PT-symmetry in quasi-integrable models

Abstract

We reinforce the observations of almost stable scattering in nonintegrable models and show that $\mathcal{P}\mathcal{T}$-symmetry can be used as a guiding principle to select relevant systems also when it comes to integrability properties. We show that the presence of unbroken $\mathcal{P}\mathcal{T}$-symmetry in classical field theories produces quasi-integrable excitations with asymptotically conserved charges.

References in corpus (9)

• PT-symmetric Deformations of the Korteweg-de Vries Equation
• Complexified Dynamical Systems
• Discrete solitons and vortices on two-dimensional lattices of $\mathcal{P}\mathcal{T}$-symmetric couplers
• The concept of quasi-integrability: a concrete example
• Classical behavior of deformed sine-Gordon models
• Interaction of sine-Gordon kinks and breathers with a $\mathcal{P}\mathcal{T}$-symmetric defect
• From real fields to complex Calogero particles
• PT-symmetric extensions of the supersymmetric Korteweg-de Vries equation
• PT-symmetric sine-Gordon breathers

Cited by in corpus (3)

• Complex solitons with real energies
• Time-delay and reality conditions for complex solitons
• On Quasi-integrable Deformation Scheme of The KdV System