W. Malfliet

3.8k total citations · 2 hit papers
30 papers, 3.2k citations indexed

About

W. Malfliet is a scholar working on Statistical and Nonlinear Physics, Mathematical Physics and Atomic and Molecular Physics, and Optics. According to data from OpenAlex, W. Malfliet has authored 30 papers receiving a total of 3.2k indexed citations (citations by other indexed papers that have themselves been cited), including 28 papers in Statistical and Nonlinear Physics, 8 papers in Mathematical Physics and 7 papers in Atomic and Molecular Physics, and Optics. Recurrent topics in W. Malfliet's work include Nonlinear Waves and Solitons (25 papers), Nonlinear Photonic Systems (21 papers) and Advanced Mathematical Physics Problems (7 papers). W. Malfliet is often cited by papers focused on Nonlinear Waves and Solitons (25 papers), Nonlinear Photonic Systems (21 papers) and Advanced Mathematical Physics Problems (7 papers). W. Malfliet collaborates with scholars based in Belgium, Egypt and Netherlands. W. Malfliet's co-authors include Willy Hereman, A. H. Khater, D. K. Callebaut, Aly R. Seadawy, S. Caenepeel and Frank Verheest and has published in prestigious journals such as Physics Letters A, Journal of the Physical Society of Japan and American Journal of Physics.

In The Last Decade

W. Malfliet

30 papers receiving 3.0k citations

Hit Papers

Solitary wave solutions o... 1992 2026 2003 2014 1992 1996 400 800 1.2k
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.

  1. Solitary wave solutions of nonlinear wave equations
    1992 1.3k citations W. Malfliet American Journal of Physics profile →
  2. The tanh method: I. Exact solutions of nonlinear evolution and wave equations
    1996 882 citations W. Malfliet, Willy Hereman Physica Scripta profile →

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
W. Malfliet Belgium 13 2.8k 1.3k 717 481 399 30 3.2k
Willy Hereman United States 26 3.0k 1.1× 1.1k 0.8× 714 1.0× 649 1.3× 469 1.2× 56 3.5k
S.A. El-Wakil Egypt 27 1.9k 0.7× 1.3k 1.0× 689 1.0× 206 0.4× 380 1.0× 116 2.7k
E.J. Parkes United Kingdom 25 2.9k 1.0× 1.0k 0.8× 680 0.9× 503 1.0× 385 1.0× 54 3.2k
Sukeyuki Kumei Canada 14 2.7k 0.9× 697 0.5× 421 0.6× 585 1.2× 635 1.6× 21 3.4k
M. A. Ablowitz United Kingdom 1 4.3k 1.5× 1.0k 0.8× 1.1k 1.6× 986 2.0× 416 1.0× 2 4.5k
Stephen C. Anco Canada 20 2.5k 0.9× 585 0.5× 294 0.4× 585 1.2× 442 1.1× 98 2.8k
A. H. Khater Egypt 21 1.4k 0.5× 638 0.5× 347 0.5× 147 0.3× 322 0.8× 92 1.8k
A. H. Kara South Africa 35 4.0k 1.4× 1.1k 0.9× 1.3k 1.7× 571 1.2× 527 1.3× 222 4.5k
R. K. Dodd Ireland 13 1.8k 0.6× 189 0.1× 742 1.0× 315 0.7× 333 0.8× 40 2.3k
W. K. Schief Australia 26 1.9k 0.7× 164 0.1× 449 0.6× 649 1.3× 226 0.6× 123 2.3k

Countries citing papers authored by W. Malfliet

Since Specialization
Citations

This map shows the geographic impact of W. Malfliet'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 W. Malfliet with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites W. Malfliet more than expected).

Fields of papers citing papers by W. Malfliet

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by W. Malfliet. 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 W. Malfliet. The network helps show where W. Malfliet may publish in the future.

