Inelasticity of soliton collisions in systems of coupled NLS equations

Abstract

Movatived by a problem of the dynamical elasticity of crystals with microstructure, a conservative numerical scheme is employed to study the very long time evolution and interaction of soliton-like solutions in systems of Coupled Nonlinear Schrödinger Equations. Head-on collision and over-taking receive special attention. The results obtained demonstrate the inelasticity (change of polarization) of the interaction even for initially circularly polarized components. Thus it may be said that the interactions in such systems break the symmetry of the input.