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 30 Citations 15,596 48 World Ranking 2183 National Ranking 918

Research.com Recognitions

Awards & Achievements

2006 - Steele Prize for Seminal Contribution to Research

1994 - John von Neumann Lecturer

1993 - US President's National Medal of Science "For his influence as a leader in nonlinear science for more than two decades as the principal architect of the theory of soliton solutions of nonlinear equations of evolution.", Presented by President Clinton and Vice President Gore at a ceremony on the White House South Lawn, September 30, 1993.

1980 - Member of the National Academy of Sciences

Overview

What is he best known for?

The fields of study he is best known for:

  • Quantum mechanics
  • Mathematical analysis
  • Geometry

Martin D. Kruskal mainly investigates Mathematical physics, Plasma, Magnetohydrodynamics, Korteweg–de Vries equation and Classical mechanics. His Mathematical physics research includes elements of Exact differential equation, Singularity, Simple, Exact solutions in general relativity and Applied mathematics. His Plasma research is multidisciplinary, incorporating elements of Magnetic field and Atomic physics.

His work on Magnetohydrodynamics is being expanded to include thematically relevant topics such as Differential equation. His work is dedicated to discovering how Korteweg–de Vries equation, Partial differential equation are connected with Constant, Vries equation, Finite set and Initial value problem and other disciplines. His biological study spans a wide range of topics, including Landau damping, Nonlinear system and Distribution.

His most cited work include:

  • Method for solving the Korteweg-deVries equation (3242 citations)
  • Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States (2747 citations)
  • An Energy Principle for Hydromagnetic Stability Problems (1017 citations)

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

The scientist’s investigation covers issues in Mathematical analysis, Differential equation, Nonlinear system, Partial differential equation and Classical mechanics. His work in Mathematical analysis tackles topics such as Connection which are related to areas like Algebra. His Partial differential equation research is multidisciplinary, incorporating elements of Korteweg–de Vries equation, Initial value problem, Gravitational singularity and Mathematical physics.

His Initial value problem study incorporates themes from Vries equation, Exponential growth, Finite set and Constant. His research in Classical mechanics intersects with topics in Fluid dynamics, Inelastic collision, Magnetic field and Plasma. Martin D. Kruskal has included themes like Momentum and Fermi–Pasta–Ulam problem in his Magnetohydrodynamics study.

He most often published in these fields:

  • Mathematical analysis (50.00%)
  • Differential equation (39.71%)
  • Nonlinear system (20.59%)

What were the highlights of his more recent work (between 1993-2006)?

  • Mathematical analysis (50.00%)
  • Differential equation (39.71%)
  • Gravitational singularity (10.29%)

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

His primary areas of study are Mathematical analysis, Differential equation, Gravitational singularity, Singularity and Nonlinear system. His Differential equation study combines topics from a wide range of disciplines, such as Complex plane and Pure mathematics, Integrable system. His work carried out in the field of Gravitational singularity brings together such families of science as Analytic function, Partial differential equation, Second order equation and Direct proof.

His Partial differential equation research is multidisciplinary, relying on both Borel summation, Divergent series, Applied mathematics and Mathematical physics. His study in Mathematical physics is interdisciplinary in nature, drawing from both Fault, Korteweg–de Vries equation, Adiabatic invariant and Schrödinger equation. In his research on the topic of Singularity, Compact space and Dynamical system is strongly related with Conserved quantity.

Between 1993 and 2006, his most popular works were:

  • A direct proof that solutions of the six Painlevé equations have no movable singularities except poles (47 citations)
  • On optimal truncation of divergent series solutions of nonlinear differential systems (36 citations)
  • Analytic and asymptotic methods for nonlinear singularity analysis: a review and extensions of tests for the Painlevé property (30 citations)

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

  • Quantum mechanics
  • Mathematical analysis
  • Geometry

Martin D. Kruskal spends much of his time researching Singularity, Mathematical analysis, Gravitational singularity, Nonlinear system and Analytic function. The study incorporates disciplines such as Series and First-order partial differential equation in addition to Singularity. The concepts of his Series study are interwoven with issues in Truncation, Asymptotic expansion and Complex plane.

Martin D. Kruskal is doing genetic studies as part of his Partial differential equation and Differential equation and First-order partial differential equation investigations. His Analytic function study integrates concerns from other disciplines, such as Second order equation and Direct proof.

