Particles versus fields in $mathcal{PT}$-symmetrically deformed integrable systems

Pramana

Andreas Fring1¹ 

[1] Centre for Mathematical Science, City University London, Northampton Square, London EC1V 0HB, UK$$

关键词: Korteweg–de Vries equation;    Calogero–Moser–Sutherland models;    Painlevé property;    $mathcal{PT}$ symmetry;    compactons.;   

DOI  :  

学科分类：物理（综合）

来源: Indian Academy of Sciences

【 摘 要 】

We review some recent results on how $mathcal{PT}$ 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 non-linear 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.

【 授权许可】

Unknown