4 papers · 1 filter
Invariant solutions of the supersymmetric sinh-Gordon equation
A. M. Grundland, A. J. Hariton, L. Snobl
A systematic group-theoretical analysis of the supersymmetric sinh-Gordon equation is performed. A generalization of the method of prolongations is used to determine the Lie supera…
Invariant solutions of the supersymmetric sine-Gordon equation
A. M. Grundland, A. J. Hariton, L. Snobl
A comprehensive symmetry analysis of the N=1 supersymmetric sine-Gordon equation is performed. Two different forms of the supersymmetric system are considered. We begin by studying…
Supersymmetric version of a Gaussian irrotational compressible fluid flow
A. M. Grundland, A. J. Hariton
The Lie point symmetries and corresponding invariant solutions are obtained for a Gaussian, irrotational, compressible fluid flow. A supersymmetric extension of this model is then…
Conditional Symmetries and Riemann Invariants for Hyperbolic Systems of PDEs
Alfred Michel Grundland, Benoit Huard
This paper contains an analysis of rank-k solutions in terms of Riemann invariants, obtained from interrelations between two concepts, that of the symmetry reduction method and of…