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 44 Citations 6,065 198 World Ranking 811 National Ranking 20

Overview

What is he best known for?

The fields of study he is best known for:

  • Quantum mechanics
  • Mathematical analysis
  • Algebra

Decio Levi mainly investigates Mathematical analysis, Mathematical physics, Nonlinear system, Partial differential equation and Integrable system. His research combines Generalized symmetry and Mathematical analysis. His Mathematical physics research is multidisciplinary, relying on both Symmetry group, Lie group, Lie conformal algebra and Homogeneous space.

Decio Levi focuses mostly in the field of Nonlinear system, narrowing it down to matters related to Schrödinger's cat and, in some cases, Differential difference equations, Physical quantity, Brillouin zone, Rayleigh scattering and Exact solutions in general relativity. His work in Partial differential equation covers topics such as Euler equations which are related to areas like Inviscid flow, Classical mechanics, Boundary value problem and Vorticity. His Integrable system study combines topics from a wide range of disciplines, such as Soliton, Quantum mechanics and Constant curvature.

His most cited work include:

  • Non-classical symmetry reduction: example of the Boussinesq equation (317 citations)
  • Continuous symmetries of discrete equations (163 citations)
  • Continuous symmetries of discrete equations (163 citations)

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

His main research concerns Mathematical analysis, Mathematical physics, Homogeneous space, Nonlinear system and Differential equation. Mathematical analysis is a component of his Partial differential equation, Integrable system, Independent equation, Discretization and Euler equations studies. The various areas that Decio Levi examines in his Mathematical physics study include Korteweg–de Vries equation, Soliton, Lie group and Nonlinear Schrödinger equation.

His study in Homogeneous space is interdisciplinary in nature, drawing from both Symmetry, Pure mathematics, Lattice, Point and Discrete equation. His Pure mathematics research is multidisciplinary, relying on both Transformation, Simple, Algebraic number and Algebra. The Nonlinear system study which covers Multilinear map that intersects with Square lattice.

He most often published in these fields:

  • Mathematical analysis (44.56%)
  • Mathematical physics (39.12%)
  • Homogeneous space (29.25%)

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

  • Mathematical analysis (44.56%)
  • Homogeneous space (29.25%)
  • Pure mathematics (19.05%)

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

Decio Levi focuses on Mathematical analysis, Homogeneous space, Pure mathematics, Nonlinear system and Discretization. His work on Differential equation and Partial differential equation as part of general Mathematical analysis study is frequently linked to Linearizability, bridging the gap between disciplines. He has researched Homogeneous space in several fields, including Symmetry, Linearization, Partial difference equations, Invariant and Point.

His research in Pure mathematics is mostly focused on Integrable system. His biological study focuses on Conditional symmetry. His Discretization research incorporates elements of Order and Applied mathematics.

Between 2011 and 2021, his most popular works were:

  • On the integrability of a new lattice equation found by multiple scale analysis (21 citations)
  • Lie-point symmetries of the discrete Liouville equation (21 citations)
  • ON PARTIAL DIFFERENTIAL AND DIFFERENCE EQUATIONS WITH SYMMETRIES DEPENDING ON ARBITRARY FUNCTIONS (13 citations)

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

  • Quantum mechanics
  • Mathematical analysis
  • Algebra

Pure mathematics, Homogeneous space, Mathematical analysis, Nonlinear system and Integrable system are his primary areas of study. Decio Levi interconnects Discretization and Generalization in the investigation of issues within Pure mathematics. His biological study spans a wide range of topics, including Invariant, Ordinary differential equation, Jacobi method, Point and Jacobi identity.

His work on Partial differential equation, Independent equation and Exact differential equation as part of general Mathematical analysis study is frequently connected to Linearizability, therefore bridging the gap between diverse disciplines of science and establishing a new relationship between them. His research investigates the link between Nonlinear system and topics such as Algebraic number that cross with problems in Nonlinear dynamical systems. Decio Levi focuses mostly in the field of Integrable system, narrowing it down to topics relating to Differential difference equations and, in certain cases, Type, Simple, Transformation and Invertible matrix.

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

Non-classical symmetry reduction: example of the Boussinesq equation

Decio Levi;P. Winternitz.
Journal of Physics A (1989)

416 Citations

Continuous symmetries of discrete equations

Decio Levi;Decio Levi;P. Winternitz.
Physics Letters A (1991)

216 Citations

Symmetry reduction for the Kadomtsev–Petviashvili equation using a loop algebra

D David;N Kamran;Decio Levi;P. Winternitz.
Journal of Mathematical Physics (1986)

208 Citations

Symmetries and conditional symmetries of differential difference equations

Decio Levi;P. Winternitz.
Journal of Mathematical Physics (1993)

156 Citations

Conditions for the existence of higher symmetries of evolutionary equations on the lattice

Decio Levi;R. Yamilov.
Journal of Mathematical Physics (1997)

155 Citations

Continuous symmetries of difference equations

Decio Levi;Pavel Winternitz.
Journal of Physics A (2006)

146 Citations

Nonlinear differential difference equations as Backlund transformations

D Levi.
Journal of Physics A (1981)

141 Citations

Lie group formalism for difference equations

Decio Levi;L Vinet;P. Winternitz.
Journal of Physics A (1997)

133 Citations

Subalgebras of loop algebras and symmetries of the Kadomtsev-Petviashvili equation.

D David;N Kamran;D Levi;P Winternitz.
Physical Review Letters (1985)

120 Citations

Painlevé transcendents : their asymptotics and physical applications

Decio Levi;Pavel Winternitz.
(1992)

116 Citations

Best Scientists Citing Decio Levi

Pavel Winternitz

Pavel Winternitz

University of Montreal

Publications: 64

Peter A. Clarkson

Peter A. Clarkson

University of Kent

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Anjan Biswas

Anjan Biswas

Alabama Agricultural and Mechanical University

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Wolfgang K. Schief

Wolfgang K. Schief

UNSW Sydney

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Alexander V. Mikhailov

Alexander V. Mikhailov

University of Leeds

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Peter J. Olver

Peter J. Olver

University of Minnesota

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Paolo Maria Santini

Paolo Maria Santini

National Institute for Nuclear Physics

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Orlando Ragnisco

Orlando Ragnisco

Roma Tre University

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Wen-Xiu Ma

Wen-Xiu Ma

University of South Florida

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G. R. W. Quispel

G. R. W. Quispel

La Trobe University

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José F. Cariñena

José F. Cariñena

University of Zaragoza

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Frank W. Nijhoff

Frank W. Nijhoff

University of Leeds

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Boris Konopelchenko

Boris Konopelchenko

University of Salento

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Yong Chen

Yong Chen

East China Normal University

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Folkert Müller-Hoissen

Folkert Müller-Hoissen

Max Planck Society

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Shou-Fu Tian

Shou-Fu Tian

China University of Mining and Technology

Publications: 10

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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