Willy Hereman

4.6k total citations · 2 hit papers
56 papers, 3.5k citations indexed

About

Willy Hereman is a scholar working on Statistical and Nonlinear Physics, Atomic and Molecular Physics, and Optics and Numerical Analysis. According to data from OpenAlex, Willy Hereman has authored 56 papers receiving a total of 3.5k indexed citations (citations by other indexed papers that have themselves been cited), including 40 papers in Statistical and Nonlinear Physics, 17 papers in Atomic and Molecular Physics, and Optics and 16 papers in Numerical Analysis. Recurrent topics in Willy Hereman's work include Nonlinear Waves and Solitons (40 papers), Nonlinear Photonic Systems (29 papers) and Numerical methods for differential equations (16 papers). Willy Hereman is often cited by papers focused on Nonlinear Waves and Solitons (40 papers), Nonlinear Photonic Systems (29 papers) and Numerical methods for differential equations (16 papers). Willy Hereman collaborates with scholars based in United States, Belgium and South Africa. Willy Hereman's co-authors include W. Malfliet, Ameina S. Nuseir, Ünal Göktaş, Frank Verheest, D. Baldwin, Masanori Takaoka, Partha P. Banerjee, A. Korpel, P. Winternitz and M. A. Hellberg and has published in prestigious journals such as Monthly Notices of the Royal Astronomical Society, Computer Physics Communications and Journal of the Optical Society of America A.

In The Last Decade

Willy Hereman

55 papers receiving 3.2k citations

Hit Papers

align trajectories

What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

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

1996 882 citations Willy Hereman et al. Physica Scripta profile →
Symbolic methods to construct exact solutions of nonlinear partial differential equations

1997 385 citations Willy Hereman et al. profile →

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name	h						Papers	Cites
Willy Hereman United States	26	3.0k	1.1k	714	649	469	56	3.5k
W. Malfliet Belgium	13	2.8k 1.0×	1.3k 1.2×	717 1.0×	481 0.7×	399 0.9×	30	3.2k
Philip Rosenau Israel	38	3.7k 1.2×	803 0.8×	696 1.0×	607 0.9×	619 1.3×	126	5.6k
C. Rogers Australia	31	2.8k 0.9×	337 0.3×	725 1.0×	743 1.1×	496 1.1×	203	3.7k
Nail H. Ibragimov Sweden	28	3.3k 1.1×	1.0k 0.9×	1.1k 1.6×	691 1.1×	866 1.8×	127	4.8k
M. A. Ablowitz United Kingdom	1	4.3k 1.4×	1.0k 1.0×	1.1k 1.6×	986 1.5×	416 0.9×	2	4.5k
S.A. El-Wakil Egypt	27	1.9k 0.6×	1.3k 1.2×	689 1.0×	206 0.3×	380 0.8×	116	2.7k
Sukeyuki Kumei Canada	14	2.7k 0.9×	697 0.7×	421 0.6×	585 0.9×	635 1.4×	21	3.4k
A. H. Kara South Africa	35	4.0k 1.3×	1.1k 1.1×	1.3k 1.8×	571 0.9×	527 1.1×	222	4.5k
Stephen C. Anco Canada	20	2.5k 0.8×	585 0.6×	294 0.4×	585 0.9×	442 0.9×	98	2.8k
Bo Tian China	29	2.1k 0.7×	518 0.5×	620 0.9×	324 0.5×	169 0.4×	99	2.3k

Countries citing papers authored by Willy Hereman

Since Specialization

Citations

This map shows the geographic impact of Willy Hereman's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Willy Hereman with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Willy Hereman more than expected).

Fields of papers citing papers by Willy Hereman

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Willy Hereman. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Willy Hereman. The network helps show where Willy Hereman may publish in the future.

