On non-multiaffine consistent-around-the-cube lattice equations P Kassotakis, M Nieszporski Physics Letters A 376 (45), 3135-3140, 2012 | 41 | 2012 |
Integrable lattices and their sublattices: From the discrete Moutard (discrete Cauchy-Riemann) 4-point equation to the self-adjoint 5-point scheme A Doliwa, P Grinevich, M Nieszporski, PM Santini Journal of mathematical physics 48 (1), 2007 | 41 | 2007 |
Tetrahedron maps and symmetries of three dimensional integrable discrete equations P Kassotakis, M Nieszporski, V Papageorgiou, A Tongas Journal of Mathematical Physics 60 (12), 2019 | 33 | 2019 |
Multi-quadratic quad equations: integrable cases from a factorized-discriminant hypothesis J Atkinson, M Nieszporski International Mathematics Research Notices 2014 (15), 4215-4240, 2014 | 32 | 2014 |
Families of integrable equations P Kassotakis, M Nieszporski SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 7, 100, 2011 | 21 | 2011 |
Integrable lattices and their sublattices. II. From the B-quadrilateral lattice to the self-adjoint schemes on the triangular and the honeycomb lattices A Doliwa, M Nieszporski, PM Santini Journal of mathematical physics 48 (11), 2007 | 19 | 2007 |
Asymptotic lattices and their integrable reductions: I. The Bianchi-Ernst and the Fubini-Ragazzi lattices A Doliwa, M Nieszporski, PM Santini Journal of Physics A: Mathematical and General 34 (48), 10423, 2001 | 19 | 2001 |
Integrable generalization of the Toda law to the square lattice PM Santini, M Nieszporski, A Doliwa Physical Review E—Statistical, Nonlinear, and Soft Matter Physics 70 (5 …, 2004 | 18 | 2004 |
Difference systems in bond and face variables and non-potential versions of discrete integrable systems P Kassotakis, M Nieszporski Journal of Physics A: Mathematical and Theoretical 51 (38), 385203, 2018 | 16 | 2018 |
Darboux transformations for linear operators on two-dimensional regular lattices A Doliwa, M Nieszporski Journal of Physics A: Mathematical and Theoretical 42 (45), 454001, 2009 | 13 | 2009 |
Darboux transformations for 5-point and 7-point self-adjoint schemes and an integrable discretization of the 2D Schrödinger operator M Nieszporski, PM Santini, A Doliwa Physics Letters A 323 (3-4), 241-250, 2004 | 13 | 2004 |
On a discretization of asymptotic nets M Nieszporski Journal of Geometry and Physics 40 (3-4), 259-276, 2002 | 12 | 2002 |
Integrable two-component systems of difference equations P Kassotakis, M Nieszporski, V Papageorgiou, A Tongas Proceedings of the Royal Society A 476 (2234), 20190668, 2020 | 11 | 2020 |
2n-rational maps P Kassotakis, M Nieszporski Journal of Physics A: Mathematical and Theoretical 50 (21), 21LT01, 2017 | 9 | 2017 |
Integrable dynamics of Toda type on square and triangular lattices PM Santini, A Doliwa, M Nieszporski Physical Review E—Statistical, Nonlinear, and Soft Matter Physics 77 (5 …, 2008 | 9 | 2008 |
Systems of difference equations on a vector valued function that admit a 3D vector space of scalar potentials M Nieszporski, P Kassotakis arXiv preprint math/1908.01706, 2019 | 8 | 2019 |
Geometric discretization of the Bianchi system A Doliwa, M Nieszporski, PM Santini Journal of Geometry and Physics 52 (3), 217-240, 2004 | 6 | 2004 |
Integrable two-component difference systems of equations P Kassotakis, M Nieszporski, V Papageorgiou, A Tongas Proc. R. Soc. A 476, 20190668, 2020 | 5 | 2020 |
Tracking algorithm analysis for the PCL-PET fusion system L Lamentowski, R Mularzuk, T Brenner, M Nieszporski 2015 Signal Processing Symposium (SPSympo), 1-6, 2015 | 5 | 2015 |
Darboux transformations for q-discretizations of 2D second order differential equations P Małkiewicz, M Nieszporski Journal of Nonlinear Mathematical Physics 12 (Suppl 2), 231-239, 2005 | 5 | 2005 |