Symmetry reductions and exact solutions of a class of nonlinear heat equations PA Clarksonz, EL Mansfield Physica D: Nonlinear Phenomena 70 (3), 250-288, 1994 | 414 | 1994 |

Algorithms for the nonclassical method of symmetry reductions PA Clarkson, EL Mansfield SIAM Journal on Applied Mathematics 54 (6), 1693-1719, 1994 | 169 | 1994 |

On a shallow water wave equation PA Clarkson, EL Mansfield Nonlinearity 7 (3), 975, 1994 | 157 | 1994 |

The second Painlevé equation, its hierarchy and associated special polynomials PA Clarkson, EL Mansfield Nonlinearity 16 (3), R1, 2003 | 125 | 2003 |

A variational complex for difference equations PE Hydon, EL Mansfield Foundations of Computational Mathematics 4, 187-217, 2004 | 120 | 2004 |

A practical guide to the invariant calculus EL Mansfield Cambridge University Press, 2010 | 113 | 2010 |

Symmetries of a class of nonlinear third-order partial differential equations PA Clarkson, EL Mansfield, TJ Priestley Mathematical and Computer Modelling 25 (8-9), 195-212, 1997 | 91 | 1997 |

Algorithms for symmetric differential systems EL Mansfield Foundations of Computational Mathematics 1, 335-383, 2001 | 62 | 2001 |

Applications of the Differential Algebra Packagediffgrob2to Classical Symmetries of Differential Equations EL Mansfield, PA Clarkson Journal of Symbolic Computation 23 (5-6), 517-533, 1997 | 58 | 1997 |

Symmetry reductions and exact solutions of shallow water wave equations PA Clarkson, EL Mansfield KdV’95: Proceedings of the International Symposium held in Amsterdam, The …, 1995 | 57 | 1995 |

The nonclassical group analysis of the heat equation EL Mansfield Journal of mathematical analysis and applications 231 (2), 526-542, 1999 | 54 | 1999 |

Symmetries and exact solutions for a 2+ 1-dimensional shallow water wave equation EL Mansfield, PA Clarkson Mathematics and computers in simulation 43 (1), 39-55, 1997 | 47 | 1997 |

Symmetries and exact solutions of a (2+ 1)-dimensional sine-Gordon system PA Clarkson, EL Mansfield, AE Milne Philosophical Transactions of the Royal Society of London. Series A …, 1996 | 46 | 1996 |

Extensions of Noether's second theorem: from continuous to discrete systems PE Hydon, EL Mansfield Proceedings of the Royal Society A: Mathematical, Physical and Engineering …, 2011 | 45 | 2011 |

Symmetry group analysis of the shallow water and semi-geostrophic equations N Bîlă, EL Mansfield, PA Clarkson The Quarterly Journal of Mechanics and Applied Mathematics 59 (1), 95-123, 2006 | 44 | 2006 |

Discrete moving frames and discrete integrable systems E Mansfield, G Marí Beffa, JP Wang Foundations of Computational Mathematics 13, 545-582, 2013 | 40 | 2013 |

Nonclassical reductions of a 3+ 1-cubic nonlinear Schrödinger system EL Mansfield, GJ Reid, PA Clarkson Computer physics communications 115 (2-3), 460-488, 1998 | 39 | 1998 |

On moving frames and Noether’s conservation laws TMN Gonçalves, EL Mansfield Studies in Applied Mathematics 128 (1), 1-29, 2012 | 35 | 2012 |

On One‐Parameter Families of Painlevé III EL Mansfield, HN Webster Studies in Applied Mathematics 101 (3), 321-341, 1998 | 35 | 1998 |

Moving frames for Laplace invariants E Shemyakova, EL Mansfield Proceedings of the twenty-first international symposium on symbolic and …, 2008 | 34 | 2008 |