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Rogue waves in Lugiato-Lefever equation with variable coefficients |
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| Authors: | Guy Richard Kol Sifeu Takougang Kingni Paul Woafo |
| Affiliation: | 1. School of Geology and Mining Engineering of University of Ngaoundéré, P.O. Box 454, Ngaoundéré, Cameroon 2. Laboratory of Modelling and Simulation in Engineering, Biomimetics and Prototypes, Department of Physics, Faculty of Science, University of Yaounde I, P.O. Box 812, Yaoundé, Cameroon 3. Applied Physics Research Group (APHY), Vrije Universiteit Brussel, Pleinlaan 2, 1050, Brussels, Belgium |
| Abstract: | In this paper, we theoretically investigate the generation of optical rogue waves from a Lugiato-Lefever equation with variable coefficients by using the nonlinear Schrödinger equation-based constructive method. Exact explicit rogue-wave solutions of the Lugiato-Lefever equation with constant dispersion, detuning and dissipation are derived and presented. The bright rogue wave, intermediate rogue wave and the dark rogue wave are obtained by changing the value of one parameter in the exact explicit solutions corresponding to the external pump power of a continuous-wave laser. |
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