Mathew A. Johnson

1.2k total citations
38 papers, 597 citations indexed

About

Mathew A. Johnson is a scholar working on Mathematical Physics, Statistical and Nonlinear Physics and Computer Networks and Communications. According to data from OpenAlex, Mathew A. Johnson has authored 38 papers receiving a total of 597 indexed citations (citations by other indexed papers that have themselves been cited), including 28 papers in Mathematical Physics, 24 papers in Statistical and Nonlinear Physics and 10 papers in Computer Networks and Communications. Recurrent topics in Mathew A. Johnson's work include Advanced Mathematical Physics Problems (25 papers), Nonlinear Photonic Systems (18 papers) and Nonlinear Waves and Solitons (18 papers). Mathew A. Johnson is often cited by papers focused on Advanced Mathematical Physics Problems (25 papers), Nonlinear Photonic Systems (18 papers) and Nonlinear Waves and Solitons (18 papers). Mathew A. Johnson collaborates with scholars based in United States, France and Germany. Mathew A. Johnson's co-authors include Kevin Zumbrun, Pascal Noble, Jared C. Bronski, Vera Mikyoung Hur, Todd Kapitula, L. Miguel Rodrigues, Russell B. Mesler, P. C. Clemmow, Luı́s Rodrigues and Mariana Hărăguş and has published in prestigious journals such as SHILAP Revista de lepidopterología, AIChE Journal and Communications in Mathematical Physics.

In The Last Decade

Mathew A. Johnson

35 papers receiving 567 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Mathew A. Johnson United States 17 348 318 105 89 88 38 597
Mariana Hărăguş France 12 319 0.9× 212 0.7× 183 1.7× 55 0.6× 48 0.5× 26 603
Jürgen Scheurle Germany 10 359 1.0× 145 0.5× 66 0.6× 102 1.1× 28 0.3× 30 554
H.A. Erbay Türkiye 15 335 1.0× 161 0.5× 15 0.1× 48 0.5× 75 0.9× 55 675
Dmitry Treschev Russia 14 367 1.1× 172 0.5× 74 0.7× 73 0.8× 17 0.2× 49 530
Pascal Noble France 15 152 0.4× 144 0.5× 104 1.0× 75 0.8× 215 2.4× 43 475
V. I. Yudovich Russia 14 164 0.5× 210 0.7× 78 0.7× 111 1.2× 389 4.4× 54 841
Vyacheslav O. Vakhnenko Ukraine 15 1.0k 2.9× 288 0.9× 30 0.3× 26 0.3× 20 0.2× 39 1.2k
Àlex Haro Spain 13 528 1.5× 204 0.6× 111 1.1× 52 0.6× 36 0.4× 37 669
M‎. ‎B‎. Almatrafi Saudi Arabia 19 503 1.4× 108 0.3× 36 0.3× 13 0.1× 30 0.3× 55 827
B. Buffoni United Kingdom 12 257 0.7× 201 0.6× 64 0.6× 30 0.3× 27 0.3× 24 607

Countries citing papers authored by Mathew A. Johnson

Since Specialization
Citations

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

Fields of papers citing papers by Mathew A. Johnson

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Mathew A. Johnson. 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 Mathew A. Johnson. The network helps show where Mathew A. Johnson may publish in the future.

