W. Schief

发表

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

B. Konopelchenko, W. Schief, 1998, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

Bäcklund and Darboux Transformations: Bianchi and Ernst Systems. Bäcklund Transformations and Permutability Theorems

C. Rogers, W. Schief, 2002 .

Bäcklund and Darboux Transformations: General Aspects of Soliton Surfaces. Role of Gauge and Reciprocal Transformations

C. Rogers, W. Schief, 2002 .

Bäcklund and Darboux Transformations: CC-Ideals

C. Rogers, W. Schief, 2002 .

Bäcklund and Darboux Transformations: The su (2)– so (3) Isomorphism

C. Rogers, W. Schief, 2002 .

Bäcklund and Darboux Transformations: Biographies

C. Rogers, W. Schief, 2002 .

Bäcklund and Darboux Transformations: The Motion of Curves and Surfaces. Soliton Connections

C. Rogers, W. Schief, 2002 .

Isothermic Surfaces. The Calapso and Zoomeron Equations

C. Rogers, W. Schief, 2002 .

Bäcklund and Darboux Transformations: Bäcklund Transformation and Darboux Matrix Connections

C. Rogers, W. Schief, 2002 .

Bäcklund and Darboux Transformations: General Introduction and Outline

C. Rogers, W. Schief, 2002 .

Bäcklund and Darboux Transformations: Hasimoto Surfaces and the Nonlinear Schrödinger Equation. Geometry and Associated Soliton Equations

C. Rogers, W. Schief, 2002 .

Bäcklund and Darboux Transformations: Pseudospherical Surfaces and the Classical Bäcklund Transformation. The Bianchi System

C. Rogers, W. Schief, 2002 .

Bäcklund and Darboux Transformations: Projective-Minimal and Isothermal-Asymptotic Surfaces

C. Rogers, W. Schief, 2002 .

Bäcklund and Darboux Transformations: Tzitzeica Surfaces. Conjugate Nets and the Toda Lattice Scheme

C. Rogers, W. Schief, 2002 .

The affinspharen equation. Moutard and Backlund transformations

C. Rogers, W. Schief, 1994 .

Log-Aesthetic Curves: Similarity Geometry, Integrable Discretization and Variational Principles

K. Miura, K. Kajiwara, J. Inoguchi, 2018, 1808.03104.

Isothermic Surfaces Generated via Bäcklund and Moutard Transformations: Boomeron and Zoomeron Connections

C. Rogers, A. Degasperis, W. Schief, 2002 .

Discrete line complexes and integrable evolution of minors

A. Bobenko, W. Schief, 2014, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.

Circle complexes and the discrete CKP equation

A. Bobenko, W. Schief, 2015, 1509.04109.

The resonant nonlinear Schrödinger equation via an integrable capillarity model

Christopher L. Rogers, W. Schief, C. Rogers, 1999 .

Hyperbolic surfaces in centro-affine geometry: Integrability and discretization

W. Schief, 2000 .

Virasoro structure and localized excitations of the LKR system

Wolfgang K. Schief, S. Y. Lou, Colin Rogers, 2003 .

On localized solitonic solutions of a (2+1)-dimensional sine-Gordon system

W. Schief, 1992 .

A discrete Pinney equation

W. Schief, 1997 .

Hidden integrability in subsonic gasdynamics. Reciprocal vortex street generation

C. Rogers, W. Schief, 2004 .

Bäcklund and Darboux Transformations: Frontmatter

C. Rogers, W. Schief, 2002 .

Integrable discretization of hodograph-type systems, hyperelliptic integrals and Whitham equations

B. Konopelchenko, W. Schief, 2014, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.

Tetrahedra, octahedra and cubo-octahedra: integrable geometry of multi-ratios

A. King, W. Schief, 2003 .

Reciprocal Figures, Graphical Statics, and Inversive Geometry of the Schwarzian BKP Hierarchy

B. Konopelchenko, W. Schief, 2001, nlin/0107001.

The Euler Equations of Spatial Gasdynamics and the Integrable Heisenberg Spin Equation

C. Rogers, W. Schief, 2012 .

Bäcklund Transformations and Superposition Principles in Nonlinear Elastodynamics

W. Schief, C. Rogers, 2010 .

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

C. Rogers, W. Schief, W. Schief, 1998 .

A novel class of model constitutive laws in nonlinear elasticity: Construction via Loewner theory

C. Rogers, K. Chow, W. Schief, 2007 .

On a Discretization of Confocal Quadrics. A Geometric Approach to General Parametrizations

A. Bobenko, Y. Suris, W. Schief, 2017, International Mathematics Research Notices.

Hidden integrability in ideal magnetohydrodynamics: The Pohlmeyer–Lund–Regge model

