20 citations · 56 across the 8 of their papers we have counts for
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nlin.SI2017★ 7 cited
On Integrable Ermakov-Painlevé IV Systems
Colin Rogers, Andrew P. Bassom, Peter A. Clarkson
Novel hybrid Ermakov-Painlevé IV systems are introduced and an associated Ermakov invariant is used in establishing their integrability. Bäcklund transformations are then employed…
nlin.SI2017★ 9 cited
Ermakov-Painlevé II Symmetry Reduction of a Korteweg Capillarity System
Colin Rogers, Peter A. Clarkson
A class of nonlinear Schrödinger equations involving a triad of power law terms together with a de Broglie-Bohm potential is shown to admit symmetry reduction to a hybrid Ermakov-P…