2026

1. Elif Küçükkaya, Burhan Tiryakioglu, Acoustic Radiation in Semi-Infinite Rigid Ducts: A Revisited Study, International Journal of Modern Physics B, accepted.

2025

1. Burhan Tiryakioglu, On the Acoustic Radiation from a Partially Lined and Perforated Semi-Infinite Duct, Computational Mathematics and Mathematical Physics, 65(12), 3014-3030, 2025.
2. Taylan Şengül, Burhan Tiryakioglu, The Effect of Nonlinearities With Arbitrary Order Derivatives on Dynamic Transitions, Mathematical Methods in the Applied Sciences, 48 (6), 6704-6716, 2025.
3. Burhan Tiryakioglu, Classification of First Transitions and Bifurcations in Nonlinear Reaction-Diffusion Systems: A Survey, Advances in Mathematical Sciences and Applications, 34 (1), 347-366, 2025.

2024

1. Taylan Şengül, Burhan Tiryakioglu and Esmanur Yıldız Akıl, First Transition Dynamics of Reaction-Diffusion Equations with Higher Order Nonlinearity, Studies in Applied Mathematics, 153 (3), e12735, 2024.
2. Rab Nawaz, Aqsa Yaseen, Hani Alahmadi and Burhan Tiryakioglu, A Mode-Matching Analysis of Flexible Shells and Waveguides with Partitioning and Muffler Conditions, International Journal of Mechanics and Materials in Design, 20 (5), 1009-1028, 2024.
3. Burhan Tiryakioglu, Analysis of Sound Transmission Loss in an Infinite Duct with Three Different Finite Lining, International Journal of Modern Physics B, 38 (28), 2450384, 2024.
4. Messoud Efendiev, Taylan Şengül and Burhan Tiryakioglu, Two approaches to instability analysis of the viscous Burgers’ equation, Discrete & Continuous Dynamical Systems – S, 17 (4), 1621-1638, 2024.
5. Burhan Tiryakioglu, Diffraction of Sound from Semi-Infinite Perforated and Semi-Infinite Coated Duct with Ring Source, Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 73 (3), 588-603, 2024.

2023

1. Taylan Şengül and Burhan Tiryakioglu, Interactions of (m,n) and (m+1,n) Modes with Real Eigenvalues: A Dynamic Transition Approach, Communications in Nonlinear Science and Numerical Simulation, 127, 107526, 2023.
2. Burhan Tiryakioglu and Hülya Öztürk, Mode-Matching Analysis for Sound Propagation in a Cylindrical Duct with a Partial Lining, Acoustical Physics, 69 (4), 436-441, 2023.
3. Burhan Tiryakioglu, Transmission Loss Analysis in an Infinite Tube with Multiple Discontinuities, Acoustical Physics, 69 (3), 303-308, 2023.
4. Ayşe Tiryakioglu and Burhan Tiryakioglu, Acoustic Wave Radiation from a Coaxial Pipe with Partial Lining and Inner Perforated Screen, International Journal of Aeroacoustics, 22(3-4), 278-292, 2023.
5. Taylan Şengül and Burhan Tiryakioglu, Dynamic transitions and bifurcations of 1D reaction-diffusion equations: The Non-self-adjoint case, Journal of Mathematical Analysis and Applications, 523 (1), 127114, 2023.

2022

1. Burhan Tiryakioglu, Diffraction of Sound Waves from Cavity with Inner Lining and Wall Thickness, Acta Physica Polonica A, 141 (6), 602-607, 2022.
2. Taylan Şengül and Burhan Tiryakioglu, Dynamic transitions and bifurcations of 1D reaction-diffusion equations: The Self-adjoint case, Mathematical Methods in the Applied Sciences, 45 (5), 2871-2892, 2022.
3. Burhan Tiryakioglu, Radiation of Sound by a Coaxial Waveguide with Semi Infinite Perforated Duct, Waves in Random and Complex Media, 32 (2), 529-540, 2022.
4. Burhan Tiryakioglu and Hülya Öztürk, Radiation of Sound Waves by Semi-Perforated Duct, Journal of Interdisciplinary Mathematics, 25 (8), 2289-2300, 2022.

2021

1. Burhan Tiryakioglu, Sound Radiation from Non-Uniformly Lined Duct with Partial Rigidity, Computational Mathematics and Mathematical Physics, 61 (12), 2118-2128, 2021.
2. Burhan Tiryakioglu and Ayşe Tiryakioglu, Radiation of Sound Waves from a Coaxial Duct with Perforated Screen, IMA Journal of Applied Mathematics, 86 (4), 828-844, 2021.
3. Burhan Tiryakioglu, The Effect of Semi Perforated Duct on Ring Sourced Acoustic Diffraction, Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 70 (2), 1073-1084, 2021.

2020

1. Burhan Tiryakioglu, Mode Matching Analysis of Sound Waves in an Infinite Pipe with Perforated Screen, Acoustical Physics, 66 (6), 580-586, 2020.
2. Hülya Öztürk and Burhan Tiryakioglu, Radiation of Sound from a Coaxial Duct formed by a Semi-Infinite Rigid Outer Cylinder and Infinite Inner Cylinder Having Different Linings, Archives of Acoustics, 45 (4), 655-662, 2020.
3. Burhan Tiryakioglu, Radiation of Acoustic Waves by a Partially Lined Pipe with an Interior Perforated Screen, Journal of Engineering Mathematics, 122 (1), 17-29, 2020.
4. Burhan Tiryakioglu, Diffraction of Sound Waves by a Lined Cylindrical Cavity, International Journal of Aeroacoustics, 19 (1-2), 38-56, 2020.
5. Burhan Tiryakioglu, Radiation of Sound Waves by a Semi Infinite Duct with Outer Lining and Perforated End, Archives of Acoustics, 45 (1), 77-84, 2020.
6. Burhan Tiryakioglu, Sound Wave Diffraction by a Cavity with Partial Lining, Mathematical Sciences and Applications E-Notes, 8 (1), 123-133, 2020.

2019

1. Burhan Tiryakioglu, Analysis of Ring Sourced Diffraction with Rigid and Impedance Boundary Condition, U.P.B. Sci. Bull., Series-A Applied Mathematics and Physics, 81 (4), 331-340, 2019.
2. Burhan Tiryakioglu, Sound Radiation from the Perforated End of a Lined Duct, Acta Acustica united with Acustica, 105 (4), 591-599, 2019.
3. Burhan Tiryakioglu and Ahmet Demir, Sound Wave Radiation from Partially Lined Duct, Archives of Acoustics, 44 (2), 239-249, 2019.
4. Burhan Tiryakioglu and Ahmet Demir, Radiation Analysis of Sound Waves from Semi-Infinite Coated Pipe, International Journal of Aeroacoustics, 18 (1), 92-111, 2019.
5. Burhan Tiryakioglu, A Note on Ring Source Over Semi-Infinite Rigid Pipe, International Journal of Advances in Engineering and Pure Sciences, 31 (2), 133-139, 2019.