Research

Image Integrable systems
Soliton theory
Differential geometry
Discrete differential geometry
Continuum mechanics
General relativity

Publications

Books

1. C. Rogers and W.K. Schief, Bäcklund and Darboux Transformations. Geometry and Modern Applications in Soliton Theory, Cambridge Texts in Applied Mathematics, Cambridge University Press (2002).

2. C. Rogers and W.K. Schief, Bäcklund and Darboux Transformations. Geometry and Modern Applications in Soliton Theory [Chinese Edition, translated by Z.X. Zhou], Science Press/Cambridge University Press (2015).

Articles in Journals and Books

1. C. Hoenselaers and W.K. Schief, Prolongation structures for Harry Dym type equations and Bäcklund transformations of cc ideals, J. Phys. A: Math. Gen. 25 (1992) 601-622.

2. B.G. Konopelchenko, W.K. Schief and C. Rogers, A 2+1-dimensional sine-Gordon system: Its auto-Bäcklund transformation, Phys. Lett. A 172 (1992) 39-48.

3. W.K. Schief, On localized solitonic solutions of a 2+1-dimensional sine-Gordon system, J. Phys. A: Math. Gen. 25 (1992) L1351-L1354.

4. W. Oevel and W.K. Schief, Darboux theorems and the KP hierarchy, in Applications of Analytic and Geometric Methods to Nonlinear Differential Equations, P.A. Clarkson, ed, Kluwer Academic Publishers, Dordrecht (1993) 192-206.

5. M.P. Stallybrass, C. Rogers and W.K. Schief, The 2+1-dimensional Sawada-Kotera equation. Associated initial/boundary value problems and Darboux-Levi transformations, in Proc. 14th IMACS World Congress, Atlanta, GA (1994) 444-447.

6. M. Johnston, C. Rogers and W.K. Schief, Generation of breather surfaces - application of a classical Bäcklund transformation, in Proc. 14th IMACS World Congress, Atlanta, GA (1994) 243-246.

7. C. Hoenselaers, R. Ferwagner and W.K. Schief, On the equations for twisting type N and rigidly rotating perfect fluid solutions, in Relativity Today, Proc. 4th Hungarian Relativity Meeting, R.P. Kerr, ed, World Scientific, Singapore (1994) 47-55.

8. W.K. Schief, Bäcklund transformations for the (un)pumped Maxwell-Bloch system and the fifth Painlevé equation, J. Phys. A: Math. Gen. 27 (1994) 547-557.

9. W.K. Schief and C. Rogers, The affinsphären equation. Moutard and Bäcklund transformations, Inverse Problems 10 (1994) 711-731.

10. W.K. Schief, On a 2+1-dimensional integrable Ernst-type equation, Proc. R. Soc. London A 446 (1994) 381-398.

11. M.E. Johnston, C. Rogers, W.K. Schief and W. Seiler, On moving pseudospherical surfaces: A generalized Weingarten system and its formal analysis, Lie Groups and Their Applications 1 (1994) 124-136.

12. W.K. Schief, On a 2+1-dimensional Darboux system: Integrable reductions, Inverse Problems 10 (1994) 1185-1198.

13. W. Oevel and W. Schief, Squared eigenfunctions of the (modified) KP hierarchy and scattering problems of Loewner type, Rev. Math. Phys. 6 (1994) 1301-1338.

14. W.K. Schief, C. Rogers and M.E. Johnston, On hyperbolic surfaces: moving triad and Loewner system connections, Chaos, Solitons and Fractals 5 (1995) 25-34.

15. W.K. Schief, An infinite hierarchy of symmetries associated with hyperbolic surfaces, Nonlinearity 8 (1995) 1-9.

16. C. Rogers, W.K. Schief and M.P. Stallybrass, Initial/boundary value problems and Darboux-Levi-type transformations associated with a 2+1-dimensional eigenfunction equation, Int. J. Non-Linear Mech. 30 (1995) 223-233.

17. W.K. Schief, C. Rogers, and S.P. Tsarev, On a 2+1-dimensional Darboux system: Integrable and geometric connections, Chaos, Solitons and Fractals 5 (1995) 2357-2366.

