Applied Mathematics, Computational Mathematics, Modeling and Simulation, Mathematical Physics
421
Scholar Citations
13
Scholar h-index
17
Scholar i10-index
RECENT SCHOLAR PUBLICATIONS
Analysis of optical solitons for cubic-quintic nonlinear non-paraxial pulse propagation model SS Mahmood, MAS Murad, H Rezazadeh, U Demirbilek, S Salahshour Applied Physics A 132 (6), 500 , 2026 2026
A Unified Multiscale Observer Framework for Complex Dynamical Systems: Fractal Geometry, Scaling Laws, and Artificial Intelligence F Yazid, Y Altayeb, T Kim, U Demirbilek, S Boulaaras Fractals , 2026 2026
Fractal Scaling Laws and Asymptotic Behavior for Schwarz Domain Decomposition of Parabolic Hamilton-Jacobi-Bellman with AI-Driven Adaptivity S Chebbah, M Haiour, A Himadan, U Demirbilek Fractals , 2026 2026
Two Mode Version of Hirota-Ramani Equation and its Abundant Soliton Structures U Demirbilek, A Danladi, H Bulut, I Siddique, B Abdullaeva, ZM Yaseen Computational Methods for Differential Equations , 2026 2026
Exploring fourth-order nonlinear integrable equation: Solitons, interactions and modulation instability A Danladi, U Demirbilek, TA Sulaiman, T Radwan, H Bulut, KK Ahmed Journal of Engineering Research , 2026 2026
Chirped solitary waves of the Myrzakulov–Lakshmanan equation and modulation instability in optical nanomagnetism A Danladi, H Rezazadeh, U Demirbilek, S Salahshoure, KK Ahmed Optical and Quantum Electronics 58 (6), 225 , 2026 2026
Optical soliton analysis of an integrable wave packet envelope equation with conformable derivative SS Mahmood, MAS Murad, H Rezazadeh, U Demirbilek, S Salahshour Journal of Computational Electronics 25 (2), 93 , 2026 2026
Semi-Analytical Construction of Soliton Solutions for the Generalized Third-Order NLSE and the (2+ 1)-Dimensional BKK System S Malik, ZP Izgi, S Kumar, H Rezazadeh, U Demirbilek International Journal of Theoretical Physics 65 (4), 119 , 2026 2026
Optical propagation in Kudryashov’s model with arbitrary refractive index and nonlocal nonlinearities SS Mahmood, MAS Murad, H Rezazadeh, U Demirbilek, S Salahshour Physica B: Condensed Matter, 418439 , 2026 2026 Citations: 2
Nonlinear dynamics and bifurcation analysis of integrable models for long wave propagation in plasma physics and oceanography S Malik, A Akbulut, U Demirbilek, H Rezazadeh, S Salahshour Nonlinear Dynamics 114 (6), 442 , 2026 2026 Citations: 1
The Dynamical Landscape of the Negative-Order (3+1)-Dimensional Calogero-Bogoyavlenskii-Schiff Equation U Demirbilek, J Muhammad, A Akbulut, U Younas, T Radwan, K Kamal Journal of Mathematics 2026 (1) , 2026 2026 Citations: 3
[image]-Fractional [image]-dimensional generalized KP model: nonlinear dynamical behaviors, analytical wave structures, bifurcation, and sensitivity analysis U Demirbilek, A Danladi, A Akbulut, S Boulaaras, KK Ahmed Scientific Reports 16, 2378 , 2026 2026 Citations: 4
Investigation of New Analytical and Numerical Solutions of the Extended (2+1) Dimensional Boussinesq Equation Using Fractional Derivative Approaches İ Kızıl, U Demirbilek, E Çelik Journal of Computational Physics , 2026 2026 Citations: 5
Exploring optical solitons, modulation instability and chaotic behavior in the Schrödinger–Hirota equation U Demirbilek, A Danladi, H Bulut, AR Seadawy, KK Ahmed Rendiconti Lincei. Scienze Fisiche e Naturali 36 (4), 1093-1108 , 2025 2025 Citations: 8
Exploring lump solutions, bifurcation, sensitivity, and chaotic dynamics in the extended KP-Boussinesq equation U Demirbilek, SA Baloch, I Siddique, H Bulut, T Radwan Journal of Nonlinear Mathematical Physics 32 (1), 49 , 2025 2025 Citations: 8
Analysis of the dynamical properties for the cancer cells density inside a two dimensional growth spatial region H Yépez-Martínez, H Rezazadeh, U Demirbilek International Journal of Biomathematics, 2550048 , 2025 2025 Citations: 1
Propagation of lump and traveling wave solutions to the -dimensional Fokas equation arising in mathematical physics KU Tariq, H Rezazadeh, RN Tufail, U Demirbilek International Journal of Geometric Methods in Modern Physics 22 (07), 2550022 , 2025 2025 Citations: 3
Analytical study on the conformable KdV-CBS equation with sensitivity and bifurcation analysis U Demirbilek, FM Çelik, M Nadeem Modern Physics Letters A 40 (17n18), 2550012 , 2025 2025 Citations: 4
Exploration of soliton dynamics and chaos in the Landau-Ginzburg-Higgs equation through extended analytical approaches K Bukht Mehdi, AAA Mousa, SA Baloch, U Demirbilek, A Ghallab, ... Journal of Nonlinear Mathematical Physics 32 (1), 22 , 2025 2025 Citations: 20
Analytical study on the generalized q-deformed Sinh–Gordon (Eleuch) equation U Demirbilek Computational Mathematics and Mathematical Physics 65 (4), 825-839 , 2025 2025 Citations: 14
