A simple construction of recursion operators for multidimensional dispersionless integrable systems A Sergyeyev Journal of Mathematical Analysis and Applications 454 (2), 468-480, 2017 | 65* | 2017 |
New integrable (3+1)-dimensional systems and contact geometry A Sergyeyev Letters in Mathematical Physics 108 (2), 359–376, 2018 | 63 | 2018 |
Ordering of two small parameters in the shallow water wave problem G Burde, A Sergyeyev J. Phys. A: Math. Theor. 46 (7), 075501, 2013 | 52 | 2013 |
Complete set of commuting symmetry operators for the Klein-Gordon equation<? format?> in generalized higher-dimensional Kerr-NUT-(A) dS spacetimes A Sergyeyev, P Krtouš Physical Review D—Particles, Fields, Gravitation, and Cosmology 77 (4), 044033, 2008 | 52 | 2008 |
The four-dimensional Martínez Alonso–Shabat equation: reductions and nonlocal symmetries OI Morozov, A Sergyeyev Journal of Geometry and Physics 85, 40-45, 2014 | 51 | 2014 |
Why nonlocal recursion operators produce local symmetries: new results and applications A Sergyeyev Journal of Physics A: Mathematical and General 38 (15), 3397, 2005 | 49 | 2005 |
Generalized Stäckel transform and reciprocal transformations for finite-dimensional integrable systems A Sergyeyev, M Błaszak Journal of Physics A: Mathematical and Theoretical 41 (10), 105205, 2008 | 44 | 2008 |
A simple way of making a Hamiltonian system into a bi-Hamiltonian one A Sergyeyev Acta Applicandae Mathematica 83, 183-197, 2004 | 42 | 2004 |
Recursion operators for dispersionless integrable systems in any dimension M Marvan, A Sergyeyev Inverse Problems 28, 025011, 2012 | 39 | 2012 |
Conservation laws and normal forms of evolution equations RO Popovych, A Sergyeyev Physics Letters A 374 (22), 2210-2217, 2010 | 39 | 2010 |
On recursion operators and nonlocal symmetries of evolution equations A Sergyeyev Proceedings of the Seminar on Differential Geometry, 159–173, 2000 | 37 | 2000 |
Central extensions of cotangent universal hierarchy:(2+ 1)-dimensional bi-Hamiltonian systems A Sergyeyev, BM Szablikowski Physics Letters A 372 (47), 7016-7023, 2008 | 31 | 2008 |
Sasa-Satsuma (complex modified Korteweg–de Vries II) and the complex sine-Gordon II equation revisited: Recursion operators, nonlocal symmetries, and more A Sergyeyev, D Demskoi Journal of mathematical physics 48, 042702, 2007 | 30 | 2007 |
Recursion operator for the stationary Nizhnik–Veselov–Novikov equation M Marvan, A Sergyeyev Journal of Physics A: Mathematical and General 36 (5), L87, 2003 | 30 | 2003 |
Constructing conditionally integrable evolution systems in (1+ 1) dimensions: a generalization of invariant modules approach A Sergyeyev Journal of Physics A: Mathematical and General 35, 7653, 2002 | 25 | 2002 |
A strange recursion operator demystified A Sergyeyev Journal of Physics A: Mathematical and General 38 (15), L257, 2005 | 23 | 2005 |
Natural coordinates for a class of Benenti systems M Błaszak, A Sergyeyev Physics Letters A 365 (1-2), 28-33, 2007 | 22 | 2007 |
Maximal superintegrability of Benenti systems M Błaszak, A Sergyeyev Journal of Physics A: Mathematical and General 38 (1), L1-L5, 2005 | 21 | 2005 |
Integrable (3+1)-dimensional systems with rational Lax pairs A Sergyeyev Nonlinear Dynamics 91 (3), 1677-1680, 2018 | 20 | 2018 |
Generalized Stäckel systems M Błaszak, A Sergyeyev Physics Letters A 375 (27), 2617-2623, 2011 | 19 | 2011 |