Higher Order Solitons in an Electrical Lattice(Condensed matter: structure and mechanical and thermal properties)

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概要

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• Dynamics of modulated waves in a nonlinear electrical bi-inductance line are theoretically examined by the means of a perturbation method. It has been recently established that in such lines, modulations of weakly nonlinear dispersive waves are described by the complex Ginzburg-Landau equation (CGLE) for wavenumbers k larger than the critical values k_c. Presently, we assume that in the vicinity of k_c, the CGLE is invalid and the associated instability criterion is useless. Considering a semi discrete approximation using an appropriate decoupling ansatz for the voltage of the two different cells, we demonstrated that in such regime, wave evolutions are governed by a modified form of the CGLE that involves higher-orders nonlinearities. The associated generalized modulation instability criterion is obtained and corresponding higher order soliton solutions are constructed.

• 2007-07-15

著者

• Pelap Francois

  Laboratory Of Mechanics And Modelling Of Physical Systems Department Of Physics Faculty Of Sciences

• Faye Mansour

  Departement De Physique Faculte Des Sciences Et Techniques Universite Cheikh Anta Diop De Dakar

• PELAP PELAP

  Laboratory of Mechanics and Modelling of Physical Systems, Department of Physics, Faculty of Science

• Pelap Pelap

  Laboratory Of Mechanics And Modelling Of Physical Systems Department Of Physics Faculty Of Sciences University Of Dschang

関連論文

• Higher Order Solitons in an Electrical Lattice
• Higher Order Solitons in an Electrical Lattice(Condensed matter: structure and mechanical and thermal properties)

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