Thilagarajah Mathanaranjan

726 total citations · 2 hit papers
24 papers, 564 citations indexed

About

Thilagarajah Mathanaranjan is a scholar working on Statistical and Nonlinear Physics, Atomic and Molecular Physics, and Optics and Modeling and Simulation. According to data from OpenAlex, Thilagarajah Mathanaranjan has authored 24 papers receiving a total of 564 indexed citations (citations by other indexed papers that have themselves been cited), including 24 papers in Statistical and Nonlinear Physics, 9 papers in Atomic and Molecular Physics, and Optics and 8 papers in Modeling and Simulation. Recurrent topics in Thilagarajah Mathanaranjan's work include Nonlinear Waves and Solitons (22 papers), Nonlinear Photonic Systems (19 papers) and Fractional Differential Equations Solutions (8 papers). Thilagarajah Mathanaranjan is often cited by papers focused on Nonlinear Waves and Solitons (22 papers), Nonlinear Photonic Systems (19 papers) and Fractional Differential Equations Solutions (8 papers). Thilagarajah Mathanaranjan collaborates with scholars based in Sri Lanka, United States and Iran. Thilagarajah Mathanaranjan's co-authors include Lanre Akinyemi, Hadi Rezazadeh, Ratbay Myrzakulov, Dipankar Kumar, Ahmet Bekir, Mir Sajjad Hashemi, Mehmet Şenol, M.S. Mani Rajan, Sanjib Dey and Asiri Nanayakkara and has published in prestigious journals such as Physical Review A, Optik and Physica Scripta.

In The Last Decade

Thilagarajah Mathanaranjan

23 papers receiving 558 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.

Optical soliton, linear stability analysis and conservation laws via multipliers to the integrable Kuralay equation

2023 57 citations Thilagarajah Mathanaranjan Optik profile →
Integrable Akbota equation: conservation laws, optical soliton solutions and stability analysis

2024 41 citations Thilagarajah Mathanaranjan, Ratbay Myrzakulov Optical and Quantum Electronics profile →

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Thilagarajah Mathanaranjan Sri Lanka	14	558	222	191	61	35	24	564
Ifrah Iqbal Pakistan	14	520 0.9×	200 0.9×	188 1.0×	34 0.6×	27 0.8×	39	581
Shu-Liang Jia China	12	434 0.8×	125 0.6×	128 0.7×	68 1.1×	78 2.2×	16	452
Lingchao He China	14	589 1.1×	128 0.6×	174 0.9×	89 1.5×	124 3.5×	20	597
Yehui Huang China	11	440 0.8×	149 0.7×	88 0.5×	68 1.1×	103 2.9×	57	457
Mohammadreza Foroutan Iran	11	401 0.7×	122 0.5×	194 1.0×	27 0.4×	48 1.4×	20	434
Shuwei Xu China	14	644 1.2×	297 1.3×	100 0.5×	90 1.5×	121 3.5×	23	664
Sonia Akram Pakistan	13	481 0.9×	94 0.4×	193 1.0×	88 1.4×	31 0.9×	33	511
K. Sakkaravarthi India	14	390 0.7×	134 0.6×	75 0.4×	91 1.5×	67 1.9×	23	416
Gao-Qing Meng China	12	485 0.9×	190 0.9×	92 0.5×	89 1.5×	85 2.4×	27	502
Rehab M. El‐Shiekh Egypt	19	827 1.5×	312 1.4×	234 1.2×	106 1.7×	89 2.5×	47	844

Countries citing papers authored by Thilagarajah Mathanaranjan

Since Specialization

Citations

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

Fields of papers citing papers by Thilagarajah Mathanaranjan

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Thilagarajah Mathanaranjan

This figure shows the co-authorship network connecting the top 25 collaborators of Thilagarajah Mathanaranjan. A scholar is included among the top collaborators of Thilagarajah Mathanaranjan 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 Thilagarajah Mathanaranjan. Thilagarajah Mathanaranjan 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

Mathanaranjan, Thilagarajah. (2025). Lie Symmetries, Soliton Solutions, Conservation Laws, and Stability Analysis of the Combined Kairat‐II‐X Equation. Mathematical Methods in the Applied Sciences. 48(18). 16722–16729. 1 indexed citations

Mathanaranjan, Thilagarajah, et al.. (2024). Optical wave structures and stability analysis of integrable Zhanbota equation. Modern Physics Letters B. 39(22). 9 indexed citations

Mathanaranjan, Thilagarajah & Ratbay Myrzakulov. (2024). Integrable Akbota equation: conservation laws, optical soliton solutions and stability analysis. Optical and Quantum Electronics. 56(4). 41 indexed citations breakdown →

