43 citations · 133 across the 15 of their papers we have counts for
15 papers
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…
Invariant solutions of a nonlinear wave equation with a small dissipation obtained via approximate symmetries
Alfred Michel Grundland, Alexander Hariton
In this paper, it is shown how a combination of approximate symmetries of a nonlinear wave equation with small dissipations and singularity analysis provides exact analytic solutio…
Supersymmetric formulation of the minimal surface equation: algebraic aspects
A. Michel Grundland, Alexander J. Hariton
In this paper, a supersymmetric extension of the minimal surface equation is formulated. Based on this formulation, a Lie superalgebra of infinitesimal symmetries of this equation…
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…
Supersymmetric version of the equations of conformally parametrized surfaces
S Bertrand, A M Grundland, A J Hariton
In this paper, we formulate a supersymmetric extension of the Gauss-Weingarten and Gauss-Codazzi equations for conformally parametrized surfaces immersed in a Grassmann superspace.…