| Applications of symmetry methods to partial differential equations GW Bluman Springer, 2010 | 1186 | 2010 |
| GeM software package for computation of symmetries and conservation laws of differential equations AF Cheviakov Computer physics communications 176 (1), 48-61, 2007 | 258 | 2007 |
| An asymptotic analysis of the mean first passage time for narrow escape problems: Part II: The sphere AF Cheviakov, MJ Ward, R Straube Multiscale Modeling & Simulation 8 (3), 836-870, 2010 | 189 | 2010 |
| Optimizing the principal eigenvalue of the Laplacian in a sphere with interior traps AF Cheviakov, MJ Ward Mathematical and Computer Modelling 53 (7-8), 1394-1409, 2011 | 102 | 2011 |
| Computation of fluxes of conservation laws AF Cheviakov Journal of Engineering Mathematics 66, 153-173, 2010 | 102 | 2010 |
| Framework for potential systems and nonlocal symmetries: Algorithmic approach G Bluman, AF Cheviakov Journal of mathematical physics 46 (12), 2005 | 81 | 2005 |
| Nonlocally related systems, linearization and nonlocal symmetries for the nonlinear wave equation G Bluman, AF Cheviakov Journal of mathematical analysis and applications 333 (1), 93-111, 2007 | 80 | 2007 |
| Framework for nonlocally related partial differential equation systems and nonlocal symmetries: Extension, simplification, and examples G Bluman, AF Cheviakov, NM Ivanova Journal of mathematical physics 47 (11), 2006 | 79 | 2006 |
| Symbolic computation of local symmetries of nonlinear and linear partial and ordinary differential equations AF Cheviakov Mathematics in Computer Science 4 (2), 203-222, 2010 | 62 | 2010 |
| Mathematical modeling and numerical computation of narrow escape problems AF Cheviakov, AS Reimer, MJ Ward Physical Review E 85 (2), 021131, 2012 | 59 | 2012 |
| Construction of conservation laws: how the direct method generalizes Noether’s theorem GW Bluman, AF Cheviakov, SC Anco Proceedings of 4th Workshop “Group Analysis of Differential Equations …, 2009 | 48 | 2009 |
| New conservation laws of helically symmetric, plane and rotationally symmetric viscous and inviscid flows O Kelbin, AF Cheviakov, M Oberlack Journal of Fluid Mechanics 721, 340-366, 2013 | 46 | 2013 |
| Symbolic computation of equivalence transformations and parameter reduction for nonlinear physical models AF Cheviakov Computer Physics Communications 220, 56-73, 2017 | 33 | 2017 |
| Generalized Ertel’s theorem and infinite hierarchies of conserved quantities for three-dimensional time-dependent Euler and Navier–Stokes equations AF Cheviakov, M Oberlack Journal of fluid mechanics 760, 368-386, 2014 | 33 | 2014 |
| A matlab-based finite-difference solver for the poisson problem with mixed dirichlet–neumann boundary conditions AS Reimer, AF Cheviakov Computer Physics Communications 184 (3), 783-798, 2013 | 33 | 2013 |
| Narrow-escape problem for the unit sphere: Homogenization limit, optimal arrangements of large numbers of traps, and the conjecture AF Cheviakov, D Zawada Physical Review E 87 (4), 042118, 2013 | 27 | 2013 |
| Multidimensional partial differential equation systems: Nonlocal symmetries, nonlocal conservation laws, exact solutions AF Cheviakov, GW Bluman Journal of mathematical physics 51 (10), 2010 | 27 | 2010 |
| Exact anisotropic MHD equilibria AF Cheviakov, OI Bogoyavlenskij Journal of Physics A: Mathematical and General 37 (30), 7593, 2004 | 27 | 2004 |
| Invariant conservation law-preserving discretizations of linear and nonlinear wave equations AF Cheviakov, VA Dorodnitsyn, EI Kaptsov Journal of Mathematical Physics 61 (8), 2020 | 26 | 2020 |
| Fully non-linear wave models in fiber-reinforced anisotropic incompressible hyperelastic solids AF Cheviakov, JF Ganghoffer, SS Jean International Journal of Non-Linear Mechanics 71, 8-21, 2015 | 25 | 2015 |
