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math.CA2025
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…
nlin.SI2025
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…