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Mathematics

D-Index
36
Citations
4975
World Ranking
2661
National Ranking
58

Overview

Wolfgang K. Schief is affiliated with the University of New South Wales in Australia. Their research spans multiple disciplines with a primary focus on physics, engineering, and mathematics. Within these broad areas, Schief's work delves into specialized subfields such as statistical and nonlinear physics, computational mechanics, numerical analysis, computer graphics, and geometry and topology.

The main topics addressed in Schief's research include nonlinear waves and solitons, nonlinear photonic systems, numerical methods for differential equations, fluid dynamics and turbulent flows, advanced numerical analysis techniques, computer graphics and visualization techniques, and 3D shape modeling and analysis.

Schief has authored several peer-reviewed publications in notable scientific journals. Key recent papers include:

  • On relativistic gasdynamics: invariance under a class of reciprocal-type transformations and integrable Heisenberg spin connections, 2020, Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences
  • Log-aesthetic curves: Similarity geometry, integrable discretization and variational principles, 2023, Computer Aided Geometric Design
  • On non-steady planar motions of fibre-reinforced fluids. Geometry and integrable structure, 2020, Journal of Physics A Mathematical and Theoretical
  • On steady motions of an ideal fibre-reinforced fluid in a curved stratum. Geometry and integrability, 2021, Journal of Physics A Mathematical and Theoretical
  • Canonical reductions of the TED equation: integrable deformations of heavenly-type equations, 2024, Journal of Physics A Mathematical and Theoretical

The frequent co-authors of Schief include:

  • C. Rogers
  • Dmitry K. Demskoi
  • B. G. Konopelchenko
  • Udo Hertrich-Jeromin
  • Tommaso Ruggeri

Schief has published predominantly in the following venues, reflecting their research interests and collaborations:

  • Journal of Physics A Mathematical and Theoretical
  • Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences
  • arXiv (Cornell University)
  • Computer Aided Geometric Design
  • Acta Mechanica

Best Publications

  • Bäcklund and Darboux transformations : geometry and modern applications in soliton theory

    C. Rogers;Wolfgang Karl Schief

  • Backlund and Darboux Transformations

    C. Rogers;W. K. Schief

  • Superposition principles associated with the Moutard transformation: an integrable discretization of a (2+1)–dimensional sine–Gordon system

    J. J. C. Nimmo;W. K. Schief

  • Three–dimensional integrable lattices in Euclidean spaces: conjugacy and orthogonality

    B. G. Konopelchenko;W. K. Schief

  • Binormal motion of curves of constant curvature and torsion. Generation of soliton surfaces

    W. K. Schief;C. Rogers

  • The resonant nonlinear Schrödinger equation in cold plasma physics. Application of Bäcklund-Darboux transformations and superposition principles

    Jiunhung Lee;Oktay Pashaev;Colin Rogers;W. K. Schief

  • Isothermic Surfaces in Spaces of Arbitrary Dimension: Integrability, Discretization, and Bäcklund Transformations—A Discrete Calapso Equation

    W. K. Schief

  • Self-dual Einstein spaces via a permutability theorem for the Tzitzeica equation

    W.K. Schief

  • Menelaus' theorem, Clifford configurations and inversive geometry of the Schwarzian KP hierarchy

    B G Konopelchenko;W K Schief

  • Intrinsic Geometry of the NLS Equation and Its Auto‐Bäcklund Transformation

    C. Rogers;W. K. Schief

  • Squared Eigenfunctions of the (modified) KP Hierarchy and Scattering Problems of Loewner Type

    W. Oevel;W. Schief

  • Multi-component Ermakov Systems: Structure and Linearization

    C. Rogers;W.K. Schief

  • Lattice Geometry of the Discrete Darboux, KP, BKP and CKP Equations. Menelaus’ and Carnot’s Theorems

    Wolfgang Karl Schief

  • The affinspharen equation. Moutard and Backlund transformations

    W K Schief;C Rogers

  • On the geometry of an integrable (2+1)–dimensional sine–Gordon system

    W. K. Schief

  • On the Integrability of Infinitesimal and Finite Deformations of Polyhedral Surfaces

    Wolfgang K. Schief;Wolfgang K. Schief;Alexander I. Bobenko;Tim Hoffmann

  • On the unification of classical and novel integrable surfaces. II. Difference geometry

    W.K. Schief

  • Ermakov systems of arbitrary order and dimension: structure and linearization

    W K Schief;C Rogers;A P Bassom

  • An Integrable Discretization of a 2+1‐dimensional Sine‐Gordon Equation

    J. J. C. Nimmo;W. K. Schief

  • Loewner Transformations: Adjoint and Binary Darboux Connections

    W. K. Schief;C. Rogers

  • Darboux Theorems and the KP Hierarchy

    W. Oevel;W. Schief

Frequent Co-Authors

Colin Rogers
Colin Rogers University of New South Wales
Boris Konopelchenko
Boris Konopelchenko University of Salento
Alexander I. Bobenko
Alexander I. Bobenko Technical University of Berlin
Evgeny Ferapontov
Evgeny Ferapontov Loughborough University
Boris A. Malomed
Boris A. Malomed Tel Aviv University
Pavel Winternitz
Pavel Winternitz University of Montreal
Athanassios S. Fokas
Athanassios S. Fokas University of Cambridge
Yuji Kodama
Yuji Kodama The Ohio State University

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