Co-authorship network of co-authors of Mathew A. Johnson

This figure shows the co-authorship network connecting the top 25 collaborators of Mathew A. Johnson. A scholar is included among the top collaborators of Mathew A. Johnson 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 Mathew A. Johnson. Mathew A. Johnson 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.
Johnson, Mathew A., et al.. (2025). Modulational stability of wave trains in the Camassa-Holm equation. Journal of Differential Equations. 446. 113627–113627.
2.
Johnson, Mathew A., et al.. (2024). Orbital Stability of Smooth Solitary Waves for the Novikov Equation. Journal of Nonlinear Science. 34(6). 1 indexed citations
3.
Hărăguş, Mariana, et al.. (2024). Nonlinear Subharmonic Dynamics of Spectrally Stable Lugiato–Lefever Periodic Waves. Communications in Mathematical Physics. 405(10). 1 indexed citations
4.
Johnson, Mathew A., et al.. (2024). Orbital stability of periodic traveling waves in the b-Camassa–Holm equation. Physica D Nonlinear Phenomena. 461. 134105–134105. 5 indexed citations
5.
Hărăguş, Mariana, et al.. (2022). Nonlinear modulational dynamics of spectrally stable Lugiato–Lefever periodic waves. Annales de l Institut Henri Poincaré C Analyse Non Linéaire. 40(4). 769–802. 7 indexed citations
6.
Johnson, Mathew A., et al.. (2019). Existence of a Highest Wave in a Fully Dispersive Two-Way Shallow Water Model. Rose-Hulman Scholar (Rose–Hulman Institute of Technology). 9 indexed citations
7.
Rubery, Jill, et al.. (2017). Human Development Report for Greater Manchester: Human Development Across the Life Course. Research Explorer (The University of Manchester). 3 indexed citations
8.
Hur, Vera Mikyoung & Mathew A. Johnson. (2015). Stability of Periodic Traveling Waves for Nonlinear Dispersive Equations. SIAM Journal on Mathematical Analysis. 47(5). 3528–3554. 20 indexed citations
9.
Johnson, Mathew A., Pascal Noble, Luı́s Rodrigues, & Kevin Zumbrun. (2014). Spectral stability of periodic wave trains of the Korteweg-de Vries/Kuramoto-Sivashinsky equation in the Korteweg-de Vries limit. Transactions of the American Mathematical Society. 367(3). 2159–2212. 16 indexed citations
10.
Johnson, Mathew A., et al.. (2013). Behavior of periodic solutions of viscous conservation laws under localized and nonlocalized perturbations. Inventiones mathematicae. 197(1). 115–213. 34 indexed citations
11.
Johnson, Mathew A., et al.. (2013). Nonlinear modulational stability of periodic traveling-wave solutions of the generalized Kuramoto–Sivashinsky equation. Physica D Nonlinear Phenomena. 258. 11–46. 29 indexed citations
12.
Johnson, Mathew A., Pascal Noble, L. Miguel Rodrigues, & Kevin Zumbrun. (2012). Nonlocalized Modulation of Periodic Reaction Diffusion Waves: Nonlinear Stability. Archive for Rational Mechanics and Analysis. 207(2). 693–715. 19 indexed citations
13.
Johnson, Mathew A. & Kevin Zumbrun. (2012). Convergence of Hill's Method for Nonselfadjoint Operators. SIAM Journal on Numerical Analysis. 50(1). 64–78. 14 indexed citations
14.
Johnson, Mathew A. & Kevin Zumbrun. (2011). Nonlinear Stability of Periodic Traveling-Wave Solutions of Viscous Conservation Laws in Dimensions One and Two. SIAM Journal on Applied Dynamical Systems. 10(1). 189–211. 12 indexed citations
15.
Johnson, Mathew A., et al.. (2010). Whitham averaged equations and modulational stability of periodic traveling waves of a hyperbolic-parabolic balance law. Journées Équations aux dérivées partielles. 1–24. 9 indexed citations
16.
Johnson, Mathew A.. (2010). On the stability of periodic solutions of the generalized Benjamin–Bona–Mahony equation. Physica D Nonlinear Phenomena. 239(19). 1892–1908. 17 indexed citations
17.
Bronski, Jared C. & Mathew A. Johnson. (2009). The Modulational Instability for a Generalized Korteveg-DeVries equation. arXiv (Cornell University). 7 indexed citations
18.
Bronski, Jared C. & Mathew A. Johnson. (2009). Krein Signatures for the Faddeev-Takhtajan Eigenvalue Problem. Communications in Mathematical Physics. 288(3). 821–846. 4 indexed citations
19.
Johnson, Mathew A.. (2009). On the stability of periodic solutions of nonlinear dispersive equations. 1 indexed citations
20.
Johnson, Mathew A., et al.. (2004). Non-Destructive Testing of Thermal Resistances for a Single Inclusion in a 2-Dimensional Domain. Cardinal Scholar (Ball State University). 6(1). 7. 2 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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