A. Calini

collaborators

2 papers

math.DG2024

A Novel Geometric Realization of the Yajima-Oikawa Equations

Annalisa Calini, Thomas A. Ivey

We show that the Yajima-Oikawa (YO) equations, a model of short wave-long wave interaction, arise from a simple geometric flow on curves in the 3-dimensional sphere $S^{3}$ that are…

nlin.SI2024

Integrable evolutions of twisted polygons in centro-affine $R^{m}$

Gloria MarÃ Beffa, Annalisa Calini

We show that discrete $W_{m}$ lattices are bi-Hamiltonian, using geometric realizations of discretizations of the Adler-Gel'fand-Dikii flows as local evolutions of arc length-paramet…

A Novel Geometric Realization of the Yajima-Oikawa Equations

Integrable evolutions of twisted polygons in centro-affine Rm

Integrable evolutions of twisted polygons in centro-affine $R^{m}$