4 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…
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…
Linear superposition in nonlinear wave dynamics
A. Babin, A. Figotin
We study nonlinear dispersive wave systems described by hyperbolic PDE's in R^{d} and difference equations on the lattice Z^{d}. The systems involve two small parameters: one is th…
Nonlinear Photonic Crystals: IV. Nonlinear Schrodinger Equation Regime
Anatoli Babin, Alexander Figotin
We study here the nonlinear Schrodinger Equation (NLS) as the first term in a sequence of approximations for an electromagnetic (EM) wave propagating according to the nonlinear Max…