Transverse stability of solitary waves propagating in coupled nonlinear dispersive transmission lines.
In the semidiscrete limit and in suitably scaled coordinates, the voltage of a system of coupled nonlinear dispersive transmission lines is described by a nonlinear Schrödinger equation. This equation is used to study the transverse stability of solitary waves of the system. Exact results for the growth rate and the corresponding perturbation function of linear transverse perturbations are obtained in terms of the network's and soliton's parameters.
Department of Mathematics and Computer Science, Faculty of Science, University of Dschang, P.O. Box 4509, Douala, Republic of Cameroon. ekengne6@yahoo.fr
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Kengne
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Bozic
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Viana
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Vaillancourt