18. C. Rogers and W.K. Schief, On generalized Ermakov systems, in Proc. Nonlinear Physics, Theory and Experiment, E. Alfinito, M. Boiti, L. Martina and F. Pempinelli, eds, World Scientific, Singapore (1996) 278-285.

19. W.K. Schief and C. Rogers, The geometry of the LKR system. Application of a Laplace-Darboux-type transformation to Ernst-type equations, in Proc. Nonlinear Physics, Theory and Experiment, E. Alfinito, M. Boiti, L. Martina and F. Pempinelli, eds, World Scientific, Singapore (1996) 305-312.

20. W.K. Schief and C. Rogers, On a Laplace sequence of nonlinear integrable Ernst-type equations, in A. Fokas and I.M. Gelfand, eds, Algebraic Aspects of Integrable Systems: In Memory of Irene Dorfman, Prog. Nonlinear Diff. Eq. 26 (1996) 315-321.

21. C. Rogers and W.K. Schief, Multi-component Ermakov systems. Structure and linearization, J. Math. Anal. Appl. 198 (1996) 194-220.

22. C. Rogers, B.G. Konopelchenko, M.P. Stallybrass and W.K. Schief, The Nizhnik-Veselov-Novikov equation. Associated boundary value problems, Int. J. Non-Linear Mech. 31 (1996) 441-450.

23. W.K. Schief, C. Rogers and A.P. Bassom, Ermakov systems of arbitrary order and dimension: Structure and linearization, J. Phys. A: Math. Gen. 29 (1996) 903-911.

24. W.K. Schief, The Tzitzeica equation: A Bäcklund transformation interpreted as truncated Painlevé expansion, J. Phys. A: Math. Gen. 29 (1996) 5153-5155.

25. W.K. Schief, Self-dual Einstein spaces via a permutability theorem for the Tzitzeica equation, Phys. Lett. A 223 (1996) 55-62.

26. W.K. Schief and C. Rogers, Integration of Finite Loewner Transformations. Darboux Connections, In Modern Group Analysis VI, Developments in Theory, Computation and Application, H.H. Ibragimov and F.M. Mahomed, eds, New Age International Publishers, New Delhi (1997) 289-311.

27. J.J.C. Nimmo and W.K. Schief, Superposition principles associated with the Moutard transformation: an integrable discretization of a 2+1-dimensional sine-Gordon system, Proc. R. Soc. London A 453 (1997) 255-279.

28. W.K. Schief, A discrete Pinney equation, Appl. Math. Lett. 10 (1997) 13-15.

29. C. Rogers and W.K. Schief, The classical Bäcklund transformation and integrable discretisation of characteristic equations, Phys. Lett. A 232 (1997) 217-223.

30. W.K. Schief, On the geometry of an integrable 2+1-dimensional sine-Gordon system, Proc. R. Soc. London A 453 (1997) 1671-1688.

31. L.K. Antanovskii, C. Rogers and W.K. Schief, A note on a capillarity model and the nonlinear Schrödinger equation, J. Phys. A: Math. Gen. 30 (1997) L555-L557.

32. C. Rogers, W.K. Schief and P. Winternitz, Lie-theoretical generalization and discretization of the Pinney equation, J. Math. Anal. Appl. 216 (1997) 246-264.

33. W.K. Schief, An integrable discretization of the characteristic equations associated with a gasdynamics system, Phys. Lett. A 238 (1998) 278-282.

34. J.J.C. Nimmo and W.K. Schief, An integrable discretization of a 2+1-dimensional sine-Gordon equation, Stud. Appl. Math. 100 (1998) 295-309.

35. W.K. Schief and C. Rogers, Loewner transformations. Adjoint and binary Darboux connections, Stud. Appl. Math. 100 (1998) 391-422.

36. C. Rogers and W.K. Schief, Intrinsic geometry of the NLS equation and its auto-Bäcklund transformation, Stud. Appl. Math. 101 (1998) 267-287.

37. B.G. Konopelchenko andW.K. Schief, Three-dimensional integrable lattices in Euclidean spaces: conjugacy and orthogonality, Proc. R. Soc. London A 454 (1998) 3075-3104.

38. E.V. Ferapontov, C. Rogers and W.K. Schief, Reciprocal transformations of two-component hyperbolic systems and their invariants, J. Math. Anal. Appl. 228 (1998) 365-376.

