Moduli spaces for PT-regularized solitons

We construct and analyse the moduli space (collective coordinates) for a classical field theory in 1 + dimensions that possesses complex stable multi-soliton solutions with real energies when PT-regularized. For integrable Bullough-Dodd model we show, by comparing exact solutions, one-dimensional captures well main feature of centre mass motion one two-soliton solutions. demonstrate even time-delay spatial displacements occurring one-soliton constituents scattering process can be extracted from analysis. propose two dimensional to describe newly found triple bouncing amongst dark double peakon scattering.