2026 Martin D. Kruskal: Mathematics Researcher – H-Index, Publications & Awards

Discipline name	D-Index	World Ranking	National Ranking	Publications	Citations
Mathematics	37	2408	1007	79	26364

Discipline name

D-Index

World Ranking

National Ranking

Publications

Citations

Mathematics

2408

1007

26364

Research.com Recognitions

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

Martin D. Kruskal was affiliated with Rutgers, The State University of New Jersey in the United States. The scientist's career included contributions to nonlinear science, particularly work related to the theory of soliton solutions of nonlinear evolution equations.

Kruskal received multiple awards throughout their career. These included the Steele Prize for Seminal Contribution to Research in 2006 and the distinction of John von Neumann Lecturer in 1994. Additionally, in 1993, they were awarded the US President's National Medal of Science. The medal was presented by President Clinton and Vice President Gore at a ceremony on the White House South Lawn, with the citation highlighting their influence as a leader in nonlinear science for more than two decades and as the principal architect of the theory of soliton solutions of nonlinear equations of evolution. Earlier, in 1980, Kruskal was recognized as a Member of the National Academy of Sciences.

Best Publications

Method for solving the Korteweg-deVries equation

Clifford S. Gardner;John M. Greene;Martin D. Kruskal;Robert M. Miura

6160
Citations
Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States

N. J. Zabusky;M. D. Kruskal

5496
Citations
Exact Nonlinear Plasma Oscillations

Ira B. Bernstein;John M. Greene;Martin D. Kruskal

1752
Citations
An Energy Principle for Hydromagnetic Stability Problems

I. B. Bernstein;E. A. Frieman;Martin David Kruskal;R. M. Kulsrud

1678
Citations
New similarity reductions of the Boussinesq equation

Peter A. Clarkson;Martin D. Kruskal

1363
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

1331
Citations
Korteweg-devries equation and generalizations. VI. methods for exact solution

Clifford S. Gardner;John M. Greene;Martin D. Kruskal;Robert M. Miura

1192
Citations
Maximal extension of Schwarzschild metric

M. D. Kruskal

1097
Citations
Equilibrium of a Magnetically Confined Plasma in a Toroid

M. D. Kruskal;R. M. Kulsrud

633
Citations
Some instabilities of a completely ionized plasma

Martin David Kruskal;Martin Schwarzschild

607
Citations
Asymptotic Theory of Hamiltonian and other Systems with all Solutions Nearly Periodic

Martin Kruskal

562
Citations
On the Stability of Plasma in Static Equilibrium

M. D. Kruskal;C. R. Oberman

453
Citations
Nonexistence of Small Amplitude Breather Solutions in $\phi^4$ Theory

H Segur

311
Citations
Painlevé test for the self-dual Yang-Mills equation

M. Jimbo;M. Jimbo;M.D. Kruskal;T. Miwa;T. Miwa

303
Citations
Korteweg‐deVries Equation and Generalizations. V. Uniqueness and Nonexistence of Polynomial Conservation Laws

Martin D. Kruskal;Robert M. Miura;Clifford S. Gardner;Norman J. Zabusky

287
Citations
Solitary wave collisions

M. J. Ablowitz;M D. Kruskal;J. F. Ladik

222
Citations
Asymptotics beyond all orders in a model of crystal growth

Martin D. Kruskal;Harvey Segur

210
Citations
Nonlinear wave equations

Martin Kruskal

174
Citations
Asymptotics beyond all orders

M.D. Kruskal;H. Segur

159
Citations
A two-parameter Miura transformation of the Benjamin-Ono equation

T.L. Bock;M.D. Kruskal

153
Citations

Frequent Co-Authors

Harvey Segur University of Colorado Boulder

Peter A. Clarkson University of Kent

Mark J. Ablowitz University of Colorado Boulder

Jarmo Hietarinta University of Turku

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