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math.AP2006
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…
math.AP2006
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…
math.AP2005
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…