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20002021
most citedThe Complex Geometry of Weak Piecewise Smooth Solutions of Integrable Nonlinear PDE's of Shallow Water and Dym Type

96 citations · 525 across the 27 of their papers we have counts for

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Showing 2004Show all

3 papers · 1 filter

nlin.SI2004★ 18 cited

Closed geodesics and billiards on quadrics related to elliptic KdV solutions

Simonetta Abenda, Yuri N. Fedorov

We consider algebraic geometrical properties of the integrable billiard on a quadric Q with elastic impacts along another quadric confocal to Q. These properties are in sharp contr…

math.DS2004★ 40 cited

Discrete Nonholonomic LL Systems on Lie Groups

Yuri N. Fedorov, Dmitry V. Zenkov

This paper applies the recently developed theory of discrete nonholonomic mechanics to the study of discrete nonholonomic left-invariant dynamics on Lie groups. The theory is illus…

math-ph2004★ 9 cited

Integrable nonholonomic geodesic flows on compact Lie groups

Yuri N. Fedorov, Bozidar Jovanovic

This paper is a review of recent results on integrable nonholonomic geodesic flows of left--invariant metrics and left- and right--invariant constraint distributions on compact Lie…