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Browsing by Author "Crepin, Kofane Timoleon"

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    Complex traveling-wave and solitons solutions to the Klein-Gordon-Zakharov equations
    (2020) Baleanu, Dumitru; Abbagari, Souleymanou; Salathiel, Yakada; Inc, Mustafa; Doka, Serge Y.; Crepin, Kofane Timoleon; Baleanu, Dumitru; 56389
    This paper studies complex solutions and solitons solutions to the Klein-Gordon-Zakharov equations (KGZEs). Solitons solutions including bright, dark, W-shape bright, breather also trigonometric function solutions and singular solutions of KGZEs are obtained by three integration algorithm. From the spatio-temporal and 3-D and 2-D contour plot, it is observed that obtained solutions move without any deformation that implies the steady state of solutions. Furthermore, these solutions will be helpful to explain the interactions in hight frequency plasma and solitary wave theory.
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    Exact optical solitons of the perturbed nonlinear Schrodinger-Hirota equation with Kerr law nonlinearity in nonlinear fiber optics
    (2020) Baleanu, Dumitru; Abbagari, Souleymanou; Betchewe, Gambo; İnç, Mustafa; Doka, Serge Y.; Crepin, Kofane Timoleon; Baleanu, Dumitru; Almohsen, Bandar; 56389
    This article studies dark, bright, trigonometric and rational optical soliton solutions to the perturbed nonlinear Schrodinger-Hirota equation (PNLSHE). Hence, we have examined two cases: first, restrictions have been done to the third-order (TOD) (gamma) as constraint relation, and the coupling coefficients (sigma) is obtained as well as the velocity of the soliton by adopting the traveling wave hypothesis. Second, the TOD and the coupling coefficients are non-zero value, sending back to the PNLSHE, which has been studied in refs. [4,10,16] recently. By employing two relevant integration technics such as the auxiliary equation and the modified auxiliary equation method, miscellaneous optical solitary wave is obtianed, which is in agreement with the outcomes collected by the previous studies [4,16]. These results help in obtaining nonlinear optical fibers in the future.