Select Publications
Journal articles
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
,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
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
,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
,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
,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
,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
,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
,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
,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
,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
,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
,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
2024, Affine manifolds: The differential geometry of the multi-dimensionally consistent TED equation, http://dx.doi.org/10.48550/arxiv.2402.11779
,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
,2021, On non-steady planar motions of fibre-reinforced fluids. Geometry and integrable structure, http://dx.doi.org/10.48550/arxiv.2111.07582
,2020, Self-dual Einstein spaces and the general heavenly equation. Eigenfunctions as coordinates, http://dx.doi.org/10.48550/arxiv.2008.07261
,2019, On mutually diagonal nets on (confocal) quadrics and 3-dimensional webs, http://dx.doi.org/10.48550/arxiv.1908.00856
,2019, On an integrable multi-dimensionally consistent 2n+2n-dimensional heavenly-type equation, http://dx.doi.org/10.48550/arxiv.1902.06045
,2018, Checkerboard incircular nets. Laguerre geometry and parametrisation, http://dx.doi.org/10.48550/arxiv.1808.07254
,2018, Log-Aesthetic Curves: Similarity Geometry, Integrable Discretization and Variational Principles, http://dx.doi.org/10.48550/arxiv.1808.03104
,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
,2017, Log-aesthetic Curves as Similarity Geometric Analogue of Euler's Elasticae, http://dx.doi.org/10.48550/arxiv.1711.09549
,2017, On a discretization of confocal quadrics. II. A geometric approach to general parametrizations, http://dx.doi.org/10.48550/arxiv.1708.06800
,2015, On a discretization of confocal quadrics. I. An integrable systems approach, http://dx.doi.org/10.48550/arxiv.1511.01777
,2015, Circle complexes and the discrete CKP equation, http://dx.doi.org/10.48550/arxiv.1509.04109
,2014, Integrable discretization of hodograph-type systems, hyperelliptic integrals and Whitham equations, http://dx.doi.org/10.48550/arxiv.1411.7597
,2014, Critical points, Lauricella functions and Whitham-type equations, http://dx.doi.org/10.48550/arxiv.1411.5856
,2014, Discrete line complexes and integrable evolution of minors, http://dx.doi.org/10.48550/arxiv.1410.5794
,2013, On Weingarten transformations of hyperbolic nets, http://dx.doi.org/10.48550/arxiv.1305.4783
,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
,2007, Painlevé structure of a multi-ion electrodiffusion system, http://dx.doi.org/10.48550/arxiv.0711.0615
,2001, Menelaus' theorem, Clifford configurations and inversive geometry of the Schwarzian KP hierarchy, http://dx.doi.org/10.48550/arxiv.nlin/0105023
,Rom Simulation with Exact Means, Covariances, and Multivariate Skewness, http://dx.doi.org/10.2139/ssrn.2816279
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