Raj Kumar

847 total citations · 1 hit paper
38 papers, 673 citations indexed

About

Raj Kumar is a scholar working on Statistical and Nonlinear Physics, Modeling and Simulation and Geometry and Topology. According to data from OpenAlex, Raj Kumar has authored 38 papers receiving a total of 673 indexed citations (citations by other indexed papers that have themselves been cited), including 38 papers in Statistical and Nonlinear Physics, 16 papers in Modeling and Simulation and 9 papers in Geometry and Topology. Recurrent topics in Raj Kumar's work include Nonlinear Waves and Solitons (38 papers), Nonlinear Photonic Systems (30 papers) and Fractional Differential Equations Solutions (16 papers). Raj Kumar is often cited by papers focused on Nonlinear Waves and Solitons (38 papers), Nonlinear Photonic Systems (30 papers) and Fractional Differential Equations Solutions (16 papers). Raj Kumar collaborates with scholars based in India. Raj Kumar's co-authors include Mukesh Kumar, Sachin Kumar, Brij Mohan, Dig Vijay Tanwar, Setu Rani, Nikita Mann, Sachin Kumar, Atul Kumar Tiwari and Shiv Kumar Yadav and has published in prestigious journals such as SHILAP Revista de lepidopterología, Applied Mathematics and Computation and Computers & Mathematics with Applications.

In The Last Decade

Raj Kumar

36 papers receiving 645 citations

Hit Papers

align trajectories

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.

Lump, soliton, and interaction solutions to a generalized two-mode higher-order nonlinear evolution equation in plasma physics

2022 118 citations Sachin Kumar, Brij Mohan et al. Nonlinear Dynamics profile →

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Raj Kumar India	17	638	213	133	89	89	38	673
Brij Mohan India	14	645 1.0×	237 1.1×	72 0.5×	125 1.4×	109 1.2×	15	697
Setu Rani India	11	479 0.8×	217 1.0×	75 0.6×	48 0.5×	57 0.6×	15	543
Dharmendra Kumar India	13	620 1.0×	290 1.4×	159 1.2×	46 0.5×	103 1.2×	28	670
Filiz Taşcan Türkiye	15	683 1.1×	361 1.7×	112 0.8×	67 0.8×	125 1.4×	37	719
Solomon Manukure United States	12	611 1.0×	171 0.8×	159 1.2×	97 1.1×	96 1.1×	22	637
Shao-Hua Liu China	14	517 0.8×	181 0.8×	76 0.6×	61 0.7×	86 1.0×	27	543
Shou-Ting Chen China	10	829 1.3×	222 1.0×	246 1.8×	107 1.2×	172 1.9×	27	843
Monika Niwas India	18	673 1.1×	290 1.4×	99 0.7×	76 0.9×	129 1.4×	23	710
Xing Lü China	14	545 0.9×	134 0.6×	88 0.7×	71 0.8×	223 2.5×	30	602
Shubham Kumar Dhiman India	12	433 0.7×	170 0.8×	76 0.6×	56 0.6×	59 0.7×	16	460

Countries citing papers authored by Raj Kumar

Since Specialization

Citations

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

Fields of papers citing papers by Raj Kumar

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Raj Kumar

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

All Works

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20 of 20 papers shown

Kumar, Raj, et al.. (2025). Dynamic Behavior of Coupled mKdV–Calogero–Bogoyavlenskii–Schiff Equations in Fluid Dynamics. Differential Equations and Dynamical Systems. 1 indexed citations

Mohan, Brij, et al.. (2024). On investigation of kink-solitons and rogue waves to a new integrable (3+1)-dimensional KdV-type generalized equation in nonlinear sciences. Nonlinear Dynamics. 113(9). 10261–10276. 16 indexed citations

Rani, Setu, Sachin Kumar, & Raj Kumar. (2024). Dynamical Study of Newly Created Analytical Solutions, Bifurcation Analysis, and Chaotic Nature of the Complex Kraenkel–Manna–Merle System. Qualitative Theory of Dynamical Systems. 23(S1). 16 indexed citations

