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Mathematics

D-Index
46
Citations
7024
World Ranking
1387
National Ranking
101

Overview

Frank W. Nijhoff is affiliated with the University of Leeds in the United Kingdom. Their research primarily spans the fields of Physics and Astronomy as well as Mathematics, with notable contributions in subfields such as Statistical and Nonlinear Physics, Geometry and Topology, Numerical Analysis, Mathematical Physics, and Applied Mathematics.

The scientist has made significant advances in topics that include Nonlinear Waves and Solitons, Nonlinear Photonic Systems, Algebraic Structures and Combinatorial Models, Numerical Methods for Differential Equations, Advanced Differential Equations and Dynamical Systems, Advanced Mathematical Physics Problems, and Quantum Mechanics and Non-Hermitian Physics.

Frequent venues for Nijhoff's publications include:

  • arXiv (Cornell University)
  • Studies in Applied Mathematics
  • Open Communications in Nonlinear Mathematical Physics
  • Communications in Mathematical Physics
  • Letters in Mathematical Physics

Notable recent papers authored by Nijhoff are:

  • Elliptic Solutions of Boussinesq Type Lattice Equations and the Elliptic Nth Root of Unity, 2022, Communications in Mathematical Physics
  • Lagrangian 3-form structure for the Darboux system and the KP hierarchy, 2023, Letters in Mathematical Physics

Additional relevant publications by close collaborators appearing in overlapping domains and related topics include:

  • On a coupled Kadomtsev-Petviashvili system associated with an elliptic curve, 2022, Studies in Applied Mathematics
  • Algebro-geometric integration of the Q1 lattice equation via nonlinear integrable symplectic maps, 2021, Nonlinearity
  • Integrable symplectic maps associated with discrete Korteweg-de Vries-type equations, 2020, Studies in Applied Mathematics

Frequent coauthors who have collaborated with Nijhoff include:

  • Da-jun Zhang
  • Ying-ying Sun
  • Xiaoxue Xu
  • Vincent Caudrelier
  • Duncan Sleigh

Best Publications

  • The discrete Korteweg-de Vries equation

    Frank Nijhoff;Hans Capel

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

    F.W. Nijhoff

  • Discrete Systems and Integrability

    J. Hietarinta;N. Joshi;F. W. Nijhoff

  • Direct linearization of nonlinear difference-difference equations

    F.W. Nijhoff;G.R.W. Quispel;H.W. Capel

  • The discrete and continuous Painlevé VI hierarchy and the Garnier systems

    F. W. Nijhoff;A. J. Walker

  • Linear integral equations and nonlinear difference-difference equations

    G.R.W. Quispel;F.W. Nijhoff;H.W. Capel;J. Van Der Linden

  • Integrable mappings and nonlinear integrable lattice equations

    V.G. Papageorgiou;F.W. Nijhoff;H.W. Capel

  • Soliton solutions for ABS lattice equations: I. Cauchy matrix approach

    Frank Nijhoff;James Atkinson;Jarmo Hietarinta

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

    F.W. Nijhoff;V.G. Papageorgiou

  • The lattice Gel'fand-Dikii hierarchy

    F W Nijhoff;V G Papageorgiou;H W Capel;G R W Quispel

  • Complete integrability of Lagrangian mappings and lattices of KdV type

    H.W. Capel;F.W. Nijhoff;V.G. Papageorgiou

  • Discrete Painlevé Equations

    Basile Grammaticos;Frank W. Nijhoff;Alfred Ramani

  • On Discrete Painlevé Equations Associated with the Lattice KdV Systems and the Painlevé VI Equation

    F. W. Nijhoff;A. Ramani;B. Grammaticos;Y. Ohta

  • Backlund transformations and three-dimensional lattice equations

    F.W. Nijhoff;H.W. Capel;G.L. Wiersma;G.R.W. Quispel

  • Integrable mappings derived from soliton equations

    G.R.W. Quispel;H.W. Capel;V.G. Papageorgiou;F.W. Nijhoff

  • Isomonodromic deformation problems for discrete analogues of Painlevé equations

    V.G. Papageorgiou;F.W. Nijhoff;B. Grammaticos;A. Ramani

  • Lagrangian multiforms and multidimensional consistency

    Sarah Lobb;Frank Nijhoff

  • Integrability for multidimensional lattice models

    Jean Michel Maillet;Frank Nijhoff

  • Integrable time-discretisation of the Ruijsenaars-Schneider model

    Fw Nijhoff;Orlando Ragnisco;Vb Kuznetsov

  • Linearization of the Boussinesq equation and the modified Boussinesq equation

    G.R.W. Quispel;F.W. Nijhoff;H.W. Capel

Frequent Co-Authors

H.W. Capel
H.W. Capel University of Amsterdam
G. R. W. Quispel
G. R. W. Quispel La Trobe University
Peter A. Clarkson
Peter A. Clarkson University of Kent
Jarmo Hietarinta
Jarmo Hietarinta University of Turku
Alfred Ramani
Alfred Ramani Centre national de la recherche scientifique, CNRS
Orlando Ragnisco
Orlando Ragnisco Roma Tre University
B. Grammaticos
B. Grammaticos University of Paris-Saclay
Junkichi Satsuma
Junkichi Satsuma Musashino University
Jacques H. H. Perk
Jacques H. H. Perk Oklahoma State University
Pavel Bleher
Pavel Bleher Indiana University – Purdue University Indianapolis

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