NUMERICAL INVESTIGATION OF A NONLOCAL SINE-GORDON MODEL

A conservative, non-local generalisation of the sine-Gordon equation is postulated and its kink solutions are numerically investigated by integral equation methods. It is found that, as a consequence of non-locality, the usual kink solutions of topological charge 1 attract each other forming dynamically stable multi-twist kinks of odd parity. Further, novel solutions, of topological charge 0, were also found to exist at adequately large non-locality.