W. Schief, 2003 .

On hyperbolic surfaces: Moving triad and Loewner system connections☆

C. Rogers, W. Schief, M. Johnston, 1995 .

Multi-component Ermakov Systems: Structure and Linearization

C. Rogers, W. Schief, 1996 .

On a Painlevé II Model in Steady Electrolysis: Application of a Bäcklund Transformation☆

C. Rogers, A. Bassom, W. Schief, 1999 .

On Geodesic Hydrodynamic Motions. Heisenberg Spin Connections

C. Rogers, W. Schief, 2000 .

Checkerboard incircular nets: Laguerre geometry and parametrisation

A. Bobenko, W. Schief, Jan Techter, 2018, Geometriae Dedicata.

Biomechanically Coupled Curvature Transfer in Normal and Keratoconus Corneal Collagen

W. Schief, C. McMonnies, 2006, Eye & contact lens.

Novel integrable reductions in nonlinear continuum mechanics via geometric constraints

Wolfgang K. Schief, Colin Rogers, C. Rogers, 2003 .

Bäcklund and Darboux Transformations: Geometry and Modern Applications in Soliton Theory

Wolfgang K. Schief, Colin Rogers, C. Rogers, 2002 .

Bäcklund and Darboux Transformations: Bibliography and Author Index

Colin Rogers, W. K. Schief, C. Rogers, 2002 .

Bäcklund and Darboux Transformations: Preface

Colin Rogers, W. K. Schief, C. Rogers, 2002 .

A unified approach to infinitesimal Loewner and Geroch transformations and the Ernst and Einstein-Maxwell equations

W. Schief, 2001 .

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

W. Schief, 2001 .

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

J. Nimmo, W. Schief, 1997, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

An infinite hierarchy of symmetries associated with hyperbolic surfaces

Wolfgang K. Schief, W. Schief, 1995 .

Affine Spheres: Discretization via Duality Relations

Wolfgang K. Schief, Alexander I. Bobenko, A. Bobenko, 1999, Exp. Math..

Surfaces of Demoulin: differential geometry, Bäcklund transformation and integrability

Wolfgang K. Schief, W. Schief, E. Ferapontov, 1999 .

On the unification of classical and novel integrable surfaces. I. Differential geometry

B. Konopelchenko, W. Schief, 2001, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

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

W. Schief, 2001, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

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

W. Schief, 1996 .

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

Wolfgang K. Schief, W. Schief, 1997, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

Surface theory in discrete projective differential geometry. I. A canonical frame and an integrable discrete Demoulin system

W. Schief, A. Szereszewski, 2018, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.

Integrable Structure in the Theory of Stress Concentration in Shear‐Strained Nonlinear Elastic Materials

W. Schief, C. Rogers, 2010 .

On a maximum principle for minimal surfaces and their integrable discrete counterparts

W. Schief, 2006 .

Isothermic surfaces and the Calapso equation: The full Monty

W. Schief, 2001 .

Random Orthogonal Matrix Simulation with Exact Means, Covariances, and Multivariate Skewness

Michael Hanke, Alex Weissensteiner, Spiridon I. Penev, 2016, Eur. J. Oper. Res..

Bianchi Hypercubes and a Geometric Unification of the Hirota and Miwa Equations

A. King, W. Schief, 2015 .

Clifford lattices and a conformal generalization of Desargues’ theorem

A. King, W. Schief, 2012 .

Application of an incidence theorem for conics: Cauchy problem and integrability of the dCKP equation

A. King, W. Schief, 2006 .

CONFORMAL GEOMETRY OF THE (DISCRETE) SCHWARZIAN DAVEY-STEWARTSON II HIERARCHY

B. Konopelchenko, W. Schief, 2003, Glasgow Mathematical Journal.

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

W. Schief, 2003 .

Initial/boundary value problems and Darboux-Levi-type transformations associated with a 2 + 1-dimensional eigenfunction equation

C. Rogers, W. Schief, M. Stallybrass, 1995 .

A (2+1)-dimensional sine-Gordon system: its auto-Bäcklund transformation

C. Rogers, B. Konopelchenko, W. Schief, 1992 .

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

B. Konopelchenko, W. Schief, 2001, nlin/0105023.

On Discrete Conjugate Semi-Geodesic Nets

Tim Hoffmann, Wolfgang K Schief, Jannik Steinmeier, 2021 .

Integrable structure in discrete shell membrane theory

W K Schief, W. Schief, 2014, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.

Integrable discrete differential geometry of ‘plated’ membranes in equilibrium

W. Schief, 2005, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.

Trapezoidal discrete surfaces: geometry and integrability

B. Konopelchenko, W. Schief, 1999 .

On Weingarten Transformations of Hyperbolic Nets

W. Schief, Emanuel Huhnen-Venedey, 2013, 1305.4783.

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

J. Nimmo, W. Schief, 1998 .

On a 2+1-dimensional integrable Ernst-type equation

Wolfgang K. Schief, W. Schief, 1994, Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences.

