J. K. Shaw

1.3k total citations
59 papers, 870 citations indexed

About

J. K. Shaw is a scholar working on Mathematical Physics, Atomic and Molecular Physics, and Optics and Applied Mathematics. According to data from OpenAlex, J. K. Shaw has authored 59 papers receiving a total of 870 indexed citations (citations by other indexed papers that have themselves been cited), including 26 papers in Mathematical Physics, 18 papers in Atomic and Molecular Physics, and Optics and 16 papers in Applied Mathematics. Recurrent topics in J. K. Shaw's work include Spectral Theory in Mathematical Physics (18 papers), Advanced Fiber Laser Technologies (9 papers) and Optical Network Technologies (8 papers). J. K. Shaw is often cited by papers focused on Spectral Theory in Mathematical Physics (18 papers), Advanced Fiber Laser Technologies (9 papers) and Optical Network Technologies (8 papers). J. K. Shaw collaborates with scholars based in United States, Australia and Canada. J. K. Shaw's co-authors include Don Hinton, Martin Klaus, Richard O. Claus, A. P. Baronavski, H. D. Ladouceur, Arthur K. Jordan, Ashish M. Vengsarkar, W.M. Henry, James S. Sirkis and R. T. Jones and has published in prestigious journals such as Optics Letters, Mathematics of Computation and AIAA Journal.

In The Last Decade

J. K. Shaw

53 papers receiving 762 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
J. K. Shaw United States 17 539 298 279 215 206 59 870
Marco Marletta United Kingdom 17 527 1.0× 149 0.5× 371 1.3× 169 0.8× 221 1.1× 76 834
B. M. Brown United Kingdom 13 447 0.8× 150 0.5× 275 1.0× 84 0.4× 225 1.1× 68 631
Charles T. Fulton United States 12 730 1.4× 184 0.6× 464 1.7× 80 0.4× 400 1.9× 32 932
Bernd Fritzsche Germany 14 360 0.7× 153 0.5× 344 1.2× 86 0.4× 530 2.6× 112 791
Bernd Kirstein Germany 13 342 0.6× 141 0.5× 331 1.2× 81 0.4× 514 2.5× 97 733
Franz Rellich Germany 3 184 0.3× 78 0.3× 187 0.7× 70 0.3× 172 0.8× 3 453
Jianwen Zhang China 19 607 1.1× 176 0.6× 71 0.3× 72 0.3× 754 3.7× 93 1.1k
Teruo Ikebe Japan 11 542 1.0× 137 0.5× 250 0.9× 128 0.6× 131 0.6× 21 652
Gregory Eskin United States 18 639 1.2× 37 0.1× 410 1.5× 62 0.3× 313 1.5× 54 852
Bert‐Wolfgang Schulze Germany 15 840 1.6× 64 0.2× 407 1.5× 60 0.3× 812 3.9× 83 1.2k

Countries citing papers authored by J. K. Shaw

Since Specialization
Citations

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

Fields of papers citing papers by J. K. Shaw

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by J. K. Shaw. 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 J. K. Shaw. The network helps show where J. K. Shaw may publish in the future.

Co-authorship network of co-authors of J. K. Shaw

This figure shows the co-authorship network connecting the top 25 collaborators of J. K. Shaw. A scholar is included among the top collaborators of J. K. Shaw 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 J. K. Shaw. J. K. Shaw 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.
Klaus, Martin & J. K. Shaw. (2003). On the Eigenvalues of Zakharov--Shabat Systems. SIAM Journal on Mathematical Analysis. 34(4). 759–773. 53 indexed citations
2.
Shaw, J. K., et al.. (2002). Optimal dispersion precompensation by pulse chirping. Applied Optics. 41(6). 1057–1057. 6 indexed citations
3.
Klaus, Martin & J. K. Shaw. (2002). Purely imaginary eigenvalues of Zakharov-Shabat systems. Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics. 65(3). 36607–36607. 42 indexed citations
4.
Brandt-Pearce, Maïté, et al.. (1999). Optimal input Gaussian pulse width for transmission in dispersive nonlinear fibers. Journal of the Optical Society of America A. 1 indexed citations
5.
Brandt-Pearce, Maïté, et al.. (1999). Optimal input Gaussian pulse width for transmission in dispersive nonlinear fibers. Journal of the Optical Society of America B. 16(8). 1189–1189. 9 indexed citations
6.
Baronavski, A. P., H. D. Ladouceur, & J. K. Shaw. (1993). Dependence of sum frequency field intensity on group velocity mismatches. IEEE Journal of Quantum Electronics. 29(12). 2928–2933. 3 indexed citations
7.
Shaw, J. K., Ashish M. Vengsarkar, & Richard O. Claus. (1991). Theoretical analysis of two-mode, elliptical-core optical fiber sensors. Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE. 1367. 337–337. 1 indexed citations
8.
Hinton, Don & J. K. Shaw. (1990). Differential Operators with Spectral Parameter Incompletely in the Boundary Conditions. Kobe University Repository Kernel (Kobe University). 12 indexed citations
9.
Hinton, Don, Martin Klaus, & J. K. Shaw. (1989). Series representation and asymptotics for Titchmarsh-Weyl $m$-functions. Differential and Integral Equations. 2(4). 14 indexed citations
10.
Hinton, Don & J. K. Shaw. (1987). Absolutely continuous spectra of perturbed periodic Hamiltonian systems. Rocky Mountain Journal of Mathematics. 17(4). 5 indexed citations
11.
Hinton, Don, et al.. (1986). On the number of eigenvalues in the spectral gap of a Dirac system. Proceedings of the Edinburgh Mathematical Society. 29(3). 367–378. 11 indexed citations
12.
Hinton, Don & J. K. Shaw. (1985). On the Absolutely Continuous Spectrum of the Perturbed Hill's Equation. Proceedings of the London Mathematical Society. s3-50(1). 175–192. 10 indexed citations
13.
Hinton, Don & J. K. Shaw. (1983). Hamiltonian systems of limit point or limit circle type with both endpoints singular. Journal of Differential Equations. 50(3). 444–464. 65 indexed citations
14.
Shaw, J. K., et al.. (1983). On the oscillation of differential transforms of eigenfunction expansions. Transactions of the American Mathematical Society. 280(1). 187–206. 3 indexed citations
15.
Hinton, Don & J. K. Shaw. (1982). ON THE SPECTRUM OF A SINGULAR HAMILTONIAN SYSTEM. Quaestiones Mathematicae. 5(1). 29–81. 46 indexed citations
16.
Shaw, J. K., et al.. (1982). Zeros of successive derivatives of functions analytic in a neighborhood of a single pole.. The Michigan Mathematical Journal. 29(1). 6 indexed citations
17.
Hinton, Don & J. K. Shaw. (1981). On Titchmarsh-Weyl M(λ)-functions for linear Hamiltonian systems. Journal of Differential Equations. 40(3). 316–342. 98 indexed citations
18.
Shaw, J. K., et al.. (1980). Zeros of successive derivatives and iterated operators on analytic functions. Proceedings of the American Mathematical Society. 79(2). 225–232. 2 indexed citations
19.
Shaw, J. K., et al.. (1978). Positivity properties of linear differential operators. Journal of Mathematical Analysis and Applications. 65(1). 184–200. 3 indexed citations
20.
Shaw, J. K., et al.. (1974). Abel-Gončarov polynomial expansions. Journal of Approximation Theory. 10(1). 6–22. 8 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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