Stability of topological edge states under strong nonlinear effects R Chaunsali, H Xu, J Yang, PG Kevrekidis, G Theocharis Physical Review B 103 (2), 024106, 2021 | 59 | 2021 |
Nonlinear low-to-high-frequency energy cascades in diatomic granular crystals E Kim, R Chaunsali, H Xu, J Jaworski, J Yang, PG Kevrekidis, AF Vakakis Physical Review E 92 (6), 062201, 2015 | 40 | 2015 |
Traveling waves and their tails in locally resonant granular systems H Xu, PG Kevrekidis, A Stefanov Journal of Physics A: Mathematical and Theoretical 48 (19), 195204, 2015 | 38 | 2015 |
Unifying perspective: solitary traveling waves as discrete breathers in Hamiltonian lattices and energy criteria for their stability J Cuevas-Maraver, PG Kevrekidis, A Vainchtein, H Xu Physical Review E 96 (3), 032214, 2017 | 24 | 2017 |
Traveling waves for the mass in mass model of granular chains PG Kevrekidis, AG Stefanov, H Xu Letters in Mathematical Physics 106 (8), 1067-1088, 2016 | 22 | 2016 |
Nonlinear PT-symmetric models bearing exact solutions H Xu, PG Kevrekidis, Q Zhou, DJ Frantzeskakis, V Achilleos, ... arXiv preprint arXiv:1310.7635, 2013 | 22 | 2013 |
An energy-based stability criterion for solitary travelling waves in Hamiltonian lattices H Xu, J Cuevas-Maraver, PG Kevrekidis, A Vainchtein Philosophical Transactions of the Royal Society A: Mathematical, Physical …, 2018 | 19 | 2018 |
Generalized dimers and their Stokes-variable dynamics H Xu, PG Kevrekidis, A Saxena Journal of Physics A: Mathematical and Theoretical 48 (5), 055101, 2015 | 11 | 2015 |
Stability of traveling waves in a driven Frenkel–Kontorova model A Vainchtein, J Cuevas-Maraver, PG Kevrekidis, H Xu Communications in Nonlinear Science and Numerical Simulation 85, 105236, 2020 | 7 | 2020 |
Unstable dynamics of solitary traveling waves in a lattice with long-range interactions H Duran, H Xu, PG Kevrekidis, A Vainchtein Wave Motion 108, 102836, 2022 | 5 | 2022 |
Existence, stability, and dynamics of harmonically trapped one-dimensional multi-component solitary waves: The near-linear limit H Xu, PG Kevrekidis, T Kapitula Journal of Mathematical Physics 58 (6), 2017 | 5 | 2017 |
Linear and nonlinear dynamics of isospectral granular chains R Chaunsali, H Xu, J Yang, PG Kevrekidis Journal of Physics A: Mathematical and Theoretical 50 (17), 175201, 2017 | 4 | 2017 |
Existence and stability of PT-symmetric states in nonlinear two-dimensional square lattices H Xu, PG Kevrekidis, DE Pelinovsky Physica D: Nonlinear Phenomena 326, 1-20, 2016 | 3 | 2016 |
-Symmetric Dimer in a Generalized Model of Coupled Nonlinear Oscillators J Cuevas–Maraver, A Khare, PG Kevrekidis, H Xu, A Saxena International Journal of Theoretical Physics 54 (11), 3960-3985, 2015 | 3 | 2015 |
Existence and stability of PT-symmetric vortices in nonlinear two-dimensional square lattices H Xu, PG Kevrekidis, DE Pelinovsky arXiv preprint arXiv:1511.01878, 2015 | 1 | 2015 |
A Unifying Perspective: Solitary Traveling Waves As Discrete Breathers And Energy Criteria For Their Stability J Cuevas-Maraver, PG Kevrekidis, A Vainchtein, H Xu arXiv preprint arXiv:1701.04882, 2017 | | 2017 |