves)
Subjects: Physics and Astronomy
Divisions: SCIENTIFIC PRODUCTION > Physics and Astronomy
Depositing User: Administrateur Eprints Administrateur Eprints
Last Modified: 31 Jan 2020 15:49

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