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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...
Hamiltonian motions of plane curves and formation of singularities and bubbles
Hamiltonian motions plane curves
2010/4/1
A class of Hamiltonian deformations of plane curves is defined and studied. Hamiltonian deformations of conics and cubics are considered as illustrative examples. These deformations are described by s...