Solitons, Nonlinear Evolution Equations and Inverse Scattering. By M. J. MJ Ablowitz, PA Clarkson Cambridge University Press, 1991 | 7917 | 1991 |

New similarity reductions of the Boussinesq equation PA Clarkson, MD Kruskal Journal of Mathematical Physics 30 (10), 2201-2213, 1989 | 1352 | 1989 |

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 |

The nonclassical method is more general than the direct method for symmetry reductions. An example of the Fitzhugh-Nagumo equation MC Nucci, PA Clarkson Physics Letters A 164 (1), 49-56, 1992 | 316 | 1992 |

Nonclassical symmetry reductions of the Boussinesq equation PA Clarkson Chaos, Solitons & Fractals 5 (12), 2261-2301, 1995 | 237 | 1995 |

Solitary‐wave interactions in elastic rods PA Clarkson, RJ LeVeque, R Saxton Studies in Applied Mathematics 75 (2), 95-121, 1986 | 228 | 1986 |

New similarity solutions for the modified Boussinesq equation PA Clarkson Journal of Physics A: Mathematical and General 22 (13), 2355, 1989 | 195 | 1989 |

Painleve analysis of the non-linear Schrodinger family of equations PA Clarkson, CM Cosgrove Journal of Physics A: Mathematical and General 20 (8), 2003, 1987 | 186 | 1987 |

Symmetry and the Chazy equation PA Clarkson, PJ Olver Journal of differential equations 124 (1), 225-246, 1996 | 172 | 1996 |

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

Rogue waves, rational solutions, the patterns of their zeros and integral relations A Ankiewicz, PA Clarkson, N Akhmediev Journal of Physics A: Mathematical and Theoretical 43 (12), 122002, 2010 | 163 | 2010 |

On a shallow water wave equation PA Clarkson, EL Mansfield Nonlinearity 7 (3), 975, 1994 | 156 | 1994 |

The Painlevé‐Kowalevski and poly‐Painlevé tests for integrability MD Kruskal, PA Clarkson Studies in Applied Mathematics 86 (2), 87-165, 1992 | 153 | 1992 |

Painlevé equations—nonlinear special functions PA Clarkson Orthogonal Polynomials and Special Functions: Computation and Applications …, 2006 | 151 | 2006 |

Painlevé equations—nonlinear special functions PA Clarkson Journal of computational and applied mathematics 153 (1-2), 127-140, 2003 | 148 | 2003 |

Bäcklund transformations for the second Painlevé hierarchy: a modified truncation approach PA Clarkson, N Joshi, A Pickering Inverse problems 15 (1), 175, 1999 | 136 | 1999 |

Reductions of self-dual Yang-Mills fields and classical systems S Chakravarty, MJ Ablowitz, PA Clarkson Physical review letters 65 (9), 1085, 1990 | 131 | 1990 |

Hodograph transformations of linearizable partial differential equations PA Clarkson, AS Fokas, MJ Ablowitz SIAM Journal on Applied Mathematics 49 (4), 1188-1209, 1989 | 129 | 1989 |

The second Painlevé equation, its hierarchy and associated special polynomials PA Clarkson, EL Mansfield Nonlinearity 16 (3), R1, 2003 | 122 | 2003 |

Bäcklund transformations and solution hierarchies for the fourth Painlevé equation AP Bassom, PA Clarkson, AC Hicks Studies in applied mathematics 95 (1), 1-71, 1995 | 121 | 1995 |