What is he best known for?
The fields of study he is best known for:
- Quantum mechanics
- Mathematical analysis
- Algebra
Willy Hereman mainly investigates Mathematical analysis, Partial differential equation, Symbolic computation, Hyperbolic function and Nonlinear system.
Wave equation, Exact solutions in general relativity, Separable partial differential equation and Stochastic partial differential equation are among the areas of Mathematical analysis where the researcher is concentrating his efforts.
The study incorporates disciplines such as Polynomial, Applied mathematics and Differential equation in addition to Partial differential equation.
His research in Polynomial intersects with topics in Soliton, Conservation law and Conserved quantity.
The concepts of his Differential equation study are interwoven with issues in Elliptic function and Ode.
Willy Hereman combines subjects such as Function, Algorithm, Distribution and Test data with his study of Hyperbolic function.
His most cited work include:
- The tanh method: I. Exact solutions of nonlinear evolution and wave equations (768 citations)
- Symbolic methods to construct exact solutions of nonlinear partial differential equations (316 citations)
- The tanh method: II. Perturbation technique for conservative systems (296 citations)
What are the main themes of his work throughout his whole career to date?
His primary areas of investigation include Nonlinear system, Mathematical analysis, Partial differential equation, Symbolic computation and Applied mathematics.
His Nonlinear system research is multidisciplinary, relying on both Conservation law, Polynomial, Algebra and Computation.
His Polynomial research incorporates themes from Elliptic function, Method of undetermined coefficients, Hyperbolic function and Algorithm.
Willy Hereman has included themes like Korteweg–de Vries equation and Nonlinear evolution in his Mathematical analysis study.
His study focuses on the intersection of Partial differential equation and fields such as Soliton with connections in the field of Bilinear interpolation.
His Symbolic computation research includes elements of Exact solutions in general relativity, Theoretical computer science, Software engineering and Ode.
He most often published in these fields:
- Nonlinear system (49.57%)
- Mathematical analysis (42.61%)
- Partial differential equation (33.04%)
What were the highlights of his more recent work (between 2009-2019)?
- Nonlinear system (49.57%)
- Korteweg–de Vries equation (16.52%)
- Integrable system (12.17%)
In recent papers he was focusing on the following fields of study:
Willy Hereman mainly focuses on Nonlinear system, Korteweg–de Vries equation, Integrable system, Symbolic computation and Plasma.
His Nonlinear system research incorporates elements of Conservation law, Partial differential equation, Mathematical analysis and Computation.
His study in Partial differential equation is interdisciplinary in nature, drawing from both Method of undetermined coefficients and Linear algebra.
His research in Mathematical analysis is mostly focused on Cnoidal wave.
His studies in Korteweg–de Vries equation integrate themes in fields like Traveling wave, Perspective and Calculus.
His work on Symbolic-numeric computation as part of his general Symbolic computation study is frequently connected to Symbolic trajectory evaluation and Symbolic communication, thereby bridging the divide between different branches of science.
Between 2009 and 2019, his most popular works were:
- Symbolic computation of conservation laws for nonlinear partial differential equations in multiple space dimensions (70 citations)
- A symbolic algorithm for computing recursion operators of nonlinear partial differential equations (50 citations)
- Head-on collisions of electrostatic solitons in nonthermal plasmas. (45 citations)
In his most recent research, the most cited papers focused on:
- Quantum mechanics
- Mathematical analysis
- Algebra
His main research concerns Nonlinear system, Symbolic computation, Plasma, Integrable system and Conservation law.
Many of his studies involve connections with topics such as Partial differential equation and Nonlinear system.
His biological study spans a wide range of topics, including Method of undetermined coefficients and Applied mathematics.
His research integrates issues of n-connected, Eilenberg–MacLane space and Cofibration in his study of Symbolic computation.
His Conservation law study deals with Linear algebra intersecting with Simultaneous equations, Numerical partial differential equations, Linear combination, Polynomial and Quantum mechanics.
His Lax pair research is within the category of Mathematical analysis.
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