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Wolfgang K. Schief
Researcher at University of New South Wales
Publications - 161
Citations - 4082
Wolfgang K. Schief is an academic researcher from University of New South Wales. The author has contributed to research in topics: Integrable system & Nonlinear system. The author has an hindex of 32, co-authored 158 publications receiving 3785 citations. Previous affiliations of Wolfgang K. Schief include Technical University of Berlin & Australian Research Council.
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On Weingarten transformations of hyperbolic nets
TL;DR: In this article, the authors propose a canonical analogue of discrete Weingarten transformations for hyperbolic nets, that is, C^1-surfaces which constitute hybrids of smooth and discrete surfaces "parametrized" in terms of asymptotic coordinates.
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The Nizhnik-Veselov-Novikov equation : Associated boundary value problems
TL;DR: In this article, the authors investigated boundary value problems on the half-and quarter-plane for the eigenfunction equation associated with the Nizhnik-Veselov-Novikov equation.
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Integrable discretization of hodograph-type systems, hyperelliptic integrals and Whitham equations
TL;DR: Based on the well-established theory of discrete conjugate nets in discrete differential geometry, this paper proposed and examined discrete analogues of important objects and notions in the theory of semi-H...
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Critical points, Lauricella functions and Whitham-type equations
TL;DR: In this paper, a large class of semi-Hamiltonian systems of hydrodynamic type is interpreted as the equations governing families of critical points of functions obeying the classical linear Darboux equations for conjugate nets.
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An integrable discretization of the characteristic equations associated with a gas dynamics system
TL;DR: The characteristic equations associated with a particular 1 + 1-dimensional anisentropic gas dynamics system may be discretized in such a way that integrability is preserved by reinterpreting the Backlund transformation for the classical Tzitzeica equation.