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Journal of Applied Nonlinear Dynamics 10(2) (2021) 279--286 | DOI:10.5890/JAND.2021.06.007

P.H. Kamdoum-Tamo$^{1,2}$ , A. Kenfack-Jiotsa$^{1,2}$, T.C. Kofane$^{1}$

$^{1}$ Laboratory of Mechanics, Department of Physics, Faculty of Sciences, and African Center of Excellence in I.C.T ( C.E.T.I.C ) University of Yaounde I, P.O. Box 812, Yaounde, Cameroon

$^{2}$ Nonlinear Physics and Complex Systems Group, Department of Physics, The Higher Teachers' Training College, University of Yaounde I, P.O. Box 47 Yaounde, Cameroon

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Abstract

Considering the pulse ansatz, we derive different classes of the modified complex Ginzburg-Landau (MCGL) equation and we use the Painleve truncated approach to construct the solitons solutions . We then present the importance of the saturation term. The solutions obtained by the combined methods are asymmetric- dark and bright solitons. Numerical simulations are performed to show how the wave propagates. The shape of solutions can be well controlled by adjusting the parameters of the system.

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