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Mathematics

D-Index
52
Citations
23060
World Ranking
934
National Ranking
69

Overview

Peter A. Clarkson is affiliated with the University of Kent in the United Kingdom and has contributed to research primarily in the fields of Mathematics and Physics and Astronomy. Their work spans multiple specialized subfields, including Statistical and Nonlinear Physics, Geometry and Topology, Discrete Mathematics and Combinatorics, Spectroscopy, and Algebra and Number Theory.

Clarkson's research topics cover a range of areas such as Nonlinear Waves and Solitons, Advanced Combinatorial Mathematics, Algebraic Structures and Combinatorial Models, Molecular Spectroscopy and Chirality, Advanced Topics in Algebra, Advanced Differential Equations and Dynamical Systems, and Mathematical Functions and Polynomials.

Recent publications by Peter A. Clarkson include:

  • Classical solutions of the degenerate fifth Painlevé equation, 2023, Journal of Physics A Mathematical and Theoretical
  • Rational solutions of the fifth Painlevé equation. Generalized Laguerre polynomials, 2023, Studies in Applied Mathematics
  • Cyclic Maya diagrams and rational solutions of higher order Painlevé systems, 2020, Studies in Applied Mathematics
  • A Constructive Proof for the Umemura Polynomials of the Third Painlevé Equation, 2023, Symmetry Integrability and Geometry Methods and Applications
  • Generalized higher-order Freud weights, 2023, Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences

Their collaborative work includes frequent co-authorship with Clare Dunning, Kerstin Jordaan, Ana F. Loureiro, Anton Dzhamay, and Andrew N. W. Hone, each contributing to joint research efforts on at least two occasions.

Peter A. Clarkson's research outputs are often published in venues such as Studies in Applied Mathematics, arXiv (Cornell University), Journal of Physics A Mathematical and Theoretical, Symmetry Integrability and Geometry Methods and Applications, and the Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences.

Best Publications

  • Solitons, Nonlinear Evolution Equations and Inverse Scattering

    Mark J. Ablowitz;P. A Clarkson

  • Solitons, Nonlinear Evolution Equations and Inverse Scattering: References

    M. A. Ablowitz;P. A. Clarkson

  • New similarity reductions of the Boussinesq equation

    Peter A. Clarkson;Martin D. Kruskal

  • Symmetry reductions and exact solutions of a class of nonlinear heat equations

    Peter A. Clarkson;Peter A. Clarkson;Elizabeth L. Mansfield;Elizabeth L. Mansfield

  • The nonclassical method is more general than the direct method for symmetry reductions. An example of the Fitzhugh-Nagumo equation

    Maria Clara Nucci;P. A. Clarkson

  • Nonclassical symmetry reductions of the Boussinesq equation

    Peter A. Clarkson

  • Solitary‐Wave Interactions in Elastic Rods

    Peter A. Clarkson;Peter A. Clarkson;Randall J. LeVeque;Randall J. LeVeque;Ralph Saxton;Ralph Saxton

  • New similarity solutions for the modified Boussinesq equation

    P A Clarkson

  • Painleve analysis of the non-linear Schrodinger family of equations

    P A Clarkson;C M Cosgrove

  • On a Shallow Water Wave Equation

    Peter A. Clarkson;Elizabeth L. Mansfield

  • Algorithms for the nonclassical method of symmetry reductions

    Peter A. Clarkson;Elizabeth L. Mansfield

  • Rogue waves, rational solutions, the patterns of their zeros and integral relations

    Adrian Ankiewicz;Peter A Clarkson;Nail Akhmediev

  • Symmetry and the Chazy Equation

    Peter A. Clarkson;Peter J. Olver

  • The Painlevé‐Kowalevski and Poly‐Painlevé Tests for Integrability

    Martin D. Kruskal;Martin D. Kruskal;Peter A. Clarkson;Peter A. Clarkson

  • Painlevé equations: nonlinear special functions

    Peter A. Clarkson

  • Bäcklund transformations for the second Painlevé hierarchy: a modified truncation approach

    Peter A Clarkson;Nalini Joshi;Andrew Pickering

  • Reductions of self-dual Yang-Mills fields and classical systems.

    S. Chakravarty;M. J. Ablowitz;P. A. Clarkson

  • Hodograph transformations of linearizable partial differential equations

    P. A. Clarkson;A. S. Fokas;M. J. Ablowitz

  • Rational solutions of the Boussinesq equation and applications to rogue waves

    Peter A. Clarkson;Ellen Dowie

  • The second Painlevé equation, its hierarchy and associated special polynomials

    Peter A Clarkson;Elizabeth L Mansfield

  • Bäcklund Transformations and Solution Hierarchies for the Third Painlevé Equation

    Alice E. Milne;Peter A. Clarkson;Andrew P. Bassom

  • Applications of analytic and geometric methods to nonlinear differential equations

    P. A Clarkson

  • THE DIRECT METHOD IN SOLITON THEORY (Cambridge Tracts in Mathematics 155) By RYOGO HIROTA (translated and edited by ATSUSHI NAGAI, JON NIMMO and CLAIRE GILSON): 200 pp., £40.00 (US$65.00), ISBN 0-521-83660-3 (Cambridge University Press, 2004)

    Peter Clarkson

Frequent Co-Authors

Frank W. Nijhoff
Frank W. Nijhoff University of Leeds
Mark J. Ablowitz
Mark J. Ablowitz University of Colorado Boulder
Adrian Ankiewicz
Adrian Ankiewicz Australian National University
Martin D. Kruskal
Martin D. Kruskal Rutgers, The State University of New Jersey
Pavel Winternitz
Pavel Winternitz University of Montreal
Peter J. Olver
Peter J. Olver University of Minnesota
Alexander Its
Alexander Its Indiana University – Purdue University Indianapolis
Randall J. LeVeque
Randall J. LeVeque University of Washington
Nail Akhmediev
Nail Akhmediev Australian National University

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