Mathanaranjan, Thilagarajah, et al.. (2024). Solitonic wave Structures and Stablility Analysis for the M-fractional Generalized Coupled Nonlinear SchröDinger-KdV Equations. International Journal of Applied and Computational Mathematics. 10(6). 9 indexed citations

Mathanaranjan, Thilagarajah, Mir Sajjad Hashemi, Hadi Rezazadeh, Lanre Akinyemi, & Ahmet Bekir. (2023). Chirped optical solitons and stability analysis of the nonlinear Schrödinger equation with nonlinear chromatic dispersion. Communications in Theoretical Physics. 75(8). 85005–85005. 58 indexed citations

Mathanaranjan, Thilagarajah. (2023). New Jacobi Elliptic Solutions and Other Solutions in Optical Metamaterials Having Higher-Order Dispersion and Its Stability Analysis. International Journal of Applied and Computational Mathematics. 9(5). 30 indexed citations

Mathanaranjan, Thilagarajah, et al.. (2023). CNOIDAL WAVES AND SOLITONS TO THREE-COUPLED NONLINEAR SCHRODINGER�S EQUATION WITH SPATIALLY-DEPENDENT COEFFICIENTS. Ukrainian Journal of Physical Optics. 25(5). S1003–1016. 8 indexed citations

Mathanaranjan, Thilagarajah. (2023). Optical soliton, linear stability analysis and conservation laws via multipliers to the integrable Kuralay equation. Optik. 290. 171266–171266. 57 indexed citations breakdown →

Mathanaranjan, Thilagarajah, Dipankar Kumar, Hadi Rezazadeh, & Lanre Akinyemi. (2022). Optical solitons in metamaterials with third and fourth order dispersions. Optical and Quantum Electronics. 54(5). 83 indexed citations

10.

Mathanaranjan, Thilagarajah, et al.. (2022). New solitary wave solutions and stability analysis for the generalized ( 3 + 1 ) -dimensional nonlinear wave equation in liquid with gas bubbles. Results in Physics. 43. 106083–106083. 32 indexed citations

11.

Mathanaranjan, Thilagarajah, et al.. (2022). NEW SOLITON SOLUTIONS IN NANO-FIBERS WITH SPACE-TIME FRACTIONAL DERIVATIVES. Fractals. 30(7). 20 indexed citations

12.

Mathanaranjan, Thilagarajah. (2022). New optical solitons and modulation instability analysis of generalized coupled nonlinear Schrödinger–KdV system. Optical and Quantum Electronics. 54(6). 23 indexed citations

13.

Mathanaranjan, Thilagarajah. (2021). An effective technique for the conformable space-time fractional cubic-quartic nonlinear Schrodinger equation with different laws of nonlinearity. Computational methods for differential equations. 9 indexed citations

14.

Mathanaranjan, Thilagarajah, et al.. (2021). Laplace Decomposition Method for Time-Fractional Fornberg-Whitham Type Equations. Journal of Applied Mathematics and Physics. 9(2). 260–271. 10 indexed citations

15.

Mathanaranjan, Thilagarajah. (2021). Exact and explicit traveling wave solutions to the generalized Gardner and BBMB equations with dual high-order nonlinear terms. Partial Differential Equations in Applied Mathematics. 4. 100120–100120. 13 indexed citations

16.

Mathanaranjan, Thilagarajah. (2021). Soliton Solutions of Deformed Nonlinear Schrödinger Equations Using Ansatz Method. International Journal of Applied and Computational Mathematics. 7(4). 19 indexed citations

17.

Mathanaranjan, Thilagarajah, et al.. (2019). Analytical solutions of the time-fractional non-linear Schrodinger equation with zero and non zero trapping potential through the Sumudu decomposition method. 12. 21–33. 14 indexed citations

18.

Dey, Sanjib, Andreas Fring, & Thilagarajah Mathanaranjan. (2014). Spontaneous PT-Symmetry Breaking for Systems of Noncommutative Euclidean Lie Algebraic Type. International Journal of Theoretical Physics. 54(11). 4027–4033. 7 indexed citations

19.

Nanayakkara, Asiri & Thilagarajah Mathanaranjan. (2013). Explicit energy expansion for general odd-degree polynomial potentials. Physica Scripta. 88(5). 55004–55004.

20.

Nanayakkara, Asiri & Thilagarajah Mathanaranjan. (2012). Equivalent Hermitian Hamiltonians for some non-Hermitian Hamiltonians. Physical Review A. 86(2). 4 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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