Coverings and fundamental algebras for partial differential equations S Igonin Journal of Geometry and Physics 56 (6), 939-998, 2006 | 41 | 2006 |
On one-parametric families of Backlund transformations S Igonin, J Krasil'shchik Advanced Studies in Pure Mathematics 37, 99-114, 2002 | 29 | 2002 |
Prolongation structure of the Krichever–Novikov equation S Igonin, R Martini Journal of Physics A: Mathematical and General 35 (46), 9801, 2002 | 25 | 2002 |
Variational multivectors and brackets in the geometry of jet spaces S Igonin, A Verbovetsky, R Vitolo Symmetry in nonlinear mathematical physics (Kiev, 2003). Pr. Inst. Mat. Nats …, 2004 | 16 | 2004 |
On the formalism of local variational differential operators S Igonin, AV Verbovetsky, R Vitolo Department of Applied Mathematics, University of Twente, 2002 | 14 | 2002 |
Lie algebras responsible for zero-curvature representations of scalar evolution equations S Igonin, G Manno Journal of Geometry and Physics 138, 297-316, 2019 | 13 | 2019 |
On symmetries and cohomological invariants of equations possessing flat representations S Igonin, PHM Kersten, I Krasil'shchik Differential Geometry and its Applications 19 (3), 319-342, 2003 | 10 | 2003 |
Yang–Baxter maps, Darboux transformations, and linear approximations of refactorisation problems VM Buchstaber, S Igonin, S Konstantinou-Rizos, MM Preobrazhenskaia Journal of Physics A: Mathematical and Theoretical 53 (50), 504002, 2020 | 9 | 2020 |
Miura type transformations and homogeneous spaces SA Igonin Journal of Physics A: Mathematical and General 38 (20), 4433, 2005 | 9 | 2005 |
Conservation laws for multidimensional systems and related linear algebra problems S Igonin Journal of Physics A: Mathematical and General 35 (49), 10607, 2002 | 9 | 2002 |
Analogues of coverings and the fundamental group for the category of partial differential equations S Igonin Preprint at http://www. math. uu. nl/people/igonin/preprints, 0 | 9 | |
Algebraic and differential-geometric constructions of set-theoretical solutions to the Zamolodchikov tetrahedron equation S Igonin, S Konstantinou-Rizos arXiv preprint arXiv:2110.05998, 2021 | 8 | 2021 |
Miura-type transformations for lattice equations and Lie group actions associated with Darboux–Lax representations G Berkeley, S Igonin Journal of Physics A: Mathematical and Theoretical 49 (27), 275201, 2016 | 8 | 2016 |
Infinite-dimensional prolongation Lie algebras and multicomponent Landau–Lifshitz systems associated with higher genus curves S Igonin, J van de Leur, G Manno, V Trushkov Journal of Geometry and Physics 68, 1-26, 2013 | 8 | 2013 |
On Lie algebras responsible for integrability of (1+ 1)-dimensional scalar evolution PDEs S Igonin, G Manno Journal of Geometry and Physics, 103596, 2020 | 7 | 2020 |
Higher jet prolongation Lie algebras and Backlund transformations for (1+ 1)-dimensional PDEs S Igonin arXiv preprint arXiv:1212.2199, 2012 | 7 | 2012 |
On Lie algebras responsible for zero-curvature representations of multicomponent (1+ 1)-dimensional evolution PDEs S Igonin, G Manno arXiv preprint arXiv:1703.07217, 2017 | 6 | 2017 |
On construction of symmetries and recursion operators from zero-curvature representations and the Darboux–Egoroff system S Igonin, M Marvan Journal of Geometry and Physics 85, 106-123, 2014 | 4 | 2014 |
Horizontal cohomology with coefficients and non-linear zero-curvature representations SA Igonin Russian Mathematical Surveys 58 (1), 180-182, 2003 | 4 | 2003 |
Fundamental Lie algebras for multicomponent Landau-Lifshitz systems S Igonin, G Manno Preprint at www. math. uu. nl/people/igonin/preprints, 0 | 3 | |