Select Publications
Journal articles
, 1994, 'SQUARED EIGENFUNCTIONS OF THE (MODIFIED) KP HIERARCHY AND SCATTERING PROBLEMS OF LOEWNER TYPE', Reviews in Mathematical Physics, 06, pp. 1301 - 1338, http://dx.doi.org/10.1142/s0129055x94000468
, 1992, 'A (2+1)-dimensional sine-Gordon system: its auto-Bäcklund transformation', Physics Letters A, 172, pp. 39 - 48, http://dx.doi.org/10.1016/0375-9601(92)90186-P
, 1992, 'On localized solitonic solutions of a (2+1)-dimensional sine-Gordon system', Journal of Physics A Mathematical and General, 25, pp. L1351 - L1354, 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