Particles versus fields in PT-symmetrically deformed integrable systems

Fring, A. (2009). Particles versus fields in PT-symmetrically deformed integrable systems. Pramana, 73(2), pp. 363-373. doi: 10.1007/s12043-009-0128-2

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Abstract

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 Painlevé test.

Item Type: Article
Uncontrolled Keywords: Korteweg-de Vries equation, Calogero-Moser-Sutherland models, Painleve property, PT symmetry, compactons, NON-HERMITIAN HAMILTONIANS, DE-VRIES EQUATION, BODY PROBLEM, SOLITONS, FLUIDS, WAVES, CHAIN, MODEL
Subjects: Q Science > QC Physics
Divisions: School of Engineering & Mathematical Sciences > Department of Mathematical Science
URI: http://openaccess.city.ac.uk/id/eprint/693

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