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math-ph2008★ 9 cited
Elliptic solutions of isentropic ideal compressible fluid flow in (3+1) dimensions
R. Conte, A. M. Grundland, B. Huard
A modified version of the conditional symmetry method, together with the classical method, is used to obtain new classes of elliptic solutions of the isentropic ideal compressible…
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…