D-Index & Metrics Best Publications

D-Index & Metrics

Discipline name D-index D-index (Discipline H-index) only includes papers and citation values for an examined discipline in contrast to General H-index which accounts for publications across all disciplines. Citations Publications World Ranking National Ranking
Mathematics D-index 43 Citations 5,716 126 World Ranking 866 National Ranking 58

Overview

What is he best known for?

The fields of study he is best known for:

  • Mathematical analysis
  • Quantum mechanics
  • Partial differential equation

Mathematical physics, Partial differential equation, Integrable system, Mathematical analysis and Korteweg–de Vries equation are his primary areas of study. His specific area of interest is Mathematical physics, where Frank W. Nijhoff studies Lax pair. His Partial differential equation research incorporates elements of Integer lattice, Congruence lattice problem, Pure mathematics and Nonlinear system.

His Integrable system research is multidisciplinary, incorporating elements of Soliton, Lattice, Padé approximant, Algebra and Computation. His study on Differential equation and Limit is often connected to Complex system as part of broader study in Mathematical analysis. His Korteweg–de Vries equation research includes themes of Lattice field theory, Reciprocal lattice, Map of lattices, Isomonodromic deformation and Lattice gas automaton.

His most cited work include:

  • The Discrete Korteweg—de Vries Equation (315 citations)
  • Lax pair for the Adler (lattice Krichever–Novikov) system (248 citations)
  • The discrete and continuous Painlevé VI hierarchy and the Garnier systems (199 citations)

What are the main themes of his work throughout his whole career to date?

Frank W. Nijhoff spends much of his time researching Mathematical physics, Integrable system, Lattice, Pure mathematics and Mathematical analysis. His Mathematical physics study also includes fields such as

  • Partial differential equation that connect with fields like Differential equation,

  • Integral equation which connect with Nonlinear Schrödinger equation and Linearization. His research on Integrable system also deals with topics like

  • Korteweg–de Vries equation that connect with fields like Isomonodromic deformation,

  • Nonlinear system that intertwine with fields like Dynamical systems theory.

His Lattice research incorporates themes from Partial difference equations and Quantum. In his work, Lattice is strongly intertwined with Type, which is a subfield of Pure mathematics. His study in the field of Independent equation, Inverse scattering transform and Numerical partial differential equations also crosses realms of Cauchy matrix.

He most often published in these fields:

  • Mathematical physics (43.52%)
  • Integrable system (40.41%)
  • Lattice (35.23%)

What were the highlights of his more recent work (between 2011-2021)?

  • Integrable system (40.41%)
  • Lattice (35.23%)
  • Mathematical physics (43.52%)

In recent papers he was focusing on the following fields of study:

His primary scientific interests are in Integrable system, Lattice, Mathematical physics, Pure mathematics and Mathematical analysis. His Integrable system research includes elements of Variational principle, Symplectic geometry, Type and Nonlinear system. Frank W. Nijhoff has included themes like Integral transform, Kadomtsev–Petviashvili equation, Linearization and Vries equation in his Lattice study.

His Mathematical physics research is multidisciplinary, relying on both Korteweg–de Vries equation, Partial differential equation, Homogeneous space, Conservation law and Integral equation. His Lax pair, Theta function and Quarter period study in the realm of Pure mathematics interacts with subjects such as Hyperdeterminant. His work in the fields of Supersingular elliptic curve, Jacobi elliptic functions and Residue theorem overlaps with other areas such as Cauchy matrix and Cauchy's convergence test.

Between 2011 and 2021, his most popular works were:

  • Discrete Painlevé Equations (87 citations)
  • Discrete Systems and Integrability (71 citations)
  • Direct Linearization of Extended Lattice BSQ Systems (36 citations)

In his most recent research, the most cited papers focused on:

  • Mathematical analysis
  • Quantum mechanics
  • Algebra

Frank W. Nijhoff mainly investigates Integrable system, Lattice, Mathematical physics, Mathematical analysis and Variational principle. His Integrable system research is under the purview of Pure mathematics. His studies deal with areas such as Integral transform, Kadomtsev–Petviashvili equation and Linearization as well as Lattice.

