47 citations · 181 across the 13 of their papers we have counts for
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nlin.SI2014★ 2 cited
Dynamics of rogue waves on a multi-soliton background in a vector nonlinear Schrodinger equation
Gui Mu, Zhenyun Qin, Roger Grimshaw
General higher order rogue waves of a vector nonlinear Schrodinger equation (Manakov system) are derived using a Darboux-dressing transformation with an asymptotic expansion method…
nlin.SI2012
Global existence of small-norm solutions in the reduced Ostrovsky equation
Roger Grimshaw, Dmitry Pelinovsky
We use a novel transformation of the reduced Ostrovsky equation to the integrable Tzitzéica equation and prove global existence of small-norm solutions in Sobolev space . T…
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…