On an integrable multi-dimensionally consistent 2n + 2n-dimensional heavenly-type equation

B. Konopelchenko, W. Schief, 2019, Proceedings of the Royal Society A.

Discrete Chebyshev nets and a universal permutability theorem

Wolfgang K. Schief, W. Schief, 2007 .

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

Wolfgang K. Schief, Oktay K. Pashaev, Colin Rogers, 2007, Journal of Plasma Physics.

On modulated coupled systems. Canonical reduction via reciprocal transformations

Boris A. Malomed, Colin Rogers, Wolfgang K. Schief, 2020, Commun. Nonlinear Sci. Numer. Simul..

On relativistic gasdynamics: invariance under a class of reciprocal-type transformations and integrable Heisenberg spin connections

C. Rogers, T. Ruggeri, W. Schief, 2020, Proceedings of the Royal Society A.

Backlund transformations for the (un)pumped Maxwell-Bloch system and the fifth Painleve equation

W. Schief, 1994 .

On a Novel Resonant Ermakov-NLS System: Painlevé Reduction

C. Rogers, W. Schief, 2018 .

On Ermakov–Painlevé II systems. Integrable reduction

C. Rogers, W. Schief, 2016, Meccanica.

On Ermakov–Painlevé II systems. Integrable reduction

Wolfgang K. Schief, Colin Rogers, C. Rogers, 2016 .

The classical Korteweg capillarity system: geometry and invariant transformations

C. Rogers, W. Schief, 2014 .

Loewner Transformations: Adjoint and Binary Darboux Connections

C. Rogers, W. Schief, 1998 .

Lie-Theoretical Generalization and Discretization of the Pinney Equation☆

Wolfgang K. Schief, Pavel Winternitz, Colin Rogers, 1997 .

A note on a capillarity model and the nonlinear Schrödinger equation

C. Rogers, W. Schief, L. K. Antanovskii, 1997 .

The pulsrodon in 2+1-dimensional magneto-gasdynamics: Hamiltonian structure and integrability

C. Rogers, W. Schief, 2011 .

Ermakov systems of arbitrary order and dimension: structure and linearization

Wolfgang K. Schief, Andrew P. Bassom, Colin Rogers, 1996 .

Reciprocal transformations of two-component hyperbolic systems and their invariants

C. Rogers, W. Schief, E. Ferapontov, 1998 .

On steady motions of an ideal fibre-reinforced fluid in a curved stratum. Geometry and integrability

Dmitry K Demskoi, Wolfgang K Schief, W. Schief, 2021, Journal of Physics A: Mathematical and Theoretical.

On the integrability of Bertrand curves and Razzaboni surfaces

W. Schief, 2003 .

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

C. Rogers, W. Schief, Colin Rogers, 1999, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

Darboux Theorems and the KP Hierarchy

W. Schief, W. Oevel, 1993 .

An integrable discretization of the characteristic equations associated with a gas dynamics system

W. Schief, 1998 .

The classical Bäcklund transformation and integrable discretisation of characteristic equations

C. Rogers, W. Schief, 1997 .

The Tzitzeica equation: A Bäcklund transformation interpreted as truncated Painlevé expansion

W. Schief, 1996 .

Evolution of methacrylate distribution during wood saturation

Colin Rogers, Wolfgang K. Schief, Athanassios S. Fokas, 2005, Appl. Math. Lett..

On Laplace–Darboux-type sequences of generalized Weingarten surfaces

W. Schief, 2000 .

On a Laplace Sequence of Nonlinear Integrable Ernst-Type Equations

C. Rogers, W. Schief, 1997 .

ON TWO-PULSE INTERACTION IN A CLASS OF MODEL ELASTIC MATERIALS

C. Rogers, A. Mentrelli, W. Schief, 2008 .

On two-Pulse and Shock Evolution in a Class of Ideally Hard Elastic Materials

C. Rogers, T. Ruggeri, A. Mentrelli, 2007 .

Loop soliton interaction in an integrable nonlinear telegraphy model: reciprocal and Bäcklund transformations

C. Rogers, W. Schief, A. Szereszewski, 2010 .

On a Boussinesq Capillarity System: Hamiltonian Reductions and Associated Quartic Geometries

C. Rogers, W. Schief, 2014 .

A two-dimensional magnetohydrodynamic system: geometric decomposition and canonical reduction

C. Rogers, W. Schief, 2022, Meccanica.

On 2+1-dimensional fibre-reinforced fluid motions: a magnetohydrodynamics nexus

C. Rogers, W. Schief, D. Demskoi, 2022, Acta Mechanica.

The Da Rios system under a geometric constraint: the Gilbarg problem

C. Rogers, W. Schief, 2005 .

Nested toroidal flux surfaces in magnetohydrostatics. Generation via soliton theory