The study incorporates disciplines such as Korteweg–de Vries equation, Soliton, Conservation law and Homogeneous space in addition to Mathematical physics. His work on Ordinary differential equation, Singularity and Ode as part of his general Mathematical analysis study is frequently connected to Property, thereby bridging the divide between different branches of science. His work in Variational principle covers topics such as Nonlinear system which are related to areas like Dynamical systems theory.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Best Publications

The Discrete Korteweg—de Vries Equation

Frank Nijhoff;Hans Capel.
Acta Applicandae Mathematicae (1995)

315 Citations

Lax pair for the Adler (lattice Krichever–Novikov) system

F.W. Nijhoff.
Physics Letters A (2002)

248 Citations

The discrete and continuous Painlevé VI hierarchy and the Garnier systems

F. W. Nijhoff;A. J. Walker.
Glasgow Mathematical Journal (2001)

231 Citations

Direct linearization of nonlinear difference-difference equations

F.W. Nijhoff;G.R.W. Quispel;H.W. Capel.
Physics Letters A (1983)

219 Citations

Linear integral equations and nonlinear difference-difference equations

G.R.W. Quispel;F.W. Nijhoff;H.W. Capel;J. Van Der Linden.
Physica A-statistical Mechanics and Its Applications (1984)

193 Citations

Integrable mappings and nonlinear integrable lattice equations

V.G. Papageorgiou;F.W. Nijhoff;H.W. Capel.
Physics Letters A (1990)

188 Citations

Similarity reductions of integrable lattices and discrete analogues of the Painlevé II equation

F.W. Nijhoff;V.G. Papageorgiou.
Physics Letters A (1991)

158 Citations

Discrete Painlevé Equations

Basile Grammaticos;Frank W. Nijhoff;Alfred Ramani.
CBMS Regional Conference Series in#N# Mathematics (2019)

135 Citations

Discrete Systems and Integrability

J. Hietarinta;N. Joshi;F. W. Nijhoff.
(2016)

128 Citations

Complete integrability of Lagrangian mappings and lattices of KdV type

H.W. Capel;F.W. Nijhoff;V.G. Papageorgiou.
Physics Letters A (1991)

123 Citations

Best Scientists Citing Frank W. Nijhoff

Alfred Ramani

Alfred Ramani

École Polytechnique

Publications: 58

B. Grammaticos

B. Grammaticos

Université Paris Cité

Publications: 48

G. R. W. Quispel

G. R. W. Quispel

La Trobe University

Publications: 37

Decio Levi

Decio Levi

Roma Tre University

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Peter A. Clarkson

Peter A. Clarkson

University of Kent

Publications: 27

Alexander I. Bobenko

Alexander I. Bobenko

Technical University of Berlin

Publications: 26

Pavel Winternitz

Pavel Winternitz

University of Montreal

Publications: 19

Junkichi Satsuma

Junkichi Satsuma

Musashino University

Publications: 18

Wolfgang K. Schief

Wolfgang K. Schief

UNSW Sydney

Publications: 18

Orlando Ragnisco

Orlando Ragnisco

Roma Tre University

Publications: 17

Jarmo Hietarinta

Jarmo Hietarinta

University of Turku

Publications: 14

Boris Konopelchenko

Boris Konopelchenko

University of Salento

Publications: 9

Folkert Müller-Hoissen

Folkert Müller-Hoissen

Max Planck Society

Publications: 9

Alexander V. Mikhailov

Alexander V. Mikhailov

University of Leeds

Publications: 8

Vladimir V. Bazhanov

Vladimir V. Bazhanov

Australian National University

Publications: 8

Profile was last updated on December 6th, 2021.
Research.com Ranking is based on data retrieved from the Microsoft Academic Graph (MAG).
The ranking d-index is inferred from publications deemed to belong to the considered discipline.

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