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Peter A Clarkson
Peter A Clarkson
Emeritus Professor of Mathematics, University of Kent
Verified email at kent.ac.uk
Title
Cited by
Cited by
Year
Solitons, Nonlinear Evolution Equations and Inverse Scattering. By M. J.
MJ Ablowitz, PA Clarkson
Cambridge University Press, 1991
79821991
New similarity reductions of the Boussinesq equation
PA Clarkson, MD Kruskal
Journal of Mathematical Physics 30 (10), 2201-2213, 1989
13611989
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
4181994
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
3191992
Nonclassical symmetry reductions of the Boussinesq equation
PA Clarkson
Chaos, Solitons & Fractals 5 (12), 2261-2301, 1995
2381995
Solitary‐wave interactions in elastic rods
PA Clarkson, RJ LeVeque, R Saxton
Studies in Applied Mathematics 75 (2), 95-121, 1986
2311986
New similarity solutions for the modified Boussinesq equation
PA Clarkson
Journal of Physics A: Mathematical and General 22 (13), 2355, 1989
2011989
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
1921987
Symmetry and the Chazy equation
PA Clarkson, PJ Olver
Journal of differential equations 124 (1), 225-246, 1996
1711996
Algorithms for the nonclassical method of symmetry reductions
PA Clarkson, EL Mansfield
SIAM Journal on Applied Mathematics 54 (6), 1693-1719, 1994
1691994
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
1642010
On a shallow water wave equation
PA Clarkson, EL Mansfield
Nonlinearity 7 (3), 975, 1994
1571994
The Painlevé‐Kowalevski and poly‐Painlevé tests for integrability
MD Kruskal, PA Clarkson
Studies in Applied Mathematics 86 (2), 87-165, 1992
1531992
Painlevé equations—nonlinear special functions
PA Clarkson
Orthogonal Polynomials and Special Functions: Computation and Applications …, 2006
1512006
Painlevé equations—nonlinear special functions
PA Clarkson
Journal of computational and applied mathematics 153 (1-2), 127-140, 2003
1492003
Bäcklund transformations for the second Painlevé hierarchy: a modified truncation approach
PA Clarkson, N Joshi, A Pickering
Inverse problems 15 (1), 175, 1999
1381999
Reductions of self-dual Yang-Mills fields and classical systems
S Chakravarty, MJ Ablowitz, PA Clarkson
Physical review letters 65 (9), 1085, 1990
1311990
Hodograph transformations of linearizable partial differential equations
PA Clarkson, AS Fokas, MJ Ablowitz
SIAM Journal on Applied Mathematics 49 (4), 1188-1209, 1989
1291989
The second Painlevé equation, its hierarchy and associated special polynomials
PA Clarkson, EL Mansfield
Nonlinearity 16 (3), R1, 2003
1272003
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
1252017
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