Select Publications

Journal articles

Schief WK, 1992, 'On localized solitonic solutions of a (2+1)-dimensional sine-Gordon system', Journal of Physics A: Mathematical and General, 25, http://dx.doi.org/10.1088/0305-4470/25/24/002

Hoenselaers C; Schief WK, 1992, 'Prolongation structures for Harry Dym type equations and Backlund transformations of CC ideals', Journal of Physics A: Mathematical and General, 25, pp. 601 - 622, http://dx.doi.org/10.1088/0305-4470/25/3/018

Conference Papers

Rogers CW; Schief WK; Mentrell A; Ruggeri T, 2009, 'Application of a Backlund transformation in nonlinear elastodynamics. Two-pulse interaction', in Proc. Waves and Stability in Contunuous Media (WASCOM 2009), World Scientific, Singapore, pp. 260 - 269, presented at WASCOM 2009, Palermo, Italy, 28 June 2009 - 01 July 2009

MENTRELLI A; ROGERS C; SCHIEF WK, 2008, 'ON TWO-PULSE INTERACTION IN A CLASS OF MODEL ELASTIC MATERIALS', in Waves and Stability in Continuous Media, WORLD SCIENTIFIC, pp. 394 - 404, presented at Proceedings of the 14th Conference on WASCOM 2007, http://dx.doi.org/10.1142/9789812772350_0055

Mentrelli A; Rogers C; Ruggeri T; Schief WK, 2007, 'On two-pulse and shock evolution in a class of ideally hard elastic materials', in Asymptotic Methods in Nonlinear Wave Phenomena - In Honor of the 65th Birthday of Antonio Greco, pp. 132 - 143, http://dx.doi.org/10.1142/9789812708908_0012

Rogers CW; Schief WK; Johnston ME, 2000, 'Backlund and his works:applications in soliton theory', in Miniworkshop in geometry and differential equations, Canberra, presented at Miniworkshop in geometry and differential equations, Canberra, 01 May 2000 - 05 May 2000

Schief WK, 1999, 'The trajectories of fluid particles in certain motions of classical hyrodynamics', in Boiti M; Martina L; Pempinelli F; Prinari B; Soliani G (eds.), workshop on nonlinearity, integrability and all that: twenty years after NEEDS `79, Lecce-Otranto, Italy, pp. 523 - 529, presented at workshop on nonlinearity, integrability and all that: twenty years after NEEDS `79, Lecce-Otranto, Italy, 01 July 1999 - 10 July 1999

Schief WK, 1996, 'Self-dual Einstein spaces and a discrete Tzitzeica equation. A permutability theorem', in Symmetries and integrability of difference equations 2, University of Kent, Canterbury, presented at Symmetries and integrability of difference equations 2, University of Kent, Canterbury, 01 July 1996 - 05 July 1996

Schief WK; Rogers CW, 1996, 'Integration of finite Loewner transformations. Darboux connections', in Ibragimov NH; Mahomed FM (ed.), Intern. Conference in the New South Africa, pp. 289 - 311, presented at Intern. Conference in the New South Africa, 15 January 1996 - 20 January 1996

Rogers CW; Schief WK, 1995, 'On generalized Ermakov systems', in 1st Workshop on nonlinear physics theory and experiments, Italy, presented at 1st Workshop on nonlinear physics theory and experiments, Italy, 29 June 1995 - 07 July 1995

Rogers CW; Schief WK, 1995, 'On generalized Ermakov sytsems', in Alfinito E; Boiti M; Martina L; Pempinelli F (eds.), 1st Workshop on nonlinear physics theory and experiments, Italy, pp. 278 - 285, presented at 1st Workshop on nonlinear physics theory and experiments, Italy, 29 June 1995 - 07 July 1995

Schief WK; Rogers CW, 1995, 'The geometry of the LKR system applicatin of a Laplace-Darboux-type transformation to Ernst-type equations', in 1st Workshop on nonlinear physics theory and experiments, Italy, presented at 1st Workshop on nonlinear physics theory and experiments, Italy, 29 June 1995 - 07 July 1995

Schief WK; Rogers CW, 1995, 'The geometry of the LKR system. Appl. of a Laplace-Darboux transformation to Ernst-Type equations', in Alfinito E; Boiti M; Martina L; Pempinelli F (eds.), 1st Workshop on nonlinear physics theory and experiments, Italy, pp. 305 - 312, presented at 1st Workshop on nonlinear physics theory and experiments, Italy, 29 June 1995 - 07 July 1995