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

Method for solving the Korteweg-deVries equation

Clifford S. Gardner;John M. Greene;Martin D. Kruskal;Robert M. Miura.
Physical Review Letters (1967)

5324 Citations

Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States

N. J. Zabusky;M. D. Kruskal.
Physical Review Letters (1965)

4679 Citations

An Energy Principle for Hydromagnetic Stability Problems

I. B. Bernstein;E. A. Frieman;Martin David Kruskal;R. M. Kulsrud.
Proceedings of The Royal Society A: Mathematical, Physical and Engineering Sciences (1958)

1614 Citations

Exact Nonlinear Plasma Oscillations

Ira B. Bernstein;John M. Greene;Martin D. Kruskal.
Physical Review (1957)

1612 Citations

New similarity reductions of the Boussinesq equation

Peter A. Clarkson;Martin D. Kruskal.
Journal of Mathematical Physics (1989)

1186 Citations

Korteweg‐de Vries Equation and Generalizations. II. Existence of Conservation Laws and Constants of Motion

Robert M. Miura;Clifford S. Gardner;Martin D. Kruskal.
Journal of Mathematical Physics (1968)

1129 Citations

Korteweg-devries equation and generalizations. VI. methods for exact solution

Clifford S. Gardner;John M. Greene;Martin D. Kruskal;Robert M. Miura.
Communications on Pure and Applied Mathematics (1974)

1117 Citations

Maximal extension of Schwarzschild metric

M. D. Kruskal.
Physical Review (1960)

933 Citations

Equilibrium of a Magnetically Confined Plasma in a Toroid

M. D. Kruskal;R. M. Kulsrud.
Physics of Fluids (1958)

587 Citations

Some instabilities of a completely ionized plasma

Martin David Kruskal;Martin Schwarzschild.
Proceedings of The Royal Society A: Mathematical, Physical and Engineering Sciences (1954)

559 Citations

If you think any of the details on this page are incorrect, let us know.

Contact us

Best Scientists Citing Martin D. Kruskal

Mark J. Ablowitz

Mark J. Ablowitz

University of Colorado Boulder

Publications: 62

Peter A. Clarkson

Peter A. Clarkson

University of Kent

Publications: 61

Bo Tian

Bo Tian

Beijing University of Posts and Telecommunications

Publications: 40

Abdul-Majid Wazwaz

Abdul-Majid Wazwaz

Saint Xavier University

Publications: 38

Hongqing Zhang

Hongqing Zhang

Dalian University of Technology

Publications: 37

Wen-Xiu Ma

Wen-Xiu Ma

University of South Florida

Publications: 35

Bo Tian

Bo Tian

Beijing University of Posts and Telecommunications

Publications: 35

Yong Chen

Yong Chen

East China Normal University

Publications: 34

Willy Hereman

Willy Hereman

Colorado School of Mines

Publications: 32

Gerald Teschl

Gerald Teschl

University of Vienna

Publications: 32

Manuel G. Velarde

Manuel G. Velarde

Complutense University of Madrid

Publications: 29

Athanassios S. Fokas

Athanassios S. Fokas

University of Cambridge

Publications: 28

Alfred Ramani

Alfred Ramani

École Polytechnique

Publications: 27

Aly R. Seadawy

Aly R. Seadawy

Taibah University

Publications: 24

Zhenya Yan

Zhenya Yan

Chinese Academy of Sciences

Publications: 22

Pavel Winternitz

Pavel Winternitz

University of Montreal

Publications: 22

Trending Scientists

Belle L. Tseng

Belle L. Tseng

Apple (United States)

Stephen W. Keckler

Stephen W. Keckler

Nvidia (United States)

Guy H. Walker

Guy H. Walker

Heriot-Watt University

Sanghoon Kook

Sanghoon Kook

UNSW Sydney

S. Bruce King

S. Bruce King

Wake Forest University

Jacob Aboudi

Jacob Aboudi

Tel Aviv University

Paul S. Burgoyne

Paul S. Burgoyne

Medical Research Council

Krishna N. Reddy

Krishna N. Reddy

Agricultural Research Service

Henry R. Mahler

Henry R. Mahler

Indiana University

Diego H. Castrillon

Diego H. Castrillon

The University of Texas Southwestern Medical Center

Frank Pattyn

Frank Pattyn

Université Libre de Bruxelles

Thomas Litt

Thomas Litt

University of Bonn

Peter H. Burkill

Peter H. Burkill

Plymouth University

Etienne Audinat

Etienne Audinat

University of Montpellier

Peter Fleming

Peter Fleming

University of Technology Sydney

Davis Jenkins

Davis Jenkins

Columbia University

Something went wrong. Please try again later.