Titlebook: Nonlinear Coherent Structures; Proceedings of the 6 M. Barthes,J. Léon Conference proceedings 1990 Springer-Verlag Berlin Heidelberg 1990 e

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Gap solitons in nonlinear electrical transmission lines,dic spatial variation.ln the continuum limit and weak amplitude limit we reduce the characteristic equations of this system to NLS equation. We find analytical solutions for the voltage envelope, which propagate with frequency in the gap induced by the capacitance periodicity. Our numerical experime

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ATP861

Fluxon trapping by inhomogeneities in long Josephson junctions,show that the conditions of fluxon trapping by an array of N point-like inhomogeneities are determined by the relative location of the separatrices of N unstable fixed points in the U,X phase plane. In the particular case of experimental interest in which the inhomogeneities are “microresistors” , w

inspired

Existence and stability of driven and damped phase-locked NLS-solitons and SG-breathers,rt, the nonlinear Schrödinger equation is considered also as the limiting case corresponding to weak driving and damping in the sine-Gordon equation, with driving frequency close to one. It is shown that in this limit a phase-locked breather with . = 1/1 exists and undergoes period-doubling bifurcat

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0075-8450 contains contributions on the signature and spectrum of solitons, nonlinear excitations in prebiological systems, experimental and theoretical studies on chains of hydrogen-bonded molecules, nonlinear phenomena in solid-state physics, including charge density waves, nonlinear wave propagation, defe

Nmda-Receptor

Solitons on a diatomic chain with alternating interactions,that one of the interactions is linear (this is an excellent approximation in the case of a generalized Yomosa model for the energy transport in cc-helical proteins). Moreover we discuss the finite lifetime of the solitons due to the emission of optical phonons.

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Defects in non-linear waves in convection, and play a major role in the mechanisms of progressive disorganization of the coherent structures. Most of our experimental findings concerning the nucleation and the stability of the defects are numerically simulated by the appropriate Landau-Ginzburg-Newell model.

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Gap solitons in nonlinear electrical transmission lines,nalytical solutions for the voltage envelope, which propagate with frequency in the gap induced by the capacitance periodicity. Our numerical experiments show that, when the input voltage increases, the transmissivity in the gap increases and the voltage envelope approaches the stationnary shape predicted by theory.