A. Ankiewicz, SIMPLIFIED DESCRIPTION OF SOLITON PERTURBATION AND INTERACTION USING AVERAGED COMPLEX POTENTIALS, Journal of nonlinear optical physics and materials, 4(4), 1995, pp. 857-870
We present a new physical and mathematical approach, which involves an
extension of the effective potential idea, for determining the effect
of various perturbations on a soliton. The method explains the result
s in a more simple way than has been done previously. We also analyze
the interaction of two solitons as a function of their separation usin
g this equivalent particle picture with an effective potential caused
by the interaction.