Leaderboards/Advanced Differential Equations and Dynamical Systems

Advanced Differential Equations and Dynamical Systems

Last updated July 7, 2026

Rising Stars

New and hot

Rising Stars Researchers

1
Sayyedeh Narges Hajiseyedazizi
Bu-Ali Sina University
2
Victoriano Carmona
Universidad de Sevilla
3
Adnan Ahmad Mahmud
Harran University
4
Shuangbao Li
Civil Aviation University of China
5
Waqas Ali Faridi
University of Management and Technology
6
Lakhlifa Sadek
Chouaib Doukkali University
7
Marina Esteban
Universidad Pablo de Olavide
8
Jiale Zhang
Taiyuan Normal University
9
Anuj Jakhar
Indian Institute of Technology Madras
10
Enes Ata
Bingöl University

Rising Stars Papers

1
The Lie point symmetry criteria and formation of exact analytical solutions for Kairat-II equation: Paul-Painlevé approach
Chaos Solitons & Fractals|2024
60 cit.
2
The fractional soliton solutions of dynamical system arising in plasma physics: The comparative analysis
Alexandria Engineering Journal|2024
47 cit.
3
The formation of invariant optical soliton structures to electric-signal in the telegraph lines on basis of the tunnel diode and chaos visualization, conserved quantities: Lie point symmetry approach
Optik|2024
42 cit.
4
Introducing novel <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si3.svg" display="inline" id="d1e26"><mml:mi>Θ</mml:mi></mml:math>-fractional operators: Advances in fractional calculus
Journal of King Saud University - Science|2024
31 cit.
5
The construction of exact solution and explicit propagating optical soliton waves of Kuralay equation by the new extended direct algebraic and Nucci’s reduction techniques
International Journal of Modelling and Simulation|2024
25 cit.
6
Analyzing optical soliton solutions in Kairat-X equation via new auxiliary equation method
Optical and Quantum Electronics|2024
25 cit.
7
Controllability, observability, and stability of φ‐conformable fractional linear dynamical systems
Asian Journal of Control|2024
24 cit.
8
Exploring the optical soliton solutions of Heisenberg ferromagnet-type of Akbota equation arising in surface geometry by explicit approach
Optical and Quantum Electronics|2024
24 cit.
9
The general Caputo–Katugampola fractional derivative and numerical approach for solving the fractional differential equations
Alexandria Engineering Journal|2025
23 cit.
10
The generalized soliton wave structures and propagation visualization for Akbota equation
Zeitschrift für Naturforschung A|2024
21 cit.

Emerging Leaders

Gaining momentum

Emerging Leaders Researchers

1
İlknur Koca
Muğla University
2
Rachael Dougherty
University of South Florida
3
Lanre Akinyemi
Prairie View A&M University
4
Aliyu Isa Aliyu
Near East University
5
Nehad Ali Shah
Sejong University
6
Setu Rani
Shriram Institute for Industrial Research
7
Hijaz Ahmad
Korea University
8
Rahim Asghari
Technical and Vocational University
9
Tukur Abdulkadir Sulaıman
Fırat University
10
Wen‐Hui Zhu
Nanchang Institute of Science & Technology

Emerging Leaders Papers

1
Effects of the higher-order dispersion on solitary waves and modulation instability in a monomode fiber
Optik|2023
129 cit.
2
Numerical simulation of a thermally enhanced EMHD flow of a heterogeneous micropolar mixture comprising (60%)-ethylene glycol (EG), (40%)-water (W), and copper oxide nanomaterials (CuO)
Case Studies in Thermal Engineering|2022
110 cit.
3
Analytical and numerical investigation of Darcy-Forchheimer flow of a nonlinear-radiative non-Newtonian fluid over a Riga plate with entropy optimization
Ain Shams Engineering Journal|2022
108 cit.
4
A variety of new rogue wave patterns for three coupled nonlinear Maccari’s models in complex form
Nonlinear Dynamics|2023
108 cit.
5
Heat transfers thermodynamic activity of a second-grade ternary nanofluid flow over a vertical plate with Atangana-Baleanu time-fractional integral
Alexandria Engineering Journal|2022
106 cit.
6
Optical solitons in metamaterials with third and fourth order dispersions
Optical and Quantum Electronics|2022
103 cit.
7
Morphological nanolayer impact on hybrid nanofluids flow due to dispersion of polymer/CNT matrix nanocomposite material
AIMS Mathematics|2022
100 cit.
8
Linear and quadratic convection on 3D flow with transpiration and hybrid nanoparticles
International Communications in Heat and Mass Transfer|2022
96 cit.
9
A Comparative Analysis of Fractional-Order Kaup–Kupershmidt Equation within Different Operators
Symmetry|2022
80 cit.
10
Magnetic-hybrid nanoparticles with stretching/shrinking cylinder in a suspension of MoS4 and copper nanoparticles
International Communications in Heat and Mass Transfer|2022
80 cit.

Current Senior Leaders

Established & currently active

Current Senior Leaders Researchers

1
Jaume Llibre
Universitat Autònoma de Barcelona
2
A. Stephen Morse
Yale University
3
Dennis S. Bernstein
University of Michigan
4
Maoan Han
Zhejiang Normal University
5
Clàudìa Valls
University of Lisbon
6
G. F. Carnevale
La Jolla Institute for Immunology
7
Marco Antônio Teixeira
Universidade Estadual de Campinas (UNICAMP)
8
James A. Yorke
University of Maryland, College Park
9
Paul H. Rabinowitz
University of Pisa
10
Yuri A. Kuznetsov
University of Twente

Current Senior Leaders Papers

1
Coordination of groups of mobile autonomous agents using nearest neighbor rules
IEEE Transactions on Automatic Control|2003
8.4k cit.
2
Controlling chaos
Physical Review Letters|1990
5.4k cit.
3
Finite-Time Stability of Continuous Autonomous Systems
SIAM Journal on Control and Optimization|2000
5.3k cit.
4
Dual variational methods in critical point theory and applications
Journal of Functional Analysis|1973
4.4k cit.
5
Basic problems in stability and design of switched systems
IEEE Control Systems|1999
3.6k cit.
6
Stability of switched systems with average dwell-time
Unknown Journal|2003
2.5k cit.
7
The Painlevé property for partial differential equations
Journal of Mathematical Physics|1983
2.1k cit.
8
Bifurcation from simple eigenvalues
Journal of Functional Analysis|1971
2.1k cit.
9
Systematic design of adaptive controllers for feedback linearizable systems
IEEE Transactions on Automatic Control|1991
2k cit.
10
Some global results for nonlinear eigenvalue problems
Journal of Functional Analysis|1971
1.9k cit.

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