39. W.K. Schief, Self-dual Einstein spaces and a discrete Tzitzeica equation. A permutability theorem link, In Symmetries and Integrability of Difference Equations, P. Clarkson and F. Nijhoff, eds, London Mathematical Society, Lecture Note Series 255, Cambridge University Press (1999) 137-148.

40. A.I. Bobenko and W.K. Schief, Discrete indefinite affine spheres, in A. Bobenko and R. Seiler, eds, Discrete Integrable Geometry and Physics, Oxford University Press (1999) 113-138.

41. A.I. Bobenko and W.K. Schief, Affine spheres: discretization via duality relations, Exp. Math. 8 (1999) 261-280.

42. E.V. Ferapontov and W.K. Schief, Surfaces of Demoulin: differential geometry, Bäcklund transformation and integrability, J. Geom. Phys. 30 (1999) 343-363.

43. B.G. Konopelchenko and W.K. Schief, Trapezoidal discrete surfaces. Geometry and integrability, J. Geom. Phys. 31 (1999) 75-95.

44. W.K. Schief and C. Rogers, Binormal motion of curves of constant curvature and torsion. Generation of soliton surfaces, Proc. R. Soc. London A 455 (1999) 3163-3188.

45. J.J.C. Nimmo, W.K. Schief and C. Rogers, Termination of Bergman series. Connection to the Bn Toda system, J. Eng. Math. 36 (1999) 137-148.

46. C. Rogers, A.P. Bassom and W.K. Schief, On a Painlevé II model in steady electrolysis: application of a Bäcklund transformation, J. Math. Anal. Appl. 240 (1999) 367-381.

47. C. Rogers and W.K. Schief, The resonant nonlinear Schrödinger equation via an integrable capillarity model, Il Nuovo Cimento B 114 (1999) 1409-1412.

48. W.K. Schief, The trajectories of fluid particles in certain motions of classical hydrodynamics, in M. Boiti, L. Martina, F. Pempinelli and G. Soliani, eds, Proc. Nonlinearity, Integrability and All That. Twenty Years After NEEDS'79, World Scientific, Singapore (2000) 523-529.

49. W.K. Schief and B.G. Konopelchenko, Discrete surfaces of revolution, CRM Proceedings and Lecture Notes 25 (2000) 381-400.

50. C. Rogers, W.K. Schief and M.E. Johnston, Bäcklund and his works. Applications in Soliton Theory, in P.J. Vassiliou and I.G. Lisle, eds, Geometric Approaches to Differential Equations, Australian Mathematical Society Lecture Series 15 (2000) 16-55.

51. W.K. Schief, Hyperbolic surfaces in centro-affine geometry. Integrability and discretization, Chaos, Solitons and Fractals 11 (2000) 97-106.

52. W.K. Schief and C. Rogers, Bäcklund transformations and the integrable discretisation of characteristic equations, Chaos, Solitons and Fractals 11 (2000) 107-113.

53. W.K. Schief, The Painlevé III, V and VI transcendents as solutions of the Einstein-Weyl equations, Phys. Lett. A 267 (2000) 265-275.

54. W.K. Schief, On Laplace-Darboux-type sequences of generalized Weingarten surfaces, J. Math. Phys. 41 (2000) 6566-6599.

55. C. Rogers and W.K. Schief, On geodesic hydrodynamic motions. Heisenberg spin connections, J. Math. Anal. Appl. 251 (2000) 855-870.

56. W.K. Schief, Isothermic surfaces and the Calapso equation: The Full Monty, in Bäcklund and Darboux Transformations: The Geometry of Solitons, CRM Proceedings & Lecture Notes 29, Cambridge University Press (2001) 393-403.

57. W.K. Schief, An introduction to integrable difference and differential geometries: affine spheres, their natural generalization and discretization, in Bäcklund and Darboux Transformations: The Geometry of Solitons, CRM Proceedings & Lecture Notes 29 (2001) 69-88.

58. C. Rogers and W.K. Schief, Infinitesimal Bäcklund transformations of K-nets. The 2+1-dimensional sinh-Gordon system, in Bäcklund and Darboux Transformations: The Geometry of Solitons, CRM Proceedings & Lecture Notes 29 (2001) 385-392.

