290 citations
- Université de MontréalCA44 papers
- Université du QuébecCA37 papers
- Centre de recherches mathématiquesCA22 papers
- Université du Québec à MontréalCA16 papers
- Université de SherbrookeCA12 papers
- Centro de Investigación y de Estudios Avanzados del Instituto Politécnico NacionalMX6 papers
- University of WarsawPL5 papers
- Centre National de la Recherche ScientifiqueFR4 papers
- Commissariat à l'Énergie Atomique et aux Énergies AlternativesFR4 papers
- Czech Technical University in PragueCZ4 papers
- Flatiron Health (United States)US4 papers
- Lawrence Berkeley National LaboratoryUS4 papers
35 papers · 1 filter
On Riemann wave superpositions obtained from the Euler system
Łukasz Chomienia, Alfred Michel Grundland
The paper contains an analysis of the conditions for the existence of elastic versus non-elastic wave superpositions governed by the Euler system in (1+1)-dimensions. A review of r…
Multicomplex Ideals, Modules and Hilbert Spaces
Derek Courchesne, Sébastien Tremblay
In this article we study some algebraic aspects of multicomplex numbers . For a canonical representation is defined in terms of the multiplication of i…
Réductions d'un système bidimensionnel de sine-Gordon à la sixième équation de Painlevé
Robert Conte, A. Michel Grundland
We derive all the reductions of the system of two coupled sine-Gordon equations introduced by Konopelchenko and Rogers to ordinary differential equations. All these reductions are…
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…
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…
Supersymmetric generalized power functions
Mathieu Ouellet, Sébastien Tremblay
Complex-valued functions defined on a finite interval generalizing power functions of the type for are studied. These functions called -generalized…