Preprints

Schief WK; Hertrich-Jeromin U; Konopelchenko BG, 2024, Affine manifolds: The differential geometry of the multi-dimensionally consistent TED equation, http://dx.doi.org/10.48550/arxiv.2402.11779

Demskoi DK; Schief WK, 2021, On steady motions of an ideal fibre-reinforced fluid in a curved stratum. Geometry and integrability, http://dx.doi.org/10.48550/arxiv.2111.08880

Demskoi DK; Schief WK, 2021, On non-steady planar motions of fibre-reinforced fluids. Geometry and integrable structure, http://dx.doi.org/10.48550/arxiv.2111.07582

Konopelchenko BG; Schief WK; Szereszewski A, 2020, Self-dual Einstein spaces and the general heavenly equation. Eigenfunctions as coordinates, http://dx.doi.org/10.48550/arxiv.2008.07261

Akopyan AV; Bobenko AI; Schief WK; Techter J, 2019, On mutually diagonal nets on (confocal) quadrics and 3-dimensional webs, http://dx.doi.org/10.48550/arxiv.1908.00856

Konopelchenko BG; Schief WK, 2019, On an integrable multi-dimensionally consistent 2n+2n-dimensional heavenly-type equation, http://dx.doi.org/10.48550/arxiv.1902.06045

Bobenko AI; Schief WK; Techter J, 2018, Checkerboard incircular nets. Laguerre geometry and parametrisation, http://dx.doi.org/10.48550/arxiv.1808.07254

Inoguchi J-I; Jikumaru Y; Kajiwara K; Miura KT; Schief WK, 2018, Log-Aesthetic Curves: Similarity Geometry, Integrable Discretization and Variational Principles, http://dx.doi.org/10.48550/arxiv.1808.03104

Schief WK; Szereszewski A, 2018, Surface theory in discrete projective differential geometry. I. A canonical frame and an integrable discrete Demoulin system, http://dx.doi.org/10.48550/arxiv.1801.08339

Inoguchi J-I; Kajiwara K; Miura KT; Sato M; Schief WK; Shimizu Y, 2017, Log-aesthetic Curves as Similarity Geometric Analogue of Euler's Elasticae, http://dx.doi.org/10.48550/arxiv.1711.09549

Bobenko AI; Schief WK; Suris YB; Techter J, 2017, On a discretization of confocal quadrics. II. A geometric approach to general parametrizations, http://dx.doi.org/10.48550/arxiv.1708.06800

Bobenko AI; Schief WK; Suris YB; Techter J, 2015, On a discretization of confocal quadrics. I. An integrable systems approach, http://dx.doi.org/10.48550/arxiv.1511.01777

Bobenko AI; Schief WK, 2015, Circle complexes and the discrete CKP equation, http://dx.doi.org/10.48550/arxiv.1509.04109

Konopelchenko BG; Schief WK, 2014, Integrable discretization of hodograph-type systems, hyperelliptic integrals and Whitham equations, http://dx.doi.org/10.48550/arxiv.1411.7597

Kodama Y; Konopelchenko B; Schief WK, 2014, Critical points, Lauricella functions and Whitham-type equations, http://dx.doi.org/10.48550/arxiv.1411.5856

Bobenko AI; Schief WK, 2014, Discrete line complexes and integrable evolution of minors, http://dx.doi.org/10.48550/arxiv.1410.5794

Huhnen-Venedey E; Schief WK, 2013, On Weingarten transformations of hyperbolic nets, http://dx.doi.org/10.48550/arxiv.1305.4783

Schief WK; Konopelchenko BG, 2008, A novel generalization of Clifford's classical point-circle configuration. Geometric interpretation of the quaternionic discrete Schwarzian KP equation, http://dx.doi.org/10.48550/arxiv.0810.5668

Conte R; Rogers C; Schief W, 2007, Painlevé structure of a multi-ion electrodiffusion system, http://dx.doi.org/10.48550/arxiv.0711.0615

Konopelchenko BG; Schief WK, 2001, Menelaus' theorem, Clifford configurations and inversive geometry of the Schwarzian KP hierarchy, http://dx.doi.org/10.48550/arxiv.nlin/0105023

Hanke M; Schief W; Weissensteiner A, Rom Simulation with Exact Means, Covariances, and Multivariate Skewness, http://dx.doi.org/10.2139/ssrn.2816279


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