Todd Kapitula

2.8k total citations
52 papers, 1.7k citations indexed

About

Todd Kapitula is a scholar working on Statistical and Nonlinear Physics, Mathematical Physics and Atomic and Molecular Physics, and Optics. According to data from OpenAlex, Todd Kapitula has authored 52 papers receiving a total of 1.7k indexed citations (citations by other indexed papers that have themselves been cited), including 43 papers in Statistical and Nonlinear Physics, 21 papers in Mathematical Physics and 19 papers in Atomic and Molecular Physics, and Optics. Recurrent topics in Todd Kapitula's work include Nonlinear Photonic Systems (37 papers), Nonlinear Waves and Solitons (21 papers) and Advanced Mathematical Physics Problems (19 papers). Todd Kapitula is often cited by papers focused on Nonlinear Photonic Systems (37 papers), Nonlinear Waves and Solitons (21 papers) and Advanced Mathematical Physics Problems (19 papers). Todd Kapitula collaborates with scholars based in United States, Germany and United Kingdom. Todd Kapitula's co-authors include Björn Sandstede, P. G. Kevrekidis, Keith Promislow, Christopher K. R. T. Jones, Robert Gardner, J. Nathan Kutz, Boris A. Malomed, Mathew A. Johnson, Jared C. Bronski and Jonathan E. Rubin and has published in prestigious journals such as Communications in Mathematical Physics, Physics Letters A and Communications on Pure and Applied Mathematics.

In The Last Decade

Todd Kapitula

51 papers receiving 1.6k citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Todd Kapitula United States 26 1.1k 694 507 398 215 52 1.7k
Wael W. Mohammed Saudi Arabia 25 1.6k 1.4× 202 0.3× 378 0.7× 164 0.4× 160 0.7× 136 2.1k
Richard Cushman Netherlands 24 1.0k 0.9× 296 0.4× 371 0.7× 95 0.2× 95 0.4× 73 1.7k
E. Presutti Italy 20 484 0.4× 746 1.1× 219 0.4× 64 0.2× 159 0.7× 77 1.4k
Àngel Jorba Spain 26 1.2k 1.0× 307 0.4× 95 0.2× 146 0.4× 59 0.3× 103 2.4k
Changzheng Qu China 30 2.6k 2.3× 688 1.0× 148 0.3× 57 0.1× 262 1.2× 194 2.9k
Russell Johnson United States 22 704 0.6× 820 1.2× 89 0.2× 159 0.4× 447 2.1× 105 1.6k
Oscar E. Lanford United States 17 760 0.7× 669 1.0× 299 0.6× 157 0.4× 144 0.7× 29 1.5k
Marwan Alquran Jordan 39 3.0k 2.6× 373 0.5× 486 1.0× 56 0.1× 255 1.2× 153 3.6k
V. K. Mel’nikov Russia 13 1.5k 1.3× 331 0.5× 372 0.7× 284 0.7× 33 0.2× 23 1.7k
Nicholas M. Ercolani United States 18 632 0.5× 288 0.4× 193 0.4× 131 0.3× 132 0.6× 51 1.0k

