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Modulational instability and spatial structures of the Ablowitz-Ladik equation |
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| Authors: | Alidou Mohamadou Ferdinand Fopa |
| Institution: | a Laboratoire de Mécanique, Département de Physique, Faculté des Sciences, Université de Yaoundé I, B.P. 812 Yaoundé, Cameroon b Condensed Matter Laboratory, Department of Physics, Faculty of Science, University of Douala, P.O. Box 24157, Douala, Cameroon c The Abdus Salam International Centre for Theoretical Physics, P.O. Box 586 Strada Costiera, 11, I-34014 Trieste, Italy |
| Abstract: | Spatial structures as a result of a modulational instability are obtained in the integrable discrete nonlinear Schrödinger equation (Ablowitz-Ladik equation). Discrete slow space variables are used in a general setting and the related finite differences are constructed. Analyzing the ensuing equation, we derive the modulational instability criterion from the discrete multiple scales approach. Numerical simulations in agreement with analytical studies lead to the disintegrations of the initial modulated waves into a train of pulses. |
| Keywords: | 02 60 Cb 05 45 Yv 05 45 &minus a 42 65 Tg |
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