59. C. Rogers and W.K. Schief, The classical geometry of Bäcklund transformations. Introduction to applications in soliton theory, in Bäcklund and Darboux Transformations: The Geometry of Solitons, CRM Proceedings & Lecture Notes 29 (2001) 53-67.

60. W.K. Schief, Isothermic surfaces in spaces of arbitrary dimension: Integrability, discretization and Bäcklund transformations. A discrete Calapso equation, Stud. Appl. Math. 106 (2001) 85-137.

61. W.K. Schief, A unified approach to infinitesimal Loewner and Geroch transformations and the Ernst and Einstein-Maxwell equations, J. Phys. A: Math. Gen. 34 (2001) 8659-8671.

62. C. Rogers, W.K. Schief and W.H. Hui, On complex-lamellar motion of a Prim gas, J. Math. Anal. Appl. 266 (2002) 55-69.

63. W.K. Schief, On the geometry of the Painlevé V equation and a Bäcklund transformation, ANZIAM J. 44 (2002) 141-148.

64. A. Degasperis, C. Rogers and W.K. Schief, Isothermic surfaces generated via Bäcklund and Moutard transformations. Boomeron and zoomeron connections, Stud. Appl. Math. 109 (2002) 39-65.

65. B.G. Konopelchenko and W.K. Schief, Reciprocal figures, graphical statics and inversive geometry of the Schwarzian BKP hierarchy, Stud. Appl. Math. 109 (2002) 89-124.

66. S. Meleshko and W.K. Schief, A truncated Painlevé expansion associated with the Tzitzéica equation: Consistency and general solution, Phys. Lett. A 299 (2002) 349-352.

67. B.G. Konopelchenko and W.K. Schief, Menelaus' theorem, Clifford configurations and inversive geometry of the Schwarzian KP hierarchy, J. Phys. A: Math. Gen. 35 (2002) 6125-6144.

68. W.K. Schief, On the integrability of Bertrand curves and Razzaboni surfaces, J. Geom. Phys. 45 (2003) 130-150.

69. W.K. Schief and B.G. Konopelchenko, On the unification of classical and novel integrable surfaces: I. Differential geometry, Proc. R. Soc. London A 459 (2003) 67-84.

70. W.K. Schief, On the unification of classical and novel integrable surfaces: II. Difference geometry, Proc. R. Soc. London A 459 (2003) 373-391.

71. A.D. King and W.K. Schief, Tetrahedra, octahedra and cubo-octahedra: integrable geometry of multiratios, J. Phys. A: Math. Gen. 36 (2003) 785-802.

72. C. Rogers and W.K. Schief, On the equilibrium of shell membranes under normal loading. Hidden integrability, Proc. R. Soc. London A 459 (2003) 2449-2462.

73. C. Rogers, W.K. Schief and J. Wylie, Wave propagation in ideally hard inhomogeneous elastic materials associated with pseudospherical surfaces, Int. J. Eng. Science 41 (2003) 1965-1974.

74. W.K. Schief, Hidden integrability in ideal magnetohydrodynamics. The Pohlmeyer-Lund-Regge model, Phys. Plasmas 10 (2003) 2677-2685.

75. C. Rogers and W.K. Schief, Novel integrable reductions in nonlinear continuum mechanics via geometric constraints, J. Math. Phys. 44 (2003) 3341-3369.

76. W.K. Schief, Lattice geometry of the discrete Darboux, KP, BKP and CKP equations. Menelaus' and Carnot's theorems, J. Nonlinear Math. Phys. 10 (Supplement 2) (2003) 194-208.

77. C. Rogers andW.K. Schief, The kinematics of the planar motion of ideal fibre-reinforced fluids. An integrable reduction and Bäcklund transformation, Theor. Math. Phys. 137 (2003) 1598-1608.

78. W.K. Schief, Nested toroidal flux surfaces in magnetohydrostatics. Generation via soliton theory, J. Plasma Phys. 69 (2003) 465-484.

79. S.-Y. Lou, C. Rogers and W.K. Schief, Virasoro structure and localised excitations of the LKR system, J. Math. Phys. 44 (2003) 5869-5887.

