Applications of symmetry methods to partial differential equations GW Bluman springer, 2010 | 1222 | 2010 |

GeM software package for computation of symmetries and conservation laws of differential equations AF Cheviakov Computer physics communications 176 (1), 48-61, 2007 | 272 | 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 | 191 | 2010 |

Computation of fluxes of conservation laws AF Cheviakov Journal of Engineering Mathematics 66, 153-173, 2010 | 106 | 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 | 103 | 2011 |

Framework for potential systems and nonlocal symmetries: Algorithmic approach G Bluman, AF Cheviakov Journal of mathematical physics 46 (12), 2005 | 83 | 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 | 82 | 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 | 82 | 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 | 67 | 2010 |

Mathematical modeling and numerical computation of narrow escape problems AF Cheviakov, AS Reimer, MJ Ward Physical Review E—Statistical, Nonlinear, and Soft Matter Physics 85 (2 …, 2012 | 60 | 2012 |

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 | 49 | 2013 |

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 | 49 | 2009 |

Symbolic computation of equivalence transformations and parameter reduction for nonlinear physical models AF Cheviakov Computer Physics Communications 220, 56-73, 2017 | 36 | 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 | 35 | 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 |

Invariant conservation law-preserving discretizations of linear and nonlinear wave equations AF Cheviakov, VA Dorodnitsyn, EI Kaptsov Journal of Mathematical Physics 61 (8), 2020 | 28 | 2020 |

Multidimensional partial differential equation systems: nonlocal symmetries, nonlocal conservation laws, exact solutions AF Cheviakov, GW Bluman Journal of mathematical physics 51 (10), 2010 | 28 | 2010 |

Exact anisotropic MHD equilibria AF Cheviakov, OI Bogoyavlenskij Journal of Physics A: Mathematical and General 37 (30), 7593, 2004 | 28 | 2004 |

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—Statistical, Nonlinear, and Soft Matter Physics 87 (4 …, 2013 | 27 | 2013 |

New similarity reductions and exact solutions for helically symmetric viscous flows D Dierkes, A Cheviakov, M Oberlack Physics of Fluids 32 (5), 2020 | 26 | 2020 |