35 citations · 43 across the 5 of their papers we have counts for
5 papers
Nonlinear dynamics of a system of particle-like wavepackets
A. Babin, A. Figotin
This work continues our studies of nonlinear evolution of a system of wavepackets. We study a wave propagation governed by a nonlinear system of hyperbolic PDE's with constant coef…
Hamiltonian structure for dispersive and dissipative dynamical systems
Alex Figotin, Jeffrey H. Schenker
We develop a Hamiltonian theory of a time dispersive and dissipative inhomogeneous medium, as described by a linear response equation respecting causality and power dissipation. Th…
Wavepacket preservation under nonlinear evolution
A. Babin, A. Figotin
We study nonlinear systems of hyperbolic (in a wider sense) PDE's in entire d-dimensional space describing wave propagation with the initial data in the form of a finite sum of wav…
Hamiltonian extension and eigenfunctions for a time dispersive dissipative string
Alexander Figotin, Jeffrey Schenker
We carry out a detailed analysis of a time dispersive dissipative (TDD) string, using our recently developed conservative and Hamiltonian extensions of TDD systems. This analysis o…
Open Systems Viewed Through Their Conservative Extensions
Alexander Figotin, Stephen P. Shipman
A typical linear open system is often defined as a component of a larger conservative one. For instance, a dielectric medium, defined by its frequency dependent electric permittivi…