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Stability of non-linear integrable accelerator
Stability of non-linear integrable accelerator Accelerator Physics
2012/5/29
The stability of non-linear Integrable Optics Test Accelerator (IOTA) model was tested. The area of the stable region in transverse coordinates and the maximum attainable tune spread were found as a f...
Ring for test of nonlinear integrable optics
Ring test nonlinear integrable optics Nonlinear optics
2012/2/28
Nonlinear optics is a promising idea potentially opening the path towards achieving super high beam intensities in circular accelerators. Creation of a tune spread reaching 50% of the betatron tune wo...
Dimer Models and Integrable Systems
Dimer Models Integrable Systems High Energy Physics - Theory
2011/9/29
Abstract: We explore various aspects of the correspondence between dimer models and integrable systems recently introduced by Goncharov and Kenyon. Dimer models give rise to relativistic integrable sy...
A constructive approach to the soliton solutions of integrable quadrilateral lattice equations
soliton solutions quadrilateral lattice equations
2010/4/7
Scalar multidimensionally consistent quadrilateral lattice equations are studied. We explore a confluence between the superposition principle for solutions related by the Backlund transformation, and ...