Peter A. Clarkson focuses on Mathematical analysis, Partial differential equation, Differential equation, Mathematical physics and Nonlinear system. The concepts of his Mathematical analysis study are interwoven with issues in Boussinesq approximation and Homogeneous space. His Differential equation research integrates issues from Analytic function, Variety and Singularity.
His Mathematical physics study also includes fields such as
His primary areas of investigation include Mathematical analysis, Mathematical physics, Nonlinear system, Pure mathematics and Inverse scattering problem. His Mathematical analysis research incorporates themes from Korteweg–de Vries equation and Boussinesq approximation. Peter A. Clarkson has researched Mathematical physics in several fields, including Symmetry, Beta, Homogeneous space, Wave equation and Conservation law.
Peter A. Clarkson works mostly in the field of Nonlinear system, limiting it down to topics relating to Integrable system and, in certain cases, Amplitude, as a part of the same area of interest. His Pure mathematics research incorporates elements of Transformation and Recurrence relation. His work is dedicated to discovering how Inverse scattering problem, Soliton are connected with Theoretical physics and other disciplines.
Orthogonal polynomials, Pure mathematics, Algebra, Nonlinear system and Mathematical physics are his primary areas of study. His Pure mathematics study incorporates themes from Recurrence relation, Order and Order. His work in the fields of Soliton overlaps with other areas such as Constructive.
As part of one scientific family, he deals mainly with the area of Soliton, narrowing it down to issues related to the Conserved quantity, and often Nonlinear Schrödinger equation. His Mathematical physics research incorporates themes from Airy function, Collocation method, Stochastic partial differential equation, Differential equation and Separable partial differential equation. His biological study spans a wide range of topics, including Structure and Rogue wave.
His primary scientific interests are in Orthogonal polynomials, Pure mathematics, Discrete orthogonal polynomials, Recurrence relation and Laguerre polynomials. His research integrates issues of Mathematical economics and Mathematical society in his study of Orthogonal polynomials. Peter A. Clarkson combines subjects such as Function and Parabolic cylinder function with his study of Recurrence relation.
Peter A. Clarkson studied Parabolic cylinder function and Jacobi polynomials that intersect with Mathematical physics. His Classical orthogonal polynomials study is concerned with Mathematical analysis in general. Peter A. Clarkson interconnects Image and Sigma in the investigation of issues within Mathematical analysis.
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Solitons, nonlinear evolution equations and inverse scattering
Mark J. Ablowitz;P. A Clarkson.
NASA STI/Recon Technical Report A (1991)
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.
Journal of Mathematical Physics (1989)
Symmetry reductions and exact solutions of a class of nonlinear heat equations
Peter A. Clarkson;Peter A. Clarkson;Elizabeth L. Mansfield;Elizabeth L. Mansfield.
Physica D: Nonlinear Phenomena (1994)
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.
Physics Letters A (1992)
Nonclassical symmetry reductions of the Boussinesq equation
Peter A. Clarkson.
Chaos Solitons & Fractals (1995)
Solitary‐Wave Interactions in Elastic Rods
Peter A. Clarkson;Peter A. Clarkson;Randall J. LeVeque;Randall J. LeVeque;Ralph Saxton;Ralph Saxton.
Studies in Applied Mathematics (1986)
New similarity solutions for the modified Boussinesq equation
P A Clarkson.
Journal of Physics A (1989)
Applications of analytic and geometric methods to nonlinear differential equations
P. A Clarkson.
Painleve analysis of the non-linear Schrodinger family of equations
P A Clarkson;C M Cosgrove.
Journal of Physics A (1987)
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