The nonlinear Klein–Gordon equation with a different potential that satisfies the degeneracy properties discussed in this paper possesses solitonic solutions that interact with long-range forces. We generalize the Ginzburg–Landau equation in such a way that the topological defects supported...

We consider elastic grains which repel upon contact according to the Hertz potential V=aδn,n2, where δ is the overlap between adjacent grains and report numerical and analytical studies for the case of a 1-D chain of spherical grains to show that an impulse initiated at an end of a chain of...

We show that soliton interaction with finite-width inhomogeneities can activate a great number of soliton internal modes. We obtain the exact stationary soliton solution in the presence of inhomogeneities and solve exactly the stability problem. We present a Karhunen–Loève analysis of the...

We investigate the influence of long-range interactions on the energy localization in a one-dimensional Morse chain with an impurity by molecular dynamics simulations. The energy distribution around the impurity is studied. It shows that in the high temperature limit there is no difference upon...