A. Parker

671 total citations
24 papers, 536 citations indexed

About

A. Parker is a scholar working on Statistical and Nonlinear Physics, Geometry and Topology and Mathematical Physics. According to data from OpenAlex, A. Parker has authored 24 papers receiving a total of 536 indexed citations (citations by other indexed papers that have themselves been cited), including 23 papers in Statistical and Nonlinear Physics, 12 papers in Geometry and Topology and 6 papers in Mathematical Physics. Recurrent topics in A. Parker's work include Nonlinear Waves and Solitons (22 papers), Nonlinear Photonic Systems (19 papers) and Algebraic structures and combinatorial models (11 papers). A. Parker is often cited by papers focused on Nonlinear Waves and Solitons (22 papers), Nonlinear Photonic Systems (19 papers) and Algebraic structures and combinatorial models (11 papers). A. Parker collaborates with scholars based in United Kingdom, United States and Japan. A. Parker's co-authors include John M. Dye, Yoshimasa Matsuno, David Swailes, Yu. A. Sergeev, Eugene Oks, F. Robicheaux and T. Uzer and has published in prestigious journals such as Journal of the Physical Society of Japan, Physica D Nonlinear Phenomena and Physica A Statistical Mechanics and its Applications.

In The Last Decade

A. Parker

24 papers receiving 510 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
A. Parker United Kingdom 15 491 207 96 78 52 24 536
Zhiwei Wu China 8 416 0.8× 104 0.5× 67 0.7× 56 0.7× 21 0.4× 21 456
Ünal Göktaş United States 7 449 0.9× 84 0.4× 162 1.7× 61 0.8× 118 2.3× 10 489
Hans Lundmark Sweden 9 460 0.9× 107 0.5× 49 0.5× 234 3.0× 63 1.2× 13 506
Mohammad Najafi Iran 14 490 1.0× 78 0.4× 273 2.8× 44 0.6× 41 0.8× 33 514
Raj Kumar India 17 638 1.3× 133 0.6× 213 2.2× 89 1.1× 50 1.0× 38 673
Ken‐ichi Maruno Japan 11 338 0.7× 61 0.3× 50 0.5× 74 0.9× 50 1.0× 17 351
Bo Xue China 15 710 1.4× 256 1.2× 91 0.9× 132 1.7× 69 1.3× 51 725
Solomon Manukure United States 12 611 1.2× 159 0.8× 171 1.8× 97 1.2× 60 1.2× 22 637
Ken-ichi Maruno Japan 12 421 0.9× 89 0.4× 84 0.9× 52 0.7× 28 0.5× 23 441
Jian‐bing Zhang China 9 434 0.9× 118 0.6× 127 1.3× 59 0.8× 49 0.9× 39 464

Countries citing papers authored by A. Parker

Since Specialization
Citations

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

Fields of papers citing papers by A. Parker

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of A. Parker

This figure shows the co-authorship network connecting the top 25 collaborators of A. Parker. A scholar is included among the top collaborators of A. Parker 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 A. Parker. A. Parker 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.
Parker, A.. (2008). Cusped solitons of the Camassa–Holm equation. II. Binary cuspon–soliton interactions. Chaos Solitons & Fractals. 41(3). 1531–1549. 5 indexed citations
2.
Parker, A.. (2007). Cusped solitons of the Camassa–Holm equation. I. Cuspon solitary wave and antipeakon limit. Chaos Solitons & Fractals. 34(3). 730–739. 7 indexed citations
3.
Parker, A. & Yoshimasa Matsuno. (2006). The Peakon Limits of Soliton Solutions of the Camassa-Holm Equation(General). Journal of the Physical Society of Japan. 75(12). 5 indexed citations
4.
Parker, A. & Yoshimasa Matsuno. (2006). The Peakon Limits of Soliton Solutions of the Camassa–Holm Equation. Journal of the Physical Society of Japan. 75(12). 124001–124001. 28 indexed citations
5.
Parker, A.. (2005). On the Camassa–Holm equation and a direct method of solution. III. N -soliton solutions. Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences. 461(2064). 3893–3911. 39 indexed citations
6.
Parker, A.. (2005). Solving the Camassa-Holm equation. 1 indexed citations
7.
Parker, A.. (2005). On the Camassa–Holm equation and a direct method of solution. II. Soliton solutions. Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences. 461(2063). 3611–3632. 36 indexed citations
8.
Parker, A.. (2004). On the Camassa-Holm equation and a direct method of solution I. Bilinear form and solitary waves. Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences. 460(2050). 2929–2957. 60 indexed citations
9.
Robicheaux, F., Eugene Oks, A. Parker, & T. Uzer. (2002). Multiphoton ionization of hydrogen in parallel microwave and static fields: quantal and classical simulations. Journal of Physics B Atomic Molecular and Optical Physics. 35(22). 4613–4618. 3 indexed citations
10.
Dye, John M. & A. Parker. (2002). A bidirectional Kaup–Kupershmidt equation and directionally dependent solitons. Journal of Mathematical Physics. 43(10). 4921–4949. 19 indexed citations
11.
Dye, John M. & A. Parker. (2001). On bidirectional fifth-order nonlinear evolution equations, Lax pairs, and directionally dependent solitary waves. Journal of Mathematical Physics. 42(6). 2567–2589. 43 indexed citations
12.
Parker, A.. (2000). On ‘regular’ and ‘anomalous’ solitons of fifth-order equations and an iteration method. Reports on Mathematical Physics. 46(1-2). 217–224. 1 indexed citations
13.
Dye, John M. & A. Parker. (2000). An inverse scattering scheme for the regularized long-wave equation. Journal of Mathematical Physics. 41(5). 2889–2904. 27 indexed citations
14.
Parker, A.. (2000). On soliton solutions of the Kaup–Kupershmidt equation. I. Direct bilinearisation and solitary wave. Physica D Nonlinear Phenomena. 137(1-2). 25–33. 59 indexed citations
15.
Parker, A.. (2000). On soliton solutions of the Kaup–Kupershmidt equation. II. ‘Anomalous’ N-soliton solutions. Physica D Nonlinear Phenomena. 137(1-2). 34–48. 49 indexed citations
16.
Swailes, David, Yu. A. Sergeev, & A. Parker. (1998). Chapman–Enskog closure approximation in the kinetic theory of dilute turbulent gas-particulate suspensions. Physica A Statistical Mechanics and its Applications. 254(3-4). 517–547. 28 indexed citations
17.
Parker, A.. (1995). On exact solutions of the regularized long-wave equation: A direct approach to partially integrable equations. I. Solitary wave and solitons. Journal of Mathematical Physics. 36(7). 3498–3505. 23 indexed citations
18.
Parker, A.. (1995). On exact solutions of the regularized long-wave equation: A direct approach to partially integrable equations. II. Periodic solutions. Journal of Mathematical Physics. 36(7). 3506–3519. 7 indexed citations
19.
Parker, A.. (1992). On the periodic solution of the Burgers equation: a unified approach. Proceedings of the Royal Society of London Series A Mathematical and Physical Sciences. 438(1902). 113–132. 20 indexed citations
20.
Parker, A.. (1992). Periodic solutions of the intermediate long-wave equation: a nonlinear superposition principle. Journal of Physics A Mathematical and General. 25(7). 2005–2032. 21 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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