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.
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.
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.
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.
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The discrete Korteweg-de Vries equation
Frank Nijhoff;Hans Capel.
Acta Applicandae Mathematicae (1995)
Lax pair for the Adler (lattice Krichever–Novikov) system
F.W. Nijhoff.
Physics Letters A (2002)
The discrete and continuous Painlevé VI hierarchy and the Garnier systems
F. W. Nijhoff;A. J. Walker.
Glasgow Mathematical Journal (2001)
Direct linearization of nonlinear difference-difference equations
F.W. Nijhoff;G.R.W. Quispel;H.W. Capel.
Physics Letters A (1983)
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)
Integrable mappings and nonlinear integrable lattice equations
V.G. Papageorgiou;F.W. Nijhoff;H.W. Capel.
Physics Letters A (1990)
Discrete Systems and Integrability
J. Hietarinta;N. Joshi;F. W. Nijhoff.
(2016)
Similarity reductions of integrable lattices and discrete analogues of the Painlevé II equation
F.W. Nijhoff;V.G. Papageorgiou.
Physics Letters A (1991)
Discrete Painlevé Equations
Basile Grammaticos;Frank W. Nijhoff;Alfred Ramani.
CBMS Regional Conference Series in#N# Mathematics (2019)
Complete integrability of Lagrangian mappings and lattices of KdV type
H.W. Capel;F.W. Nijhoff;V.G. Papageorgiou.
Physics Letters A (1991)
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