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Aslihan Demirkaya
Aslihan Demirkaya
Assistant Professor of Mathematics, University of Hartford
Verified email at hartford.edu - Homepage
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Cited by
Year
Kink-kink and kink-antikink interactions with long-range tails
IC Christov, RJ Decker, A Demirkaya, VA Gani, PG Kevrekidis, A Khare, ...
Physical review letters 122 (17), 171601, 2019
1142019
Long-range interactions of kinks
IC Christov, RJ Decker, A Demirkaya, VA Gani, PG Kevrekidis, ...
Physical Review D 99 (1), 016010, 2019
972019
Kink-antikink collisions and multi-bounce resonance windows in higher-order field theories
IC Christov, RJ Decker, A Demirkaya, VA Gani, PG Kevrekidis, A Saxena
Communications in Nonlinear Science and Numerical Simulation 97, 105748, 2021
592021
Kink dynamics in a parametric ϕ6 system: a model with controllably many internal modes
A Demirkaya, R Decker, PG Kevrekidis, IC Christov, A Saxena
Journal of High Energy Physics 2017 (12), 1-23, 2017
562017
Dark solitons under higher-order dispersion
TJ Alexander, GA Tsolias, A Demirkaya, RJ Decker, C Martijn de Sterke, ...
Optics Letters 47 (5), 1174-1177, 2022
252022
Effects of parity-time symmetry in nonlinear Klein-Gordon models and their stationary kinks
A Demirkaya, DJ Frantzeskakis, PG Kevrekidis, A Saxena, A Stefanov
Physical Review E—Statistical, Nonlinear, and Soft Matter Physics 88 (2 …, 2013
232013
On the Spectral Stability of Kinks in Some‐Symmetric Variants of the Classical Klein–Gordon Field Theories
A Demirkaya, T Kapitula, PG Kevrekidis, M Stanislavova, A Stefanov
Studies in Applied Mathematics 133 (3), 298-317, 2014
182014
Numerical results on existence and stability of standing and traveling waves for the fourth order beam equation
A Demirkaya, M Stanislavova
Discrete Contin. Dyn. Syst. B 24, 197, 2019
132019
The existence of a global attractorfor a Kuramoto-Sivashinsky type equation in 2D
A Demirkaya
Conference Publications 2009 (Special), 198-207, 2009
132009
Kink–antikink interaction forces and bound states in a biharmonic ϕ4 model
RJ Decker, A Demirkaya, NS Manton, PG Kevrekidis
Journal of Physics A: Mathematical and Theoretical 53 (37), 375702, 2020
122020
Kink–antikink interaction forces and bound states in a ϕ 4 model with quadratic and quartic dispersion
GA Tsolias, RJ Decker, A Demirkaya, TJ Alexander, PG Kevrekidis
Journal of Physics A: Mathematical and Theoretical 54 (22), 225701, 2021
102021
Kink dynamics in a nonlinear beam model
RJ Decker, A Demirkaya, PG Kevrekidis, D Iglesias, J Severino, Y Shavit
Communications in Nonlinear Science and Numerical Simulation 97, 105747, 2021
92021
On the spectral stability of periodic waves of the Klein-Gordon equation
A Demirkaya, S Hakkaev, M Stanislavova, A Stefanov
72015
Long time behavior for radially symmetric solutions of the Kuramoto-Sivashinsky equation
A Demirkaya, M Stanislavova
Dynamics of Partial Differential Equations 7 (2), 161-173, 2010
42010
Kink–antikink interaction forces and bound states in a nonlinear Schrödinger model with quadratic and quartic dispersion
GA Tsolias, RJ Decker, A Demirkaya, TJ Alexander, R Parker, ...
Communications in Nonlinear Science and Numerical Simulation 125, 107362, 2023
32023
Numerical existence and stability of solutions to the distributed spruce budworm model
H Al-Khalil, C Brennan, R Decker, A Demirkaya, J Nagode
Involve, a Journal of Mathematics 10 (5), 857-879, 2017
32017
On the spectral stability of periodic waves of the coupled Schrödinger equations
A Demirkaya, S Hakkaev
Physics Letters A 379 (45-46), 2908-2914, 2015
32015
Solitary Waves in a Parabolic Potential: Existence, Stability, and Collisional Dynamics
RM Ross, PG Kevrekidis, DK Campbell, R Decker, A Demirkaya
A Dynamical Perspective on the ɸ4 Model: Past, Present and Future, 213-234, 2019
22019
Numerical results on existence and stability of steady state solutions for the reaction-diffusion and Klein-Gordon equations
M Aron, P Bowers, N Byer, R Decker, A Demirkaya, JH Ryu
Involve 7 (6), 723-742, 2014
22014
Spectral stability analysis for standing waves of a perturbed Klein-Gordon equation
A Demirkaya, PG Kevrekidis, M Stanislavova, A Stefanov
arXiv preprint arXiv:1409.7095, 2014
12014
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