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 systems of hydrodynamical-type equations. It is shown that solutions of these systems describe processes of formation of singularities (cusps, nodes), bubbles and change of the genus of a curve. © 2010 IOP Publishing Ltd.

Konopelchenko, B., Ortenzi, G. (2010). Hamiltonian motions of plane curves and formation of singularities and bubbles. JOURNAL OF PHYSICS. A, MATHEMATICAL AND THEORETICAL, 43(19) [10.1088/1751-8113/43/19/195204].

Hamiltonian motions of plane curves and formation of singularities and bubbles

ORTENZI, GIOVANNI
Ultimo
2010

Abstract

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 systems of hydrodynamical-type equations. It is shown that solutions of these systems describe processes of formation of singularities (cusps, nodes), bubbles and change of the genus of a curve. © 2010 IOP Publishing Ltd.
Articolo in rivista - Articolo scientifico
Hamiltonian Integrable systems, motion of curves
English
18
Konopelchenko, B., Ortenzi, G. (2010). Hamiltonian motions of plane curves and formation of singularities and bubbles. JOURNAL OF PHYSICS. A, MATHEMATICAL AND THEORETICAL, 43(19) [10.1088/1751-8113/43/19/195204].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/56532
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