6 citations · 11 across the 8 of their papers we have counts for
9 papers
On the proximal dynamics between integrable and non-integrable members of a generalized Korteweg-de Vries family of equations
Nikos I. Karachalios, Dionyssios Mantzavinos, Jeffrey Oregero
The distance between the solutions to the integrable Korteweg-de Vries (KdV) equation and a broad class of non-integrable generalized KdV (gKdV) equations is estimated in appropria…
Experimental observation of the spatio-temporal dynamics of breather gases in a recirculating fiber loop
François Copie, Gino Biondini, Jeffrey Oregero +3
We report the first experimental observation of breather gases (BGs) in optics, realized in a recirculating fiber loop enabling virtually lossless propagation over km. Initi…
On the Modulation of Wave Trains in the Ostrovsky Equation
Mathew A. Johnson, Jeffrey Oregero, Wesley R. Perkins
We consider the nonlinear wave modulation of arbitrary amplitude periodic traveling wave solutions of the Ostrovsky equation, which arises as a model for the unidirectional propaga…
Spectral enclosure estimates for non-self-adjoint Dirac operators
Jeffrey Oregero
We study the spectrum of a periodic non-self-adjoint Dirac operator, and its dependence on a semiclassical parameter is also considered. Several bounds on the spectrum are obtained…
Modulational Stability of Wave Trains in the Camassa-Holm Equation
Mathew A. Johnson, Jeffrey Oregero
In this paper, we study the nonlinear wave modulation of arbitrary amplitude periodic traveling wave solutions of the Camassa-Holm (CH) equation. Slow modulations of wave trains is…
Breather gas fission from elliptic potentials in self-focusing media
Gino Biondini, Gennady A. El, Xu-Dan Luo +2
We present an analytical model of integrable turbulence in the focusing nonlinear Schrödinger (fNLS) equation, generated by a one-parameter family of finite-band elliptic potential…
Elliptic finite-band potentials of a non-self-adjoint Dirac operator
Gino Biondini, Xu-Dan Luo, Jeffrey Oregero +1
We present an explicit two-parameter family of finite-band Jacobi elliptic potentials for a non-self-adjoint Dirac operator which connects two previously known limiting cases in wh…
On the spectrum of the periodic focusing Zakharov-Shabat operator
Gino Biondini, Jeffrey Oregero, Alexander Tovbis
The spectrum of the focusing Zakharov-Shabat operator on the circle is studied, and its explicit dependence on the presence of a semiclassical parameter is also considered. Several…
Semiclassical dynamics and coherent soliton condensates in self-focusing nonlinear media with periodic initial conditions
Gino Biondini, Jeffrey Oregero
The small dispersion limit of the focusing nonlinear Schrodinger equation with periodic initial conditions is studied analytically and numerically. First, through a comprehensive s…