D-Index & Metrics Best Publications

Martin D. Kruskal

Rutgers, The State University of New Jersey
United States

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 Citations Publications World Ranking National Ranking

Mathematics D-index 32 Citations 22,879 60 World Ranking 2284 National Ranking 963

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 Martin D. Kruskal is best known for:

General relativity
Kerr metric
Schwarzschild metric

His research brings together the fields of Toroid and Plasma. His research on Toroid often connects related topics like Nuclear physics. He performs integrative study on Nuclear physics and Plasma in his works. Much of his study explores Mathematical physics relationship to Deriving the Schwarzschild solution. Deriving the Schwarzschild solution is frequently linked to Gravitation in his study. With his scientific publications, his incorporates both Gravitation and General relativity. Martin D. Kruskal connects General relativity with Schwarzschild geodesics in his research. Schwarzschild geodesics is often connected to Theoretical physics in his work. He connects Theoretical physics with Mathematical physics in his study.

His most cited work include:

Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States (3210 citations)
Maximal Extension of Schwarzschild Metric (712 citations)
Equilibrium of a Magnetically Confined Plasma in a Toroid (411 citations)

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

His work on Nuclear physics as part of general Plasma study is frequently linked to Mechanics, therefore connecting diverse disciplines of science. He undertakes interdisciplinary study in the fields of Nuclear physics and Plasma through his research. His study on Mathematical analysis is mostly dedicated to connecting different topics, such as Singularity and Differential equation. He integrates Differential equation and Mathematical analysis in his research. While working on this project, he studies both Classical mechanics and Mathematical physics. He undertakes interdisciplinary study in the fields of Mathematical physics and Classical mechanics through his research. His study ties his expertise on Nonlinear system together with the subject of Quantum mechanics. Martin D. Kruskal applies his multidisciplinary studies on Pure mathematics and Applied mathematics in his research. In his works, Martin D. Kruskal performs multidisciplinary study on Applied mathematics and Pure mathematics.

Martin D. Kruskal most often published in these fields:

Mathematical analysis (52.38%)
Classical mechanics (38.10%)
Quantum mechanics (33.33%)

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)

5452 Citations

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

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

4814 Citations

Exact Nonlinear Plasma Oscillations

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

1639 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)

1629 Citations

New similarity reductions of the Boussinesq equation

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

1251 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)

1158 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)

1134 Citations

Maximal extension of Schwarzschild metric

M. D. Kruskal.
Physical Review (1960)

951 Citations

Equilibrium of a Magnetically Confined Plasma in a Toroid

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

595 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)

565 Citations

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