W. Schief, 2003, Journal of Plasma Physics.

A truncated Painlevé expansion associated with the Tzitzéica equation: consistency and general solution

W. Schief, S. Meleshko, 2002 .

Relativistic perfect fluids: integrability of the classical Taub system

C. Rogers, W. Schief, 2023, Proceedings of the Royal Society A.

ON THE KINEMATICS OF 2+1-DIMENSIONAL MOTIONS OF A FIBRE-REINFORCED FLUID. INTEGRABLE CONNECTIONS

C. Rogers, W. Schief, S. Murugesh, 2007 .

On Complex-Lamellar Motion of a Prim Gas☆

C. Rogers, W. Hui, W. Schief, 2002 .

On Mutually Diagonal Nets on (Confocal) Quadrics and 3-Dimensional Webs

Arseniy V. Akopyan, Wolfgang K. Schief, Alexander I. Bobenko, 2019, Discrete & Computational Geometry.

Gaussian and mean curvatures for discrete asymptotic nets

W. Schief, 2017 .

The Lamé equation in shell membrane theory

Wolfgang K. Schief, Colin Rogers, C. Rogers, 2007 .

The Kinematics of the Planar Motion of Ideal Fiber-Reinforced Fluids: An Integrable Reduction and Bäcklund Transformation

C. Rogers, W. Schief, 2003 .

The Painlevé III, V and VI transcendents as solutions of the Einstein–Weyl equations

W. Schief, 2000 .

Critical points, Lauricella functions and Whitham-type equations

B. Konopelchenko, Y. Kodama, W. Schief, 2014, 1411.5856.

Checkerboard incircular nets: Laguerre geometry and parametrisation

A. Bobenko, W. Schief, Jan Techter, 2019, Geometriae Dedicata.

Symmetries and Integrability of Difference Equations: Self-dual Einstein spaces and a discrete Tzitzeica equation, a permutability theorem link

W. Schief, 1999 .

On a discretization of confocal quadrics. I. An integrable systems approach

A. Bobenko, Y. Suris, W. Schief, 2015, 1511.01777.

Bäcklund and Darboux Transformations: Geometry and Modern Applications in Soliton Theory

C. Rogers, W. Schief, 2002 .

On non-steady planar motions of fibre-reinforced fluids. Geometry and integrable structure

W. Schief, D. Demskoi, 2020, Journal of Physics A: Mathematical and Theoretical.

Self-dual Einstein spaces and the general heavenly equation. Eigenfunctions as coordinates

W. Schief, A. Szereszewski, Boris Konopelchenko, 2020, Classical and Quantum Gravity.

On the integrability of a Hamiltonian reduction of a 2+1-dimensional non-isothermal rotating gas cloud system

W. Schief, C. Rogers, W. Schief, 2011 .

On shell membranes of Enneper type: generalized Dupin cyclides

C. Rogers, W. Schief, C. Rogers, 2009 .

Doubly periodic and multiple pole solutions of the sinh-Poisson equation: application of reciprocal transformations in subsonic gas dynamics

Wolfgang K. Schief, Colin Rogers, C. Rogers, 2006 .

On the equilibrium of shell membranes under normal loading. Hidden integrability

Wolfgang K. Schief, Colin Rogers, W. Schief, 2003, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

Wave propagation in ideally hard inhomogeneous elastic materials associated with pseudospherical surfaces

C. Rogers, J. Wylie, W. Schief, 2003 .

Termination of Bergman series. Connection to the Bn Toda System

J. Nimmo, W. Schief, C. Rogers, 1999 .

On a 2 + 1-dimensional Darboux system: Integrable and geometric connections

C. Rogers, W. Schief, S. P. Tsarev, 1995 .

Prolongation structures for Harry Dym type equations and Backlund transformations of CC ideals

W. Schief, C. Hoenselaers, 1992 .

On the Integrability of Infinitesimal and Finite Deformations of Polyhedral Surfaces

Tim Hoffmann, Wolfgang K. Schief, Alexander I. Bobenko, 2008 .

Bäcklund and Darboux Transformations: Preface

C. Rogers, W. Schief, 2002 .

On a 2+1-dimensional Darboux system: integrable reductions

W. Schief, 1994 .

Generalized Darboux and Darboux-Levi transformations in 2+1 dimensions

W. Schief, 1992 .

On the Combinatorics of Demoulin Transforms and (Discrete) Projective Minimal Surfaces

W. Schief, Alan McCarthy, 2016, Discrete & Computational Geometry.

Discrete Indeenite Aane Spheres

W. Schief, SpheresAlexander I. Bobenko, 2010 .

On q-Gaussian Integrable Hamiltonian Reductions in Anisentropic Magneto-gasdynamics

C. Rogers, W. Schief, 2014 .