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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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Bäcklund Transformations and Superposition Principles in Nonlinear Elastodynamics
TL;DR: In this article, a Backlund transformation is presented which allows the construction of model nonlinear elastic laws associated with a reduction of the uniaxial Lagrangian elastodynamic system to the canonical form adopted for the classical Hooke's law.
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A novel generalization of Clifford's classical point–circle configuration. Geometric interpretation of the quaternionic discrete Schwarzian Kadomtsev–Petviashvili equation
TL;DR: The algebraic and geometric properties of a novel generalization of Clifford's classical 4 point circle configuration are analyzed in this article, and a connection with the integrable quaternionic discrete Schwarzian is made.
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The Kinematics of Fibre‐Reinforced Fluids. An Integrable Reduction
Wolfgang K. Schief,Colin Rogers +1 more
TL;DR: In this article, a geometric formulation for the kinematic conditions attendant upon the motion of an ideal fiber-reinforced fluid is presented. But it is only for the case of planar motion, and the conditions admit a reduction to a solitonic system related to the classical sine-Gordon equation.
Posted Content
Circle complexes and the discrete CKP equation
TL;DR: In this paper, the geometric and algebraic structure of fundamental line complexes and the underlying privileged discrete integrable system for the minors of a matrix which constitute associated Plucker coordinates are investigated.
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A novel class of model constitutive laws in nonlinear elasticity: Construction via Loewner theory
TL;DR: In this paper, the authors show that the class of infinitesimal Backlund transformations originally introduced by Loewner in 1952 in a gasodynamic context results in physically interesting nonlinear model constitutive laws.