Countries citing papers authored by Todd Kapitula

Since Specialization
Citations

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

Fields of papers citing papers by Todd Kapitula

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Todd Kapitula

This figure shows the co-authorship network connecting the top 25 collaborators of Todd Kapitula. A scholar is included among the top collaborators of Todd Kapitula 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 Todd Kapitula. Todd Kapitula 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.
Demirkaya, Aslihan, Todd Kapitula, P. G. Kevrekidis, Milena Stanislavova, & Atanas Stefanov. (2014). On the Spectral Stability of Kinks in Some ‐Symmetric Variants of the Classical Klein–Gordon Field Theories. Studies in Applied Mathematics. 133(3). 298–317. 11 indexed citations
2.
Kapitula, Todd & Atanas Stefanov. (2013). A Hamiltonian–Krein (Instability) Index Theory for Solitary Waves to KdV‐Like Eigenvalue Problems. Studies in Applied Mathematics. 132(3). 183–211. 25 indexed citations
3.
Kapitula, Todd, et al.. (2013). Instability indices for matrix polynomials. Linear Algebra and its Applications. 439(11). 3412–3434. 4 indexed citations
4.
Kapitula, Todd & Keith Promislow. (2013). Spectral and Dynamical Stability of Nonlinear Waves. Applied mathematical sciences. 198 indexed citations
5.
Kapitula, Todd & Keith Promislow. (2011). Stability indices for constrained self-adjoint operators. Proceedings of the American Mathematical Society. 140(3). 865–880. 17 indexed citations
6.
Kapitula, Todd, P. G. Kevrekidis, & D. J. Frantzeskakis. (2008). Disk-shaped Bose–Einstein condensates in the presence of an harmonic trap and an optical lattice. Chaos An Interdisciplinary Journal of Nonlinear Science. 18(2). 23101–23101. 5 indexed citations
7.
Kapitula, Todd & P. G. Kevrekidis. (2005). Bose-Einstein condensates in the presence of a magnetic trap and optical lattice. Chaos An Interdisciplinary Journal of Nonlinear Science. 15(3). 37114–37114. 25 indexed citations
8.
Kapitula, Todd, J. Nathan Kutz, & Björn Sandstede. (2002). Stability of pulses in the master mode-locking equation. Journal of the Optical Society of America B. 19(4). 740–740. 54 indexed citations
9.
Kapitula, Todd, P. G. Kevrekidis, & Boris A. Malomed. (2001). Stability of multiple pulses in discrete systems. Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics. 63(3). 36604–36604. 54 indexed citations
10.
Kapitula, Todd, P. G. Kevrekidis, & Christopher K. R. T. Jones. (2001). Soliton internal mode bifurcations: Pure power law?. Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics. 63(3). 36602–36602. 11 indexed citations
11.
Kapitula, Todd. (2001). Stability of waves in perturbed Hamiltonian systems. Physica D Nonlinear Phenomena. 156(1-2). 186–200. 28 indexed citations
12.
Kapitula, Todd & Jonathan E. Rubin. (1999). Existence and stability of standing hole solutions to complex Ginzburg-Landau equations. Nonlinearity. 13(1). 77–112. 33 indexed citations
13.
Kapitula, Todd. (1996). Existence and stability of singular heteroclinic orbits for the Ginzburg - Landau equation. Nonlinearity. 9(3). 669–685. 22 indexed citations
14.
Kapitula, Todd. (1995). Singular heteroclinic orbits for degenerate modulation equations. Physica D Nonlinear Phenomena. 82(1-2). 36–59. 8 indexed citations
15.
Kapitula, Todd. (1994). On the Stability of Traveling Waves in Weighted L∞ Spaces. Journal of Differential Equations. 112(1). 179–215. 52 indexed citations
16.
Kapitula, Todd. (1994). On the nonlinear stability of plane waves for the ginzburg‐landau equation. Communications on Pure and Applied Mathematics. 47(6). 831–841. 20 indexed citations
17.
Kapitula, Todd, et al.. (1993). STABILITY OF TRAVELING WAVES FOR NONCONVEX SCALAR VISCOUS CONSERVATION-LAWS. Communications on Pure and Applied Mathematics. 46(4). 22 indexed citations
18.
Jones, Christopher K. R. T., Robert Gardner, & Todd Kapitula. (1993). Stability of travelling waves for non‐convex scalar viscous conservation laws. Communications on Pure and Applied Mathematics. 46(4). 505–526. 65 indexed citations
19.
Kapitula, Todd. (1991). Stability of travelling waves with applications to Ginzburg-Landau equations. 1 indexed citations
20.
Kapitula, Todd. (1991). . Indiana University Mathematics Journal. 40(4). 1193–1193. 17 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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