34 citations · 69 across the 8 of their papers we have counts for
5 papers · 1 filter
Conditional symmetries and Riemann invariants for inhomogeneous hydrodynamic-type systems
A. Michel Grundland, Benoit Huard
A new approach to the solution of quasilinear nonelliptic first-order systems of inhomogeneous PDEs in many dimensions is presented. It is based on a version of the conditional sym…
Conditionally invariant solutions of the rotating shallow water wave equations
Benoit Huard
This paper is devoted to the extension of the recently proposed conditional symmetry method to first order nonhomogeneous quasilinear systems which are equivalent to homogeneous sy…
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…
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…
Riemann Invariants and Rank-k Solutions of Hyperbolic Systems
A. M. Grundland, B. Huard
In this paper we employ a "direct method" in order to obtain rank-k solutions of any hyperbolic system of first order quasilinear differential equations in many dimensions. We disc…