Particles versus fields in PT-symmetrically deformed integrable systems

摘要

We review some recent results on how PT symmetry, that is a simultaneous time-reversal and parity transformation, can be used to construct new integrable models. Some complex valued multi-particle systems, such as deformations of the Calogero-Moser Sutherland models, are shown to arise naturally from real valued field equations of nonlinear integrable systems. Deformations of complex non-linear integrable field equations, some of them even allowing for compacton solutions, are also investigated. The integrabilty of various systems is established by means of the Painleve test.