34 citations · 69 across the 8 of their papers we have counts for
8 papers
Sounding the metabolic orchestra: A delay dynamical systems perspective on the glucose-insulin regulatory response to on-off glucose infusion
Stefan Ruschel, Benoit Huard
We investigate the consequences of periodic, on-off glucose infusion on the glucose-insulin regulatory system on the basis of a system-level mathematical model with two explicit ti…
On Classification of Integrable Davey-Stewartson Type Equations
Benoit Huard, Vladimir Novikov
This paper is devoted to the classification of integrable Davey-Stewartson type equations. A list of potentially deformable dispersionless systems is obtained through the requireme…
On the central quadric ansatz: integrable models and Painleve reductions
E. V. Ferapontov, B. Huard, A. Zhang
It was observed by Tod and later by Dunajski and Tod that the Boyer-Finley (BF) and the dispersionless Kadomtsev-Petviashvili (dKP) equations possess solutions whose level surfaces…
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…