D-Index & Metrics Best Publications

D-Index & Metrics 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.

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 49 Citations 10,404 218 World Ranking 837 National Ranking 41

Overview

What is he best known for?

The fields of study he is best known for:

  • Mathematical analysis
  • Algebra
  • Quantum mechanics

The scientist’s investigation covers issues in Mathematical analysis, Integrable system, Mathematical physics, Singularity and Partial differential equation. His Mathematical analysis study incorporates themes from Lattice and Nonlinear system. His Integrable system study necessitates a more in-depth grasp of Pure mathematics.

His research integrates issues of Multiplicative function, Discrete equation, Bilinear interpolation and Variables in his study of Pure mathematics. His research on Mathematical physics also deals with topics like

  • Differential equation together with Bilinear form,
  • Hamiltonian that intertwine with fields like Group theory. His Partial differential equation study combines topics in areas such as Korteweg–de Vries equation, Soliton, Dynamical systems theory and Motion.

His most cited work include:

  • A connection between nonlinear evolution equations and ordinary differential equations of P‐type. II (901 citations)
  • The Painlevé property and singularity analysis of integrable and non-integrable systems (486 citations)
  • Nonlinear evolution equations and ordinary differential equations of painlevè type (456 citations)

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

Alfred Ramani spends much of his time researching Integrable system, Mathematical analysis, Pure mathematics, Singularity and Mathematical physics. Alfred Ramani combines subjects such as Linearization, Nonlinear system, Partial differential equation, Degree and Algebra with his study of Integrable system. Alfred Ramani has included themes like Lattice, Type and Applied mathematics in his Mathematical analysis study.

The concepts of his Pure mathematics study are interwoven with issues in Discrete mathematics, Limit, Variables and Special solution. Alfred Ramani works mostly in the field of Singularity, limiting it down to concerns involving Gravitational singularity and, occasionally, Algebraic number. His Mathematical physics research is multidisciplinary, incorporating perspectives in Korteweg–de Vries equation, Soliton, Hamiltonian and Bilinear interpolation.

He most often published in these fields:

  • Integrable system (42.32%)
  • Mathematical analysis (38.17%)
  • Pure mathematics (33.61%)

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

  • Singularity (26.14%)
  • Integrable system (42.32%)
  • Gravitational singularity (15.35%)

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

Singularity, Integrable system, Gravitational singularity, Pure mathematics and Mathematical analysis are his primary areas of study. Within one scientific family, Alfred Ramani focuses on topics pertaining to Structure under Singularity, and may sometimes address concerns connected to Degree. Integrable system is a subfield of Mathematical physics that Alfred Ramani explores.

His Gravitational singularity study combines topics from a wide range of disciplines, such as Iterated function and Algebraic number. His Pure mathematics research includes themes of Discrete mathematics, Type and Variables. His work on Essential singularity as part of general Mathematical analysis research is frequently linked to Block cellular automaton, bridging the gap between disciplines.

Between 2011 and 2021, his most popular works were:

  • Discrete Painlevé Equations (87 citations)
  • Discrete Painlevé equations associated with the affine Weyl group E8 (25 citations)
  • The redemption of singularity confinement (20 citations)

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

  • Mathematical analysis
  • Algebra
  • Quantum mechanics

His primary areas of investigation include Singularity, Integrable system, Pure mathematics, Mathematical analysis and Gravitational singularity. His work on Singularity analysis is typically connected to Property as part of general Singularity study, connecting several disciplines of science. Alfred Ramani interconnects Structure and Degree in the investigation of issues within Integrable system.

His work in Pure mathematics tackles topics such as Discrete mathematics which are related to areas like Coincidence point, Linearization, Invariant and Linear equation. Alfred Ramani usually deals with Mathematical analysis and limits it to topics linked to Discrete system and Theoretical physics. His Free parameter research integrates issues from Plane and Variables.

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

A connection between nonlinear evolution equations and ordinary differential equations of P‐type. II

M. J. Ablowitz;A. Ramani;H. Segur.
Journal of Mathematical Physics (1980)

1249 Citations

A connection between nonlinear evolution equations and ordinary differential equations of P‐type. II

M. J. Ablowitz;A. Ramani;H. Segur.
Journal of Mathematical Physics (1980)

1249 Citations

Do integrable mappings have the Painlevé property

B. Grammaticos;A. Ramani;V. Papageorgiou.
Physical Review Letters (1991)

697 Citations

Do integrable mappings have the Painlevé property

B. Grammaticos;A. Ramani;V. Papageorgiou.
Physical Review Letters (1991)

697 Citations

Nonlinear evolution equations and ordinary differential equations of painlevè type

M. J. Ablowitz;A. Ramani;H. Segur.
Lettere Al Nuovo Cimento (1978)

690 Citations

Nonlinear evolution equations and ordinary differential equations of painlevè type

M. J. Ablowitz;A. Ramani;H. Segur.
Lettere Al Nuovo Cimento (1978)

690 Citations

The Painlevé property and singularity analysis of integrable and non-integrable systems

A. Ramani;B. Grammaticos;T. Bountis.
Physics Reports (1989)

671 Citations

The Painlevé property and singularity analysis of integrable and non-integrable systems

A. Ramani;B. Grammaticos;T. Bountis.
Physics Reports (1989)

671 Citations

Discrete versions of the Painlevé equations.

A. Ramani;B. Grammaticos;J. Hietarinta.
Physical Review Letters (1991)

483 Citations

Discrete versions of the Painlevé equations.

A. Ramani;B. Grammaticos;J. Hietarinta.
Physical Review Letters (1991)

483 Citations

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