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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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Trapezoidal discrete surfaces: geometry and integrability
TL;DR: In this paper, the authors considered the subclass of discrete surfaces of revolution and established algebraic and geometric properties which are reminiscent of those known in the continuous case, making connections with integrable discrete equations.
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The Lamé equation in shell membrane theory
TL;DR: In this article, a wide class of corresponding parallel membranes is shown to be generated via a Schrodinger equation of Lame type, characterized by the existence of a multiplicity of stress distributions for a given membrane geometry.
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On shell membranes of Enneper type: generalized Dupin cyclides
Wolfgang K. Schief,Wolfgang K. Schief,A Szereszewski,A Szereszewski,Colin Rogers,Colin Rogers +5 more
TL;DR: In this paper, a generalized Dupin cyclide arises naturally out of a classical system of equilibrium equations for shell membranes, which consists of all families of parallel canal surfaces on which the lines of curvature are planar.
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Log-aesthetic curves as similarity geometric analogue of Euler's elasticae
Jun-ichi Inoguchi,Kenji Kajiwara,Kenjiro T. Miura,Masayuki Sato,Wolfgang K. Schief,Yasuhiro Shimizu +5 more
TL;DR: The result suggests that the log-aesthetic curves and their generalization can be regarded as the similarity geometric analogue of Euler's elasticae.
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Critical points, Lauricella functions and Whitham-type equations
TL;DR: In this article, 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.