80. W.K. Schief and C. Rogers, The kinematics of fibre-reinforced fluids. An integrable reduction, Quart. J. Mech. Appl. Math. 56 (2003) 493-512.

81. S.Y. Lou, C. Rogers and W.K. Schief, On a nonlinear discretized LKR system: reductions and underlying Virasoro symmetry algebras, Stud. Appl. Math. 113 (2004) 353-380.

82. C. Rogers and W.K. Schief, Hidden integrability in subsonic gasdynamics. Reciprocal vortex street generation, Int. J. Eng. Science 42 (2004) 2065-2078.

83. C. Rogers, W.K. Schief, Vortex trains in super-Alfvénic magnetogasdynamics. Application of reciprocal-Bäcklund transformations, J. Nonlinear Math. Phys. 12 (Supplement 1) (2005) 548-564.

84. A.S. Fokas, C. Rogers and W.K. Schief, Evolution of methacrylate distribution during wood saturation, Appl. Math. Lett. 18 (2005) 321-328.

85. W.K. Schief and C. Rogers, The Da Rios system under a geometric constraint. The Gilbarg problem, J. Geom. Phys. 54 (2005) 286-300.

86. C. Rogers, W.K. Schief, K.W. Chow and C.C. Mak, On Tzitzéica vortex streets and their reciprocals in subsonic gasdynamics, Stud. Appl. Math. 114 (2005) 271-283.

87. B.G. Konopelchenko and W.K. Schief, Conformal geometry of the (discrete) Schwarzian Davey-Stewartson II hierarchy, Glasgow Math. J. 47A (2005) 121-131.

88. W.K. Schief, Integrable discrete differential geometry of 'plated' membranes in equilibrium, Proc. R. Soc. London A 461 (2005) 3213-3229.

89. W.K. Schief, M. Kléman and C. Rogers, On a nonlinear elastic shell system in liquid crystal theory: generalised Willmore surfaces and Dupin cyclides, Proc. R. Soc. London A 461 (2005) 2817-2837.

90. W.K. Schief, On a maximum principle for minimal surfaces and their integrable discrete counterparts, J. Geom. Phys. 56 (2006) 1484-1495.

91. C.W. McMonnies and W.K. Schief, Biomechanically coupled curvature transfer in normal and keratoconus corneal collagen, Eye & Contact Lens 32 (2006) 51-62.

92. A.D. King and W.K. Schief, Application of an incidence theorem for conics: Cauchy problem and integrability of the dCKP equation, J. Phys. A: Math. Gen. 39 (2006) 1899-1913.

93. K.W. Chow, C.C. Mak, C. Rogers and W.K. Schief, Doubly periodic and multiple pole solutions of the sinh Poisson equation: application of reciprocal transformations in subsonic gasdynamics, J. Comp. Appl. Math. 190 (2006) 114-126.

94. C. Rogers and W.K. Schief, On orthogonal homentropic magnetogasdynamics in two dimensions, Z. angew. Math. Mech. 86 (2006) 464-473.

95. A. Mentrelli, C. Rogers T. Ruggeri and W.K. Schief, On two-pulse and shock evolution in a class of ideally hard elastic materials, in T. Ruggeri and M. Sammartino, eds, Proc. Asymptotic Methods in Nonlinear Wave Phenomena, World Scientific, Singapore (2007) 132-143.

96. J.-H. Lee, O.K. Pashaev, C. Rogers and W.K. Schief, The resonant nonlinear Schrödinger equation in cold plasma physics. Application of Bäcklund-Darboux transformations and superposition principles, J. Plasma Physics 73 (2007) 257-272.

97. W.K. Schief, C. Rogers and S. Murugesh, On the kinematics of 2+1-dimensional motions of a fibrereinforced fluid. Integrable connections, Quart. J. Mech. Appl. Math. 60 (2007) 49-64.

98. W.K. Schief, Discrete Chebyshev nets and a universal permutability theorem, J. Phys. A: Math. Theor. 40 (2007) 4775-4801.

99. W.K. Schief, A. Szereszewski and C. Rogers, The Lamé equation in shell membrane theory, J. Math. Phys. 48 (2007) 073510 (1-23).

100. C. Rogers, W.K. Schief and K.W. Chow, On a novel class of model constitutive laws in nonlinear elasticity. Construction via Loewner theory, Theor. Math. Phys. 152 (2007) 1030-1042.

