On multikink states described by the nonlocal sine-Gordon equation

It was found recently that nonlocal non-dissipative generalizations of the sine-Gordon model may describe coherent multikink states. In this paper the problem of classification of such nonlocal states is considered for a model kernel of the integral operator. Rigorous results concerning a number of possible forms of these multikink states are set forth and the coding for such states is suggested. The exact statements are confirmed by results of numerical analysis. (C) 1998 Elsevier Science B.V.