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- Willy Hereman

Discipline name
D-index
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.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
32
Citations
5,351
98
World Ranking
2371
National Ranking
1004

- 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.

- 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)

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.

- Nonlinear system (49.57%)
- Mathematical analysis (42.61%)
- Partial differential equation (33.04%)

- Nonlinear system (49.57%)
- Korteweg–de Vries equation (16.52%)
- Integrable system (12.17%)

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.

- 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)

- 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.

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.

The tanh method: I. Exact solutions of nonlinear evolution and wave equations

Willy Malfliet;Willy Hereman.

Physica Scripta **(1996)**

1201 Citations

The tanh method: I. Exact solutions of nonlinear evolution and wave equations

Willy Malfliet;Willy Hereman.

Physica Scripta **(1996)**

1201 Citations

Symbolic methods to construct exact solutions of nonlinear partial differential equations

Willy Hereman;Ameina Nuseir.

Mathematics and Computers in Simulation **(1997)**

426 Citations

Symbolic methods to construct exact solutions of nonlinear partial differential equations

Willy Hereman;Ameina Nuseir.

Mathematics and Computers in Simulation **(1997)**

426 Citations

The tanh method: II. Perturbation technique for conservative systems

Willy Malfliet;Willy Hereman.

Physica Scripta **(1996)**

357 Citations

The tanh method: II. Perturbation technique for conservative systems

Willy Malfliet;Willy Hereman.

Physica Scripta **(1996)**

357 Citations

Exact solitary wave solutions of nonlinear evolution and wave equations using a direct algebraic method

Willy Hereman;Partha P. Banerjee;Adrianus Korpel;Gaetano Assanto.

Journal of Physics A **(1986)**

260 Citations

Exact solitary wave solutions of nonlinear evolution and wave equations using a direct algebraic method

Willy Hereman;Partha P. Banerjee;Adrianus Korpel;Gaetano Assanto.

Journal of Physics A **(1986)**

260 Citations

The computer calculation of Lie point symmetries of large systems of differential equations

B. Champagne;W. Hereman;P. Winternitz.

Computer Physics Communications **(1991)**

252 Citations

The computer calculation of Lie point symmetries of large systems of differential equations

B. Champagne;W. Hereman;P. Winternitz.

Computer Physics Communications **(1991)**

252 Citations

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