98 citations
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math-ph2008★ 9 cited
Supersymmetric version of a hydrodynamic system in Riemann invariants and its solutions
A. M. Grundland, A. J. Hariton
In this paper, a supersymmetric extension of a system of hydrodynamic type equations involving Riemann invariants is formulated in terms of a superspace and superfield formalism. T…
math-ph2007
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…