Solitons, Nonlinear Evolution Equations and Inverse Scattering. By M. J. MJ Ablowitz, PA Clarkson Cambridge University Press, 1991 | 7982 | 1991 |
New similarity reductions of the Boussinesq equation PA Clarkson, MD Kruskal Journal of Mathematical Physics 30 (10), 2201-2213, 1989 | 1361 | 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 | 418 | 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 | 319 | 1992 |
Nonclassical symmetry reductions of the Boussinesq equation PA Clarkson Chaos, Solitons & Fractals 5 (12), 2261-2301, 1995 | 238 | 1995 |
Solitary‐wave interactions in elastic rods PA Clarkson, RJ LeVeque, R Saxton Studies in Applied Mathematics 75 (2), 95-121, 1986 | 231 | 1986 |
New similarity solutions for the modified Boussinesq equation PA Clarkson Journal of Physics A: Mathematical and General 22 (13), 2355, 1989 | 201 | 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 | 192 | 1987 |
Symmetry and the Chazy equation PA Clarkson, PJ Olver Journal of differential equations 124 (1), 225-246, 1996 | 171 | 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 | 164 | 2010 |
On a shallow water wave equation PA Clarkson, EL Mansfield Nonlinearity 7 (3), 975, 1994 | 157 | 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 | 149 | 2003 |
Bäcklund transformations for the second Painlevé hierarchy: a modified truncation approach PA Clarkson, N Joshi, A Pickering Inverse problems 15 (1), 175, 1999 | 138 | 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 | 127 | 2003 |
Rational solutions of the Boussinesq equation and applications to rogue waves PA Clarkson, E Dowie Transactions of Mathematics and its Applications 1 (1), tnx003, 2017 | 125 | 2017 |