Mann, Nikita, Setu Rani, Sachin Kumar, & Raj Kumar. (2024). Novel closed-form analytical solutions and modulation instability spectrum induced by the Salerno equation describing nonlinear discrete electrical lattice via symbolic computation. Mathematics and Computers in Simulation. 219. 473–490. 32 indexed citations

Kumar, Raj, et al.. (2023). Novel Traveling Wave Solutions of Jaulent-Miodek Equations and Coupled Konno-Oono Systems and Their Dynamics. SHILAP Revista de lepidopterología. 5(4). 281–285. 4 indexed citations

Kumar, Mukesh, et al.. (2023). A study on analytical solutions and conservation laws of the cgKP occurring in straits. Physica Scripta. 98(12). 125238–125238. 2 indexed citations

Mohan, Brij, Sachin Kumar, & Raj Kumar. (2023). Higher-order rogue waves and dispersive solitons of a novel P-type (3+1)-D evolution equation in soliton theory and nonlinear waves. Nonlinear Dynamics. 111(21). 20275–20288. 55 indexed citations

Kumar, Sachin, Brij Mohan, & Raj Kumar. (2023). Newly formed center-controlled rouge wave and lump solutions of a generalized (3+1)-dimensional KdV-BBM equation via symbolic computation approach. Physica Scripta. 98(8). 85237–85237. 23 indexed citations

Kumar, Raj, et al.. (2022). More Solutions of Coupled Equal Width Wave Equations Arising in Plasma and Fluid Dynamics. International Journal of Applied and Computational Mathematics. 8(4). 2 indexed citations

10.

Kumar, Raj, et al.. (2022). Some invariant solutions of coupled Konno-Oono equations arising in electromagnetic and quantum fields. Physica Scripta. 97(7). 75501–75501. 11 indexed citations

11.

Kumar, Raj, et al.. (2022). Dynamical Behavior of the Solutions of Coupled Boussinesq–Burgers Equations Occurring at the Seaside Beaches. Brazilian Journal of Physics. 52(6). 12 indexed citations

12.

Kumar, Raj, et al.. (2022). Dynamics of some new solutions to the coupled DSW equations traveling horizontally on the seabed. Journal of Ocean Engineering and Science. 9(2). 154–163. 9 indexed citations

13.

Kumar, Raj, et al.. (2022). Dynamics of invariant solutions of mKdV-ZK arising in a homogeneous magnetised plasma. Nonlinear Dynamics. 108(4). 4081–4092. 17 indexed citations

14.

Kumar, Raj, et al.. (2021). Optimal Subalgebra of GKP by Using Killing Form, Conservation Law and Some More Solutions. International Journal of Applied and Computational Mathematics. 8(1). 6 indexed citations

15.

Rani, Setu, Sachin Kumar, & Raj Kumar. (2021). Invariance analysis for determining the closed-form solutions, optimal system, and various wave profiles for a (2+1)-dimensional weakly coupled B-Type Kadomtsev-Petviashvili equations. Journal of Ocean Engineering and Science. 8(2). 133–144. 23 indexed citations

16.

Kumar, Mukesh, Dig Vijay Tanwar, & Raj Kumar. (2017). On closed form solutions of (2+1)-breaking soliton system by similarity transformations method. Computers & Mathematics with Applications. 75(1). 218–234. 24 indexed citations

17.

Kumar, Mukesh, et al.. (2016). Similarity solutions of the Konopelchenko–Dubrovsky system using Lie group theory. Computers & Mathematics with Applications. 71(10). 2051–2059. 24 indexed citations

18.

Kumar, Mukesh, et al.. (2015). Some more similarity solutions of the(2+1)-dimensional BLP system. Computers & Mathematics with Applications. 70(3). 212–221. 21 indexed citations

19.

Kumar, Mukesh & Raj Kumar. (2015). Some More Solutions of Burgers' Equation. Journal of Physics Conference Series. 574. 12038–12038. 12 indexed citations

20.

Kumar, Mukesh, et al.. (2014). On similarity solutions of Zabolotskaya–Khokhlov equation. Computers & Mathematics with Applications. 68(4). 454–463. 44 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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