230 citations · 282 across the 3 of their papers we have counts for
3 papers
nlin.SI2004★ 230 cited
Ultra-short pulses in linear and nonlinear media
Y. Chung, C. K. R. T. Jones, T. Schaefer +1
We consider the evolution of ultra-short optical pulses in linear and nonlinear media. For the linear case, we first show that the initial-boundary value problem for Maxwell's equa…
patt-sol1996★ 26 cited
Geometric Stability Analysis for Periodic Solutions of the Swift-Hohenberg Equation
J. -P. Eckmann, C. E. Wayne, P. Wittwer
In this paper we describe invariant geometrical ~structures in the phase space of the Swift-Hohenberg equation in a neighborhood of its periodic stationary states. We show that in…
patt-sol1994★ 26 cited
On the validity of mean-field amplitude equations for counterpropagating wavetrains
R. D. Pierce, C. E. Wayne
We rigorously establish the validity of the equations describing the evolution of one-dimensional long wavelength modulations of counterpropagating wavetrains for a hyperbolic mode…