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Motion of two-component soliton in a discrete inhomogeneous hydrogen-bonded chain

The nonlinear dynamics of a one-dimensional two-sublattice model for a discrete inhomogeneous hydrogen-bonded chain is investigated in the low-velocity regime. We use the reduced Lagrangian approach to derive an effective equation of motion for the centre of mass of a single "distorted" two-component soliton. The system dynamics on the phase plane is analysed for special cases making use of the energy-conservation principle. The two-component soliton interaction (reflection and capture processes) with impurities depends on the lattice discreteness. Numerical estimations of threshold velocities and oscillatory frequencies have been performed for ice.