Bound states of lattice solitons and their bifurcations

Families of travelling wave solutions have been studied in a one-dimensional kink-bearing model with a nonlinear intersite coupling. The value of the soliton velocity depends on the parameters of the system such as an anharmonicity parameter and the barrier height of the on-site potential, to which the chain is subjected. These dependencies have been studied numerically using a pseudo-spectral method. The solution space of the bound state lattice solitons has an interesting bifurcation structure.