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 | 104 | 2019 |

Long-range interactions of kinks IC Christov, RJ Decker, A Demirkaya, VA Gani, PG Kevrekidis, ... Physical Review D 99 (1), 016010, 2019 | 89 | 2019 |

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 | 56 | 2021 |

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 | 53 | 2017 |

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 | 23 | 2013 |

Dark solitons under higher-order dispersion TJ Alexander, GA Tsolias, A Demirkaya, RJ Decker, CM de Sterke, ... Optics Letters 47 (5), 1174-1177, 2022 | 20 | 2022 |

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 | 18 | 2014 |

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 | 13 | 2019 |

The existence of a global attractorfor a Kuramoto-Sivashinsky type equation in 2D A Demirkaya Conference Publications 2009 (Special), 198-207, 2009 | 12 | 2009 |

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 | 11 | 2020 |

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 | 9 | 2021 |

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 | 8 | 2021 |

On the spectral stability of periodic waves of the Klein-Gordon equation A Demirkaya, S Hakkaev, M Stanislavova, A Stefanov | 7 | 2015 |

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 | 4 | 2010 |

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 | 3 | 2015 |

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 | 2 | 2019 |

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 | 2 | 2017 |

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 | 2 | 2014 |

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 | 1 | 2023 |

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 | 1 | 2014 |