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
56 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
39 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
37 2015 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 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
21 2017 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
15 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
8 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
5 2020 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), 061901, 2017
5 2017 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
4 2022 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 -Symmetric Dimer in a Generalized Model of Coupled Nonlinear OscillatorsJ Cuevas–Maraver, A Khare, PG Kevrekidis, H Xu, A Saxena
International Journal of Theoretical Physics 54 (11), 3960-3985, 2015
4 2015 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 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