26 citations · 209 across the 47 of their papers we have counts for
49 papers
Recurrence relations and general solution of the exceptional Hermite equation
Alfred Michel Grundland, Danilo Latini, Ian Marquette
Exceptional orthogonal Hermite and Laguerre polynomials have been linked to the k-step extension of harmonic and singular oscillators. The exceptional polynomials allow the existen…
Multiple Riemann wave solutions of the general form of quasilinear hyperbolic systems
A. M. Grundland, J. de Lucas
The objective of this paper is to construct geometrically Riemann -wave solutions of the general form of first-order quasilinear hyperbolic systems of partial differential equat…
Symmetries and Riemann Invariants
A. Michel Grundland
To establish a relation between two approaches to the construction of Riemann k-wave solutions of hydrodynamic-type systems, namely the symmetry reduction method and the generalize…
Invariant solutions of the supersymmetric version of a two-phase fluid flow system
A. M. Grundland, A. J. Hariton
A supersymmetric extension of the two-phase fluid flow system is formulated. A superalgebra of Lie symmetries of the supersymmetric extension of this system is computed. The classi…
General solution of the exceptional Hermite differential equation and its minimal surface representation
Vincent Chalifour, A. Michel Grundland
The main aim of this paper is the study of the general solution of the exceptional Hermite differential equation with fixed partition and the construction of minimal surfa…
Minimal surfaces associated with orthogonal polynomials
Vincent Chalifour, Alfred Michel Grundland
This paper is devoted to a study of the connection between the immersion functions of two-dimensional surfaces in Euclidean or hyperbolic spaces and classical orthogonal polynomial…