21 citations · 21 across the 3 of their papers we have counts for
4 papers
On an integrable 2+1-dimensional extended Dym equation: Lax pair, -dressing scheme and modulation
Boris Konopelchenko, Colin Rogers, Pablo Amster
In 1+1-dimensions, an extension of the canonical solitonic Dym equation has previously been derived both in a geometric torsion evolution context and in the analysis of peakon soli…
A discretisation of the Ermakov-Painlevé II equation: Dirichlet and Robin-type boundary value problems
Pablo Amster, Colin Rogers
Two-point boundary value problems for a discrete Ermakov-Painlevé II equation are analysed by means of topological methods. In addition, an alternative variational approach is deta…
Whitham-Broer-Kaup Systems in Multi-dimensions: Quantum and Resonant NLS Connections
Oktay K Pashaev, Colin Rogers
An overview is presented of quantum and resonant nonlinear Schrödinger equation links to Whitham-Broer-Kaup type systems. A novel n+1-dimensional extension of the Whitham-Broer-Kau…
Painlevé structure of a multi-ion electrodiffusion system
Robert Conte, Colin Rogers, Wolfgang Schief
A nonlinear coupled system descriptive of multi-ion electrodiffusion is investigated and all parameters for which the system admits a single-valued general solution are isolated. T…