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 33 Citations 18,406 73 World Ranking 2099 National Ranking 892

Overview

What is he best known for?

The fields of study he is best known for:

  • Quantum mechanics
  • Mathematical analysis
  • Partial differential equation

Harvey Segur mostly deals with Mathematical analysis, Inverse scattering transform, Nonlinear system, Differential equation and Partial differential equation. His Mathematical analysis study combines topics from a wide range of disciplines, such as Motion and Eigenvalues and eigenvectors. His research on Inverse scattering transform concerns the broader Inverse scattering problem.

His work in the fields of Inverse scattering problem, such as Quantum inverse scattering method, intersects with other areas such as Fourier inversion theorem. His research in Nonlinear system intersects with topics in Separable partial differential equation and Painlevé transcendents. His Partial differential equation research includes themes of Korteweg–de Vries equation, Space and Mathematical physics.

His most cited work include:

  • Solitons and the Inverse Scattering Transform (3015 citations)
  • The Inverse scattering transform fourier analysis for nonlinear problems (2328 citations)
  • A connection between nonlinear evolution equations and ordinary differential equations of P‐type. II (901 citations)

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

Harvey Segur mainly investigates Mathematical analysis, Classical mechanics, Nonlinear system, Mechanics and Amplitude. His Mathematical analysis research includes elements of Soliton and Inverse scattering problem. The various areas that he examines in his Inverse scattering problem study include Boundary value problem and Scattering theory.

Harvey Segur combines subjects such as Separable partial differential equation, Wavelength, Plane wave and Instability with his study of Nonlinear system. His Amplitude study combines topics in areas such as Waves and shallow water, Theta function and Schrödinger equation. His Inverse scattering transform research incorporates elements of Korteweg–de Vries equation, Kadomtsev–Petviashvili equation and Mathematical physics.

He most often published in these fields:

  • Mathematical analysis (47.78%)
  • Classical mechanics (25.56%)
  • Nonlinear system (23.33%)

What were the highlights of his more recent work (between 2002-2021)?

  • Nonlinear system (23.33%)
  • Classical mechanics (25.56%)
  • Mechanics (17.78%)

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

His scientific interests lie mostly in Nonlinear system, Classical mechanics, Mechanics, Dissipation and Instability. The Nonlinear system study combines topics in areas such as Wavelength and Perturbation. His work deals with themes such as Wave propagation, Surface wave and Amplitude, which intersect with Classical mechanics.

His study in Mechanics is interdisciplinary in nature, drawing from both Gravity wave and Dissipative system. His Instability research focuses on subjects like Mixing, which are linked to Cross-polarized wave generation, Gravitational singularity and Space. His research in Growth rate focuses on subjects like Mathematical analysis, which are connected to Inverse scattering problem.

Between 2002 and 2021, his most popular works were:

  • Stabilizing the Benjamin–Feir instability (133 citations)
  • Progressive waves with persistent two-dimensional surface patterns in deep water (59 citations)
  • Waves in shallow water, with emphasis on the tsunami of 2004 (41 citations)

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

  • Quantum mechanics
  • Mathematical analysis
  • Partial differential equation

Harvey Segur focuses on Nonlinear system, Indian ocean, Surface, Mechanics and Optics. His research integrates issues of Schrödinger equation, Wave tank, Climatology and Dissipation in his study of Nonlinear system. His Dissipation research incorporates elements of Instability, Wave propagation, Classical mechanics, Amplitude and Exponential growth.

His Indian ocean research is multidisciplinary, incorporating elements of Seismology and Waves and shallow water. His Surface research includes themes of Surface wave and Wave field. His work deals with themes such as Swell and Dissipative system, which intersect with Mechanics.

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

Solitons and the Inverse Scattering Transform

Mark J. Ablowitz;Harvey Segur.
(1981)

5607 Citations

Solitons and the Inverse Scattering Transform

Mark J. Ablowitz;Harvey Segur.
(1981)

5607 Citations

The Inverse scattering transform fourier analysis for nonlinear problems

Mark J. Ablowitz;David J. Kaup;Alan C. Newell;Harvey Segur.
Studies in Applied Mathematics (1974)

3400 Citations

The Inverse scattering transform fourier analysis for nonlinear problems

Mark J. Ablowitz;David J. Kaup;Alan C. Newell;Harvey Segur.
Studies in Applied Mathematics (1974)

3400 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

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

Nonlinear-evolution equations of physical significance

Mark J. Ablowitz;David J. Kaup;Alan C. Newell;Harvey Segur.
Physical Review Letters (1973)

1128 Citations

Nonlinear-evolution equations of physical significance

Mark J. Ablowitz;David J. Kaup;Alan C. Newell;Harvey Segur.
Physical Review Letters (1973)

1128 Citations

Method for Solving the Sine-Gordon Equation

M. J. Ablowitz;D. J. Kaup;A. C. Newell;H. Segur.
Physical Review Letters (1973)

1075 Citations

Method for Solving the Sine-Gordon Equation

M. J. Ablowitz;D. J. Kaup;A. C. Newell;H. Segur.
Physical Review Letters (1973)

1075 Citations

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