Co-authorship network of co-authors of W. Malfliet

This figure shows the co-authorship network connecting the top 25 collaborators of W. Malfliet. A scholar is included among the top collaborators of W. Malfliet 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 W. Malfliet. W. Malfliet is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Malfliet, W.. (2005). The tanh method: a tool for solving certain classes of non‐linear PDEs. Mathematical Methods in the Applied Sciences. 28(17). 2031–2035. 23 indexed citations
2.
Khater, A. H., et al.. (2004). On the Similarity Solutions of the Inhomogeneous Nonlinear Diffusion Equation via Symmetry Method. Journal of the Physical Society of Japan. 73(1). 42–48. 3 indexed citations
3.
Malfliet, W.. (2003). The tanh method: a tool for solving certain classes of nonlinear evolution and wave equations. Journal of Computational and Applied Mathematics. 164-165. 529–541. 300 indexed citations
4.
Malfliet, W.. (2003). Travelling-wave solutions of coupled nonlinear evolution equations. Mathematics and Computers in Simulation. 62(1-2). 101–108. 5 indexed citations
5.
Khater, A. H., et al.. (2002). Travelling wave solutions of some classes of nonlinear evolution equations in (1+1) and (2+1) dimensions. Journal of Computational and Applied Mathematics. 140(1-2). 469–477. 33 indexed citations
6.
Khater, A. H., et al.. (2002). Bäcklund transformations and exact solutions for some nonlinear evolution equations in solar magnetostatic models. Journal of Computational and Applied Mathematics. 140(1-2). 435–467. 12 indexed citations
7.
Khater, A. H., et al.. (2002). The tanh method, a simple transformation and exact analytical solutions for nonlinear reaction–diffusion equations. Chaos Solitons & Fractals. 14(3). 513–522. 110 indexed citations
8.
Malfliet, W., et al.. (2001). Dressed shock waves in a nonlinear LC circuit. Mathematics and Computers in Simulation. 55(4-6). 541–547. 1 indexed citations
9.
Khater, A. H., D. K. Callebaut, W. Malfliet, & Aly R. Seadawy. (2001). Nonlinear Dispersive Rayleigh–Taylor Instabilities in Magnetohydrodynamic Flows. Physica Scripta. 64(6). 533–547. 95 indexed citations
10.
Verheest, Frank, Willy Hereman, & W. Malfliet. (1999). Comment on “A new mathematical approach for finding the solitary waves in dusty plasma” [Phys. Plasmas 5, 3918 (1998)]. Physics of Plasmas. 6(11). 4392–4393. 11 indexed citations
11.
Malfliet, W.. (1998). Remark on “Shock Wave in a Nonlinear LC Circuit”. Journal of the Physical Society of Japan. 67(2). 701–701. 1 indexed citations
12.
Malfliet, W., et al.. (1996). Exact Solutions of an Isothermal Autocatalytic System. Journal of the Physical Society of Japan. 65(5). 1510–1510. 3 indexed citations
13.
Malfliet, W. & Willy Hereman. (1996). The tanh method: II. Perturbation technique for conservative systems. Physica Scripta. 54(6). 569–575. 300 indexed citations
14.
Malfliet, W. & Willy Hereman. (1996). The tanh method: I. Exact solutions of nonlinear evolution and wave equations. Physica Scripta. 54(6). 563–568. 882 indexed citations breakdown →
15.
Malfliet, W.. (1994). The Tanh method in nonlinear wave theory. 1 indexed citations
16.
Malfliet, W.. (1993). Approximate solution of the damped Burgers equation. Journal of Physics A Mathematical and General. 26(16). L723–L728. 35 indexed citations
17.
Malfliet, W.. (1992). Solitary wave solutions of nonlinear wave equations. American Journal of Physics. 60(7). 650–654. 1270 indexed citations breakdown →
18.
Malfliet, W., et al.. (1985). A study of two interacting KdV-solitons. Lettere al nuovo cimento della societa italiana di fisica/Lettere al nuovo cimento. 42(4). 179–183. 4 indexed citations
19.
Malfliet, W.. (1970). A general kinetic equation for weakly turbulent homogeneous systems. Physics Letters A. 31(3). 138–139. 2 indexed citations
20.
Malfliet, W.. (1969). A theory of homogeneous turbulence deduced from the Burgers equation. Physica. 45(2). 257–271. 6 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.

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