20 citations · 56 across the 8 of their papers we have counts for
8 papers
A Class of Moving Boundary Problems with a Source Term. Application of a Reciprocal Transformation
Adriana C. Briozzo, Colin Rogers, Domingo A. Tarzia
We consider a new Stefan-type problem for the classical heat equation with a latent heat and phase-change temperature depending of the variable time. We prove the equivalence of th…
Reciprocal Transformations in Relativistic Gasdynamics. Lie Group Connections
Sergey V. Meleshko, Colin Rogers
Reciprocal transformations associated with admitted conservation laws were originally used to derive invariance properties in non-relativistic gasdynamics and applied to obtain red…
On Madelung systems in nonlinear optics: A reciprocal invariance
Colin Rogers, Boris Malomed
The role of the de Broglie-Bohm potential, originally established as central to Bohmian quantum mechanics, is examined for two canonical Madelung systems in nonlinear optics. In a…
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…
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…
A 2+1-Dimensional Non-Isothermal Magnetogasdynamic System. Hamiltonian-Ermakov Integrable Reduction
Hongli An, Colin Rogers
A 2+1-dimensional anisentropic magnetogasdynamic system with a polytropic gas law is shown to admit an integrable elliptic vortex reduction when to a nonlinear dynamical subs…