The formation of coherent structures in strongly interacting q-boson systems

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Abstract
The authors combine two developments in the areas of mathematical physics and many body systems. The first is the introduction of systems of q-bosons in connection with the study of quantum groups. The second is the formulation of nonlinear dynamics for interacting many-particle systems. They demonstrate the role of quantum groups via the introduction of interacting q-bosons. A number of interesting properties emerge which involve dissipative nonlinear dynamics, bifurcation effects and transitions between localized and extended states.