NUMERICAL INVESTIGATION OF A NONLOCAL SINE-GORDON MODEL

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