Titlebook: Nonlinear Coherent Structures in Physics and Biology; K. H. Spatschek,F. G. Mertens Book 1994 Springer Science+Business Media New York 199

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Bound States in the Gaps of Periodic Latticeshe Floquet exponents of the solutions are real. If κ is made dependent on the wave intensity (index of refraction modified by the Kerr effect in optics), localized solutions appear inside the gaps, which are called Gap solitons.

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Narrow Kinks in Nonlinear Lattices: Application to the Proton Transport in Hydrogen-Bonded Systemsropagating kinks are sufficiently extended objects, and their Peierls-Nabarro (PN) relief is neglegible. On the other hand, although the dynamics of chain particles is still collective, narrow kinks are strongly pinned and their transport along the chain can be achieved only by means of some external (regular and/or stochastic) forces.

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CURT

Analysis of the Stability of Resonances in a Periodically Driven Josephson Junctionh a so-called Josephson junction. Constant voltage to frequency (Shapiro) steps observed at multiple of the flux quantum h/2e (∼2 × 10. V. s) in the voltage-intensity characteristic have been used. to realize a voltage standard with a relative uncertainly of 10..

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Statistical Properties of Lattice Solitonsg [structural] phase transitions, this is, to my knowledge, the first instance where an explicit link between solitons and critical behavior could be established. In this context some as yet unpublished results regarding the asymptotic behavior of correlation functions will be reported.

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Transport Properties in a Two-Coupled Zig-Zag Atomic Chain Model Including Dipole-Dipole Interaction of motion for both protons and heavy ions. In the continuum limit we can find some solutions for the proton displacements, described by certain solitonic forms. We finally discuss the obtained results and some further extensions of the model.

auxiliary

Book 1994hy­ sics and Biology" held at the University of Bayreuth from June 1 -4, 1993. Director of the ARW was K. H. Spatschek, while F.G. Mertens acted as the co-director, host, and organizer of the EWS. The other members of the scientific organizing committee were A.R. Bishop (Los Alamos), J.C. Eilbeck (E

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Nonlinear Coherent Structures in Physics and Biology

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Alexandr S. Kovalev,Konstantin V. Kladko,Oleg V. Usatenko