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.
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