101. R. Conte, C. Rogers and W.K. Schief, Painlevé structure of a multi-ion electrodiffusion system, J. Phys. A: Math. Theor. 40 (2007) F1031-F1040.

102. A. Mentrelli, C. Rogers and W.K. Schief, On two-pulse interaction in a class of model elastic materials, in N. Manganaro, R. Monaco and S. Rionero, eds, Proc. Waves and Stability in Continuous Media (WASCOM 2007), World Scientific, Singapore (2008) 394-404.

103. W.K. Schief, A.I. Bobenko and T. Hoffmann, On the integrability of infinitesimal and finite deformations of polyhedral surfaces, in A.I. Bobenko, P. Schröder, J.M. Sullivan and G.M. Ziegler, eds, Discrete Differential Geometry, Oberwolfach Seminars 38, Birkhäuser (2008) 67-93.

104. W.K. Schief and B.G. Konopelchenko, A novel generalization of Clifford's classical point-circle configuration. Geometric interpretation of the quaternionic discrete Schwarzian KP equation, Proc. R. Soc. London A 465 (2009) 1291-1308.

105. C. Rogers and W.K. Schief, On a Bernoulli-integrable magnetohydrodynamic system, Z. angew. Math. Phys. 60 (2009) 608-620.

106. W.K. Schief, A. Szereszewski and C. Rogers, On shell membranes of Enneper type: generalised Dupin cyclides, J. Phys. A: Math. Theor. 42 (2009) 404016.1-17.

107. C. Rogers and W.K. Schief, Bäcklund transformations and superposition principles in nonlinear elastodynamics, Stud. Appl. Math. 124 (2010) 137-149.

108. L. Bass, J.J.C. Nimmo, C. Rogers and W.K. Schief, Electrical structures of interfaces. A Painlevé model, Proc. R. Soc. London A 466 (2010) 2117-2136.

109. C. Rogers and W.K. Schief, Integrable structure in the theory of stress concentration in shear-strained nonlinear elastic materials, Stud. Appl. Math. 125 (2010) 39-53.

110. W.K. Schief and C. Rogers, Modulated waves and helicoidal pseudospherical surfaces in nonlinear inhomogeneous elasticity, J. Phys. A: Math. Theor. 43 (2010) 105206.1-12.

111. C. Rogers, W.K. Schief, A. Mentrelli and T. Ruggeri, Application of a Bäcklund transformation in nonlinear elastodynamics. Two-pules interaction, in Proc. Waves and Stability in Continuous Media (WASCOM 2009), World Scientific, Singapore (2010) 270-278.

112. C. Rogers and W.K. Schief, Loop soliton interaction in an integrable nonlinear telegraphy model: reciprocal and Bäcklund transformations, J. Phys. A: Math. Theor. 43 (2010) 385210.1-16.

113. C. Rogers and W.K. Schief, The pulsrodon in 2+1-dimensional magneto-gasdynamics. Hamiltonian structure and integrability, J. Math. Phys. 52 (2011) 083701.1-20.

114. C. Rogers and W.K. Schief, On the integrability of a Hamiltonian reduction of a 2+1-dimensional non-isothermal rotating gas cloud system, Nonlinearity 24 (2011) 3165-3178.

115. A.D. King and W.K. Schief, Clifford configurations and a conformal generalization of Desargues' theorem, J. Geom. Phys. 62 (2012) 1088-1096.

116. W.K. Schief and C. Rogers, The Euler equations of spatial gasdynamics and the integrable Heisenberg spin equation, Stud. Appl. Math. 128 (2012) 407-419.

117. C. Rogers and W.K. Schief, Connection of an integrable inhomogeneous Heisenberg spin equation to a hydrodynamic-type system with collision term, J. Phys. A: Math. Theor. 45 (2012) 432002 (8pp).

118. W.K. Schief, H. An and C. Rogers, Universal and integrable aspects of an elliptic vortex representation in 2+1-dimensional magneto-gasdynamics, Stud. Appl. Math. 130 (2013) 49-79.

119. C. Rogers and W.K. Schief, On a Boussinesq capillarity system: Hamiltonian reductions and associated quartic geometries, Stud. Appl. Math. 132 (2014) 1-12.

