19 citations · 57 across the 6 of their papers we have counts for
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nlin.SI2001★ 19 cited
"Dispersion management" for solitons in a Korteweg-de Vries system
Simon Clarke, Boris A. Malomed, Roger Grimshaw
The existence of ``dispersion-managed solitons'', i.e., stable pulsating solitary-wave solutions to the nonlinear Schrödinger equation with periodically modulated and sign-variable…
nlin.SI2001
An Exactly Solvable Model for the Interaction of Linear Waves with Korteweg-de Vries Solitons
P. D. Miller, S. R. Clarke
Under certain mode-matching conditions, small-amplitude waves can be trapped by coupling to solitons of nonlinear fields. We present a model for this phenomenon, consisting of a li…
nlin.SI2000★ 8 cited
Soliton formation from a pulse passing the zero-dispersion point in a nonlinear Schrödinger equation
S. R. Clarke, R. H. J. Grimshaw, Boris A. Malomed
We consider in detail the self-trapping of a soliton from a wave pulse that passes from a defocussing region into a focussing one in a spatially inhomogeneous nonlinear waveguide,…