What is he best known for?
The fields of study he is best known for:
- Quantum mechanics
- Mathematical analysis
- Nonlinear system
Mark J. Ablowitz mostly deals with Mathematical analysis, Nonlinear system, Inverse scattering transform, Inverse scattering problem and Mathematical physics.
The concepts of his Mathematical analysis study are interwoven with issues in Korteweg–de Vries equation and Soliton.
His Nonlinear system research incorporates elements of Separable partial differential equation, Optics, Examples of differential equations and Differential equation.
His biological study spans a wide range of topics, including Split-step method, Nonlinear Schrödinger equation, Fourier transform and Benjamin–Ono equation.
His Inverse scattering problem research integrates issues from Initial value problem, Eigenvalues and eigenvectors, Boundary value problem and Scattering theory.
As part of the same scientific family, Mark J. Ablowitz usually focuses on Mathematical physics, concentrating on Schrödinger equation and intersecting with Wave equation, Cubic form, Wave packet and Kondratiev wave.
His most cited work include:
- Solitons and the Inverse Scattering Transform (3015 citations)
- Solitons, nonlinear evolution equations and inverse scattering (2994 citations)
- The Inverse scattering transform fourier analysis for nonlinear problems (2328 citations)
What are the main themes of his work throughout his whole career to date?
His scientific interests lie mostly in Nonlinear system, Mathematical analysis, Inverse scattering transform, Soliton and Mathematical physics.
The study incorporates disciplines such as Integrable system, Schrödinger's cat, Classical mechanics and Schrödinger equation in addition to Nonlinear system.
His work carried out in the field of Classical mechanics brings together such families of science as Amplitude and Nonlinear optics.
In his study, Dispersionless equation is inextricably linked to Korteweg–de Vries equation, which falls within the broad field of Mathematical analysis.
His Inverse scattering transform research is multidisciplinary, incorporating perspectives in Initial value problem and Split-step method.
His Soliton research is multidisciplinary, relying on both Eigenvalues and eigenvectors, Eigenfunction and Dispersion, Optics.
He most often published in these fields:
- Nonlinear system (42.32%)
- Mathematical analysis (42.82%)
- Inverse scattering transform (20.40%)
What were the highlights of his more recent work (between 2010-2021)?
- Nonlinear system (42.32%)
- Mathematical analysis (42.82%)
- Soliton (19.65%)
In recent papers he was focusing on the following fields of study:
Mark J. Ablowitz spends much of his time researching Nonlinear system, Mathematical analysis, Soliton, Classical mechanics and Mathematical physics.
His specific area of interest is Nonlinear system, where Mark J. Ablowitz studies Nonlinear Schrödinger equation.
Mark J. Ablowitz has researched Mathematical analysis in several fields, including Korteweg–de Vries equation and Shock wave.
The various areas that Mark J. Ablowitz examines in his Soliton study include Laser and Optics.
He combines subjects such as Space and Conservation law with his study of Mathematical physics.
Mark J. Ablowitz has included themes like Eigenvalues and eigenvectors and Boundary value problem in his Inverse scattering transform study.
Between 2010 and 2021, his most popular works were:
- Integrable nonlocal nonlinear Schrödinger equation. (377 citations)
- Inverse scattering transform for the integrable nonlocal nonlinear Schrödinger equation (256 citations)
- Nonlinear Dispersive Waves: Asymptotic Analysis and Solitons (242 citations)
In his most recent research, the most cited papers focused on:
- Quantum mechanics
- Mathematical analysis
- Nonlinear system
Mark J. Ablowitz mainly focuses on Nonlinear system, Mathematical physics, Mathematical analysis, Nonlinear Schrödinger equation and Soliton.
His work deals with themes such as Perturbation theory, Edge states, Schrödinger equation, Schrödinger's cat and Classical mechanics, which intersect with Nonlinear system.
His Mathematical analysis study integrates concerns from other disciplines, such as Dispersion relation and Shock wave.
Mark J. Ablowitz interconnects Kadomtsev–Petviashvili equation, Dispersionless equation, Nonlinear optics and Inverse scattering transform in the investigation of issues within Nonlinear Schrödinger equation.
The study of Inverse scattering transform is intertwined with the study of Korteweg–de Vries equation in a number of ways.
His Soliton research focuses on Optics and how it relates to Geometry.
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