Co-authorship network of co-authors of Willy Hereman

This figure shows the co-authorship network connecting the top 25 collaborators of Willy Hereman. A scholar is included among the top collaborators of Willy Hereman based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Willy Hereman. Willy Hereman is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

Sort: Min cites: Since: Top N: Style:

20 of 20 papers shown

Naz, Rehana & Willy Hereman. (2025). Lie symmetries, closed-form solutions, and conservation laws of a constitutive equation modeling stress in elastic materials. Partial Differential Equations in Applied Mathematics. 13. 101054–101054. 1 indexed citations

Hereman, Willy & Ünal Göktaş. (2024). Using Symmetries to Investigate the Complete Integrability, Solitary Wave Solutions and Solitons of the Gardner Equation. Mathematical and Computational Applications. 29(5). 91–91. 3 indexed citations

Verheest, Frank & Willy Hereman. (2019). Collisions of acoustic solitons and their electric fields in plasmas at critical compositions. Journal of Plasma Physics. 85(1). 17 indexed citations

Verheest, Frank, et al.. (2018). Collision properties of overtaking supersolitons with small amplitudes. Physics of Plasmas. 25(3). 20 indexed citations

Curtis, Christopher W., et al.. (2015). Nonlinear Wave Equations. Contemporary mathematics - American Mathematical Society. 5 indexed citations

Hereman, Willy, et al.. (2012). An introduction to diffusion maps. SUNScholar (Stellenbosch University). 15 indexed citations

Verheest, Frank, M. A. Hellberg, & Willy Hereman. (2012). Head-on collisions of electrostatic solitons in nonthermal plasmas. Physical Review E. 86(3). 36402–36402. 71 indexed citations

Hereman, Willy, et al.. (2011). Symbolic computation of conservation laws for nonlinear partial differential equations in multiple space dimensions. Journal of Symbolic Computation. 46(12). 1355–1377. 21 indexed citations

Baldwin, D., et al.. (2004). Symbolic computation of exact solutions expressible in hyperbolic and elliptic functions for nonlinear PDEs. Journal of Symbolic Computation. 37(6). 669–705. 124 indexed citations

10.

DeSanto, J. A., et al.. (2001). Theoretical and computational aspects of scattering from periodic surfaces: two-dimensional perfectly reflecting surfaces using the spectral-coordinate method. Waves in Random Media. 11(4). 455–487. 3 indexed citations

11.

Monzón, Lucas, Gregory Beylkin, & Willy Hereman. (1999). Compactly Supported Wavelets Based on Almost Interpolating and Nearly Linear Phase Filters (Coiflets). Applied and Computational Harmonic Analysis. 7(2). 184–210. 34 indexed citations

12.

Navidi, William, William S. Murphy, & Willy Hereman. (1998). Statistical methods in surveying by trilateration. Computational Statistics & Data Analysis. 27(2). 209–227. 72 indexed citations

13.

DeSanto, J. A., et al.. (1998). Theoretical and computational aspects of scattering from rough surfaces: one-dimensional perfectly reflecting surfaces. Waves in Random Media. 8(4). 385–414. 28 indexed citations

14.

Göktaş, Ünal & Willy Hereman. (1997). Symbolic Computation of Conserved Densities for Systems of Nonlinear Evolution Equations. Journal of Symbolic Computation. 24(5). 591–622. 122 indexed citations

15.

Willox, Ralph, Willy Hereman, & Frank Verheest. (1995). Complete integrability of a modified vector derivative nonlinear Schrödinger equation. Physica Scripta. 52(1). 21–26. 13 indexed citations

16.

Hereman, Willy, et al.. (1994). Symbolic Computation of Solitons via Hirota's Bilinear Method. 9 indexed citations

17.

Hereman, Willy, W.‐H. Steeb, & Norbert Euler. (1992). Comment on 'Towards the conservation laws and Lie symmetries for the Khokhlov-Zabolotskaya equation in three dimensions'. Journal of Physics A Mathematical and General. 25(8). 2417–2418. 5 indexed citations

18.

Hereman, Willy & Eric Van den Bulck. (1988). Macsyma Program For The Painleve Test Of Nonlinear Ordinary And Partial Differential Equations. 1 indexed citations

19.

Hereman, Willy, A. Korpel, & Partha P. Banerjee. (1985). A general physical approach to solitary wave construction from linear solutions. Wave Motion. 7(3). 283–289. 50 indexed citations

20.

Verheest, Frank & Willy Hereman. (1979). Nonresonant Mode Coupling for Classes of Korteweg-de Vries Equations. Journal of the Physical Society of Japan. 47(6). 2007–2012. 1 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

Explore authors with similar magnitude of impact