60 citations · 102 across the 12 of their papers we have counts for
12 papers
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 that are…
mKdV-Related Flows for Legendrian Curves in the Pseudohermitian 3-Sphere
Annalisa Calini, Thomas Ivey, Emilio Musso
We investigate geometric evolution equations for Legendrian curves in the 3-sphere which are invariant under the action of the unitary group . We define a natural sympl…
The Effects of Viscosity on the Linear Stability of Damped Stokes Waves, Downshifting, and Rogue Wave Generation
A. Calini, C. L. Ellisor, C. M. Schober +1
We investigate a higher order nonlinear Schrödinger equation with linear damping and weak viscosity, recently proposed as a model for deep water waves exhibiting frequency downshif…
Integrable evolutions of twisted polygons in centro-affine
Gloria Marí Beffa, Annalisa Calini
We show that discrete lattices are bi-Hamiltonian, using geometric realizations of discretizations of the Adler-Gel'fand-Dikii flows as local evolutions of arc length-paramet…
Integrable Geometric Flows for Curves in the Pseudoconformal 3-Sphere
Annalisa Calini, Thomas Ivey
We consider evolution equations for curves in the 3-dimensional sphere that are invariant under the group of pseudoconformal transformations, which preserves the st…
Linear Instability of the Peregrine Breather: Numerical and Analytical Investigations
Annalisa Calini, Constance M. Schober
We study the linear stability of the Peregrine breather both numerically and with analytical arguments based on its derivation as the singular limit of a single-mode spatially peri…