7 citations · 18 across the 4 of their papers we have counts for
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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 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 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…
Supersymmetric versions of the equations of conformally parametrized surfaces
Sébastien Bertrand, Alfred Michel Grundland, Alexander Hariton
The objective of this paper is to formulate two distinct supersymmetric (SUSY) extensions of the Gauss-Weingarten and Gauss-Codazzi (GC) equations for conformally parametrized surf…
On the Integrability of Supersymmetric Versions of the Structural Equations for Conformally Parametrized Surfaces
Sébastien Bertrand, Alfred M. Grundland, Alexander J. Hariton
The paper presents the bosonic and fermionic supersymmetric extensions of the structural equations describing conformally parametrized surfaces immersed in a Grasmann superspace, b…