Soliton parameters and chaotic sets

In this work we apply a nonperturbative approach to analyze soliton bifurcation in the presence of surface tension, which is a reformulation of standard methods based on the reversibility properties of the system. The hypothesis is nonrestrictive and the results can be extended to a much wider variety of systems. The usual idea of tracking intersections of unstable manifolds with some invariant set is again used, but reversibility plays an important role establishing in a geometrical point of view some kind of symmetry which, in a classical way, is unknown or nonexistent. Using a computer program we determine soliton solutions and also their bifurcations in the space of parameters giving a picture of the chaotic structural distribution to phase and amplitude shift phenomena.