title: Discrete kink dynamics in hydrogen-bonded chains: the one-component model.
abstract: We study topological solitary waves (kinks and antikinks) in a nonlinear one-dimensional Klein-Gordon chain with the on-site potential of a double-Morse type. This chain is used to describe the collective proton dynamics in quasi-one-dimensional networks of hydrogen bonds, where the on-site potential plays the role of the proton potential in the hydrogen bond. The system supports a rich variety of stationary kink solutions with different symmetry properties. We study the stability and bifurcation structure of all these stationary kink states. An exactly solvable model with a piecewise "parabola-constant" approximation of the double-Morse potential is suggested and studied analytically. The dependence of the Peierls-Nabarro potential on the system parameters is studied. Discrete traveling-wave solutions of a narrow permanent profile are shown to exist, depending on the anharmonicity of the Morse potential and the cooperativity of the hydrogen bond (the coupling constant of the interaction between nearest-neighbor protons).
authors.affiliation: Section of Mathematical Physics, IMM, Technical University of Denmark, DK-2800 Lyngby, Denmark.
authors.forename: V M
authors.initials: VM
authors.lastname: Karpan
authors.forename: Y
authors.initials: Y
authors.lastname: Zolotaryuk
authors.forename: P L
authors.initials: PL
authors.lastname: Christiansen
authors.forename: A V
authors.initials: AV
authors.lastname: Zolotaryuk