120. W.K. Schief, Integrable structure in discrete shell membrane theory, Proc. R. Soc. London A 470 (2014) 20130757 (22 pp).

121. C. Rogers and W.K. Schief, On q-Gaussian integrable Hamiltonian reductions in anisentropic magneto-gasdynamics, Acta Appl. Math. 132 (2014) 515-525.

122. C. Rogers and W.K. Schief, The classical Korteweg capillarity system: geometry and invariant transformations, J. Phys. A: Math. Theor. 47 (2014) 345201 (20 pp).

123. B.G. Konopelchenko and W.K. Schief, Integrable discretisation of hodograph-type systems, hyperelliptic integrals and Whitham equations, Proc. R. Soc. London A 470 (2014) 20140514 (21 pp).

124. A.D. King and W.K. Schief, Bianchi hypercubes and a geometric unification of the Hirota and Miwa equations, Int. Math. Res. Notices 2015 (2015) 6842-6878.

125. A.I. Bobenko and W.K. Schief, Discrete line complexes and integrable evolution of minors, Proc. R. Soc. London A 471 (2015) 20140819 (23 pp).

126. E. Huhnen-Venedey and W.K. Schief, On Weingarten transformations of hyperbolic nets, Int. Math. Res. Notices 2015 (2015) 2021-2081.

127. Y. Kodama, B. Konopelchenko and W.K. Schief, Critical points, Lauricella functions and Whitham-type equations, J. Phys. A: Math. Theor. 48 (2015) 225202 (15 pp).

128. C. Rogers and W.K. Schief, On Ermakov-Painlevé II systems. Integrable reduction, Meccanica 51 (2016) 2967-2974.

129. A.I. Bobenko, W.K. Schief, Y.B. Suris and J. Techter, On a discretization of confocal quadrics. I. An integrable systems approach, J. Integrable Systems 1 (2016) xyw005 (34 pp).

130. A.I. Bobenko and W.K. Schief, Circle complexes and the discrete CKP equation, Int. Math. Res. Notices 2017 (2017) 1504-1561.

131. A. McCarthy and W.K. Schief, On the combinatorics of Demoulin transforms and (discrete) projective minimal surfaces, Discrete and Computational Geometry 57 (2017) 215-230.

132. W.K. Schief, Gaussian and mean curvatures for discrete asymptotic nets, J. Geom. Phys. 114 (2017) 109-123.

133. M. Hanke, S. Penev, W. Schief and A. Weissensteiner, Random orthogonal matrix simulation with exact means, covariances, and multivariate skewness, European Journal of Operational Research 263 (2017) 510-523.

134. C. Rogers and W.K. Schief, On a novel resonant Ermakov-NLS system: Painlevé reduction, to appear.

135. A. McCarthy and W.K. Schief, Discrete projective minimal surfaces, submitted.

136. A.I. Bobenko, W.K. Schief, Y.B. Suris and J. Techter, On a discretization of confocal quadrics. II. A geometric approach to general parametrizations, arXiv:1708.06800 [math.DG], submitted.

Other

1. W.K. Schief and C. Rogers, MAPLE generated soliton surfaces in The Engineering Handbook, CRC Press, Inc., Boca Raton (1995) 2034, 2095.

2. W.K. Schief, The 'Consistency Approach': Application to the discrete differential geometry of 'plated' membranes in equilibrium, Oberwolfach Reports 3, European Mathematical Society (2006).

3. W.K. Schief, Discrete differential geometry: theory and applications, in J. Inoguchi, K. Kajiwara, S. Kakei, N. Matsuura and Y. Ohta, eds., Discrete Integrable Systems and Discrete Differential Geometry 2012, MI Lecture Notes 40, Kyushu University (2012) 127-154.

4. W.K. Schief and T. Hoffmann, Discrete focal surfaces and geodesics, Oberwolfach Reports 9, European Mathematical Society (2012).

5. Wolfgang Schief, Meistersterne in der Fußball-Bundesliga [Championship stars in the German soccer league], Mitt. Dtsch. Math.-Ver. 23 (2015) 84-87.

6. W.K. Schief, Discrete line complexes and integrable evolution of minors, Oberwolfach Reports 12, European Mathematical Society (2015).