  We consider a Froehlich-type Hamiltonian on a hexagonal lattice. Aiming to
describe nanotubes, we choose this 2-dimensional lattice to be periodic and to
have a large extension in one (x) direction and a small extension in the other
(y) direction. We study the existence of solitons in this model using both
analytical and numerical methods. We find exact solutions of our equations and
discuss some of their properties.
