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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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MonographDOI
Bäcklund and Darboux transformations : geometry and modern applications in soliton theory
Colin Rogers,Wolfgang K. Schief +1 more
TL;DR: Backlund-Darboux transformations with their remarkable associated nonlinear superposition principles and importance in soliton theory have been explored in this article, where the authors also explore the extensive body of literature from the nineteenth and early twentieth centuries by such eminent geometers as Bianchi, Darboux, Backlund, and Eisenhart on transformations of privileged classes of surfaces which leave key geometric properties unchanged.
Journal ArticleDOI
Three–dimensional integrable lattices in Euclidean spaces: conjugacy and orthogonality
TL;DR: In this article, it was shown that the discrete Darboux system admits constraints on the (adjoint) eigenfunctions which may be interpreted as discrete orthogonality conditions on the lattices.
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Superposition principles associated with the Moutard transformation: an integrable discretization of a (2+1)–dimensional sine–Gordon system
TL;DR: In this paper, a discrete analogue of the Moutard transformation is constructed by means of discrete analogues of the kink solutions of the continuous system, and it is shown that, in a particular form, this system is an integrable discretization of a (2+1)-dimensional sine-Gordon system.
Journal ArticleDOI
Binormal motion of curves of constant curvature and torsion. Generation of soliton surfaces
Wolfgang K. Schief,Colin Rogers +1 more
TL;DR: The purely binormal motion of curves of constant curvature or torsion is shown to lead to integrable extensions of the Dym and classical sine-Gordon equations as discussed by the authors.