MOST CITED SCHOLAR PUBLICATIONS
An application of improved Bernoulli sub-equation function method to the nonlinear conformable time-fractional SRLW equation ALA Volkan, U Demirbilek, KR Mamedov Aims Mathematics 5 (4), 3751 , 2020 2020 Citations: 47
Generalized extended (2+ 1)-dimensional Kadomtsev-Petviashvili equation in fluid dynamics: analytical solutions, sensitivity and stability analysis U Demirbilek, M Nadeem, FM Çelik, H Bulut Nonlinear Dynamics 112 (15), 13393-13408 , 2024 2024 Citations: 27
Studying the impacts of M-fractional and beta derivatives on the nonlinear fractional model F Batool, MS Suleman, U Demirbilek, H Rezazadeh, KM Khedher, ... Optical and Quantum Electronics 56 (2), 164 , 2024 2024 Citations: 26
Analytical solutions of the combined Kairat-II-X equation: a dynamical perspective on bifurcation, chaos, energy, and sensitivity U Demirbilek, AH Tedjani, AR Seadawy AIMS Math 10 (6), 13664-13691 , 2025 2025 Citations: 25
Exact solutions of conformable time fractional Zoomeron equation via IBSEFM U Demirbilek, V Ala, KR Mamedov Applied Mathematics-A Journal of Chinese Universities 36 (4), 554-563 , 2021 2021 Citations: 23
Implementation of optical soliton behavior of the space–time conformable fractional Vakhnenko–Parkes equation and its modified model SM Mabrouk, H Rezazadeh, H Ahmad, AS Rashed, U Demirbilek, ... Optical and Quantum Electronics 56 (2), 222 , 2024 2024 Citations: 22
Application of IBSEF method to Chaffee–Infante equation in (1+ 1) and (2+ 1) dimensions U Demirbilek, KR Mamedov Computational Mathematics and Mathematical Physics 63 (8), 1444-1451 , 2023 2023 Citations: 22
Exploration of soliton dynamics and chaos in the Landau-Ginzburg-Higgs equation through extended analytical approaches K Bukht Mehdi, AAA Mousa, SA Baloch, U Demirbilek, A Ghallab, ... Journal of Nonlinear Mathematical Physics 32 (1), 22 , 2025 2025 Citations: 20
Exploring soliton solutions of stochastic Phi-4 equation through extended Sinh-Gordon expansion method. F Batool, H Rezazadeh, Z Ali, U Demirbilek Optical & Quantum Electronics 56 (5) , 2024 2024 Citations: 20
Novel soliton structures of truncated M-fractional (4+ 1)-dim Fokas wave model T Rasool, R Hussain, H Rezazadeh, A Ali, U Demirbilek Nonlinear Engineering 12 (1), 20220292 , 2023 2023 Citations: 16
Sensitivity and wave propagation analysis of the time-fractional (3+ 1)-dimensional shallow water waves model M Gençyiğit, U Demirbilek, EA Az-Zo’bi Zeitschrift für angewandte Mathematik und Physik 75 (3), 78 , 2024 2024 Citations: 15
Analytical study on the generalized q-deformed Sinh–Gordon (Eleuch) equation U Demirbilek Computational Mathematics and Mathematical Physics 65 (4), 825-839 , 2025 2025 Citations: 14
Travelling wave solutions of nonlinear conformable Bogoyavlenskii equations via two powerful analytical approaches H Tariq, H Ashraf, H Rezazadeh, U Demirbilek Applied Mathematics-A Journal of Chinese Universities 39 (3), 502-518 , 2024 2024 Citations: 14
Effects of Brownian motion on solitary wave structures for 1D stochastic Poisson–Nernst–Planck system in electrobiochemical T Nan, MZ Baber, N Ahmed, MS Iqbal, U Demirbilek, H Rezazadeh International Journal of Geometric Methods in Modern Physics 21 (13), 2450225 , 2024 2024 Citations: 13
New analytical wave structures of the (3+ 1)-dimensional extended modified Ito equation of seventh-order M Gençyiğit, U Demirbilek, L Akinyemi, H Rezazadeh Journal of Applied Mathematics and Computing 70 (3), 2079-2095 , 2024 2024 Citations: 12
On the exact solutions to conformable equal width wave equation by improved Bernoulli sub-equation function method V Ala, U Demirbilek, KR Mamedov Вестник Южно-Уральского государственного университета. Серия: Математика … , 2021 2021 Citations: 12
Dynamical Soliton Solutions of (2+ 1)‐Dimensional Paraxial Wave and (4+ 1)‐Dimensional Fokas Wave Equations With Truncated M‐Fractional Derivative Using an Efficient Technique H Bulut, U Demirbilek, E Çelik Journal of Mathematics 2025 (1), 6659392 , 2025 2025 Citations: 10
Exploring optical solitons, modulation instability and chaotic behavior in the Schrödinger–Hirota equation U Demirbilek, A Danladi, H Bulut, AR Seadawy, KK Ahmed Rendiconti Lincei. Scienze Fisiche e Naturali 36 (4), 1093-1108 , 2025 2025 Citations: 8
Exploring lump solutions, bifurcation, sensitivity, and chaotic dynamics in the extended KP-Boussinesq equation U Demirbilek, SA Baloch, I Siddique, H Bulut, T Radwan Journal of Nonlinear Mathematical Physics 32 (1), 49 , 2025 2025 Citations: 8
New soliton solutions for a nonlinear complex hyperbolic Schrödinger dynamical equation with a truncated M-fractional derivative U Demirbilek, H Bulut, E Çelik Demonstratio Mathematica 58 (1), 20250174 , 2025 2025 Citations: 7
