33 citations · 65 across the 9 of their papers we have counts for
5 papers · 1 filter
Revivals and Fractalisation in the Linear Free Space Schrödinger Equation
Peter J Olver, Natalie E Sheils, David A Smith
We consider the one-dimensional linear free space Schrödinger equation on a bounded interval subject to homogeneous linear boundary conditions. We prove that, in the case of pseudo…
Liouville correspondences between multi-component integrable hierarchies
Jing Kang, Xiaochuan Liu, Peter J. Olver +1
In this paper, we establish Liouville correspondences for the integrable two-component Camassa-Holm hierarchy, the two-component Novikov (Geng-Xue) hierarchy, and the two-component…
Affine Differential Invariants for Invariant Feature Point Detection
Stanley L. Tuznik, Peter J. Olver, Allen Tannenbaum
Image feature points are detected as pixels which locally maximize a detector function, two commonly used examples of which are the (Euclidean) image gradient and the Harris-Stephe…
The body matrix and its determinant
Darij Grinberg, Peter J. Olver
The primary purpose of this note is to prove two recent conjectures concerning the body matrix that arose in recent papers of Escobar-Ruiz, Miller, and Turbiner on the classica…
Points of constancy of the periodic linearized Korteweg--deVries equation
Peter J. Olver, Efstratios Tsatis
We investigate the points of constancy in the piecewise constant solution profiles of the periodic linearized Korteweg--deVries equation with step function initial data at rational…