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Discrete Integrable Systems and Hodograph Transformations Arising from Motions of Discrete Plane Curves
Discrete Integrable Systems Hodograph Transformations Motions of Discrete Plane Curves
2011/9/29
Abstract: We consider integrable discretizations of some soliton equations associated with the motions of plane curves: the Wadati-Konno-Ichikawa elastic beam equation, the complex Dym equation, and t...
Discrete integrable systems, positivity, and continued fraction rearrangements
cluster algebras Laurent phenomenon positivity integrable systems
2010/12/3
In this review article, we present a unified approach to solving discrete,integrable, possibly non-commutative, dynamical systems, including the Qand T-systems based on Ar.