12 citations · 47 across the 11 of their papers we have counts for
11 papers
Algebraic discretization of time-independent Hamiltonian systems using a Lie-group/algebra approach
Sébastien Bertrand
In this paper, time-independent Hamiltonian systems are investigated via a Lie-group/algebra formalism. The (unknown) solution linked with the Hamiltonian is considered to be a Lie…
On superintegrability of 3D axially-symmetric non-subgroup-type systems with magnetic fields
Sébastien Bertrand, Ondřej Kubů, Libor Šnobl
We extend the investigation of three-dimensional (3D) Hamiltonian systems of non-subgroup type admitting non-zero magnetic fields and an axial symmetry, namely the circular parabol…
On rotationally invariant integrable and superintegrable classical systems in magnetic fields with non-subgroup type integrals
Sebastien Bertrand, Libor Šnobl
The aim of the present article is to construct quadratically integrable three dimensional systems in non-vanishing magnetic fields which possess so-called non-subgroup type integra…
Structural equations of supermanifolds immersed in the superspace with a prescribed curvature
Sébastien Bertrand, A. Michel Grundland
The aim of this paper is to construct the structural equations of supermanifolds immersed in Euclidean, hyperbolic and spherical superspaces parametrised with two bosonic and two f…
On geometric aspects of the SUSY Fokas-Gel'fand immersion formula
Sébastien Bertrand
In this paper, we develop a new geometric characterization for the supersymmetric versions of the Fokas--Gel'fand formula for the immersion of soliton supermanifolds with two boson…
On integrability aspects of the supersymmetric sine-Gordon equation
Sébastien Bertrand
In this paper we study certain integrability properties of the supersymmetric sine-Gordon equation. We construct Lax pairs with their zero-curvature representations which are equiv…