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Panayotis G. Kevrekidis
P. G. Kevrekidis
Person information
- affiliation: University of Massachusetts, Amherst, USA
- award: Humboldt Prize
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2020 – today
- 2024
- [j62]Martina Chirilus-Bruckner
, Jesús Cuevas-Maraver
Stability of Breathers for a Periodic Klein-Gordon Equation. Entropy 26(9): 756 (2024) - [i6]Shaoxuan Chen, Panayotis G. Kevrekidis, Hong-Kun Zhang, Wei Zhu:
Data-Driven Discovery of Conservation Laws from Trajectories via Neural Deflation. CoRR abs/2410.05445 (2024) - 2023
- [j61]Jimmie Adriazola
Efficient manipulation of Bose-Einstein Condensates in a double-well potential. Commun. Nonlinear Sci. Numer. Simul. 122: 107219 (2023) - [j60]G. A. Tsolias, Robert J. Decker, Aslihan Demirkaya
Kink-antikink interaction forces and bound states in a nonlinear Schrödinger model with quadratic and quartic dispersion. Commun. Nonlinear Sci. Numer. Simul. 125: 107362 (2023) - [j59]Sheikh Saqlain, Wei Zhu, Efstathios G. Charalampidis, Panayotis G. Kevrekidis:
Discovering governing equations in discrete systems using PINNs. Commun. Nonlinear Sci. Numer. Simul. 126: 107498 (2023) - [i5]Matthew O. Williams, Yorgos M. Psarellis, D. Pozharskiy, C. Chong, F. Li, J. Yang, Panayotis G. Kevrekidis, Ioannis G. Kevrekidis:
Equation-Free Computations as DDDAS Protocols for Bifurcation Studies: A Granular Chain Example. CoRR abs/2305.02404 (2023) - 2022
- [j58]Ricardo Carretero-González
Kink-antikink stripe interactions in the two-dimensional sine-Gordon equation. Commun. Nonlinear Sci. Numer. Simul. 109: 106123 (2022) - [j57]Henry Duran, Jesús Cuevas-Maraver, Panayotis G. Kevrekidis
Moving discrete breathers in a β-FPU lattice revisited. Commun. Nonlinear Sci. Numer. Simul. 111: 106435 (2022) - [i4]Haoran Hu, Connor M. Kennedy, Panayotis G. Kevrekidis, Hongkun Zhang:
A Modified PINN Approach for Identifiable Compartmental Models in Epidemiology with Applications to COVID-19. CoRR abs/2208.01169 (2022) - [i3]Nicolas Boullé, I. Newell, Patrick E. Farrell, Panayotis G. Kevrekidis:
Two-Component 3D Atomic Bose-Einstein Condensates Support Complex Stable Patterns. CoRR abs/2208.05703 (2022) - 2021
- [j56]Emilie Dufresne, Heather A. Harrington, Jonathan D. Hauenstein
On some configurations of oppositely charged trapped vortices in the plane. Adv. Appl. Math. 124: 102099 (2021) - [j55]Panayotis G. Kevrekidis
Breather stripes and radial breathers of the two-dimensional sine-Gordon equation. Commun. Nonlinear Sci. Numer. Simul. 94: 105596 (2021) - [j54]P. Subramanian
Exploring critical points of energy landscapes: From low-dimensional examples to phase field crystal PDEs. Commun. Nonlinear Sci. Numer. Simul. 96: 105679 (2021) - [j53]Robert J. Decker, Aslihan Demirkaya, P. G. Kevrekidis
Kink dynamics in a nonlinear beam model. Commun. Nonlinear Sci. Numer. Simul. 97: 105747 (2021) - [j52]Ivan C. Christov
Kink-antikink collisions and multi-bounce resonance windows in higher-order field theories. Commun. Nonlinear Sci. Numer. Simul. 97: 105748 (2021) - 2020
- [j51]Georgios Fotopoulos
Extreme wave events for a nonlinear Schrödinger equation with linear damping and Gaussian driving. Commun. Nonlinear Sci. Numer. Simul. 82: 105058 (2020) - [j50]C.-M. Schmied, Thomas Gasenzer, Markus K. Oberthaler, Panayotis G. Kevrekidis:
Stability analysis of ground states in a one-dimensional trapped spin-1 Bose gas. Commun. Nonlinear Sci. Numer. Simul. 83: 105050 (2020) - [j49]Anna Vainchtein, Jesús Cuevas-Maraver
Stability of traveling waves in a driven Frenkel-Kontorova model. Commun. Nonlinear Sci. Numer. Simul. 85: 105236 (2020) - [j48]Efstathios G. Charalampidis
Bifurcation analysis of stationary solutions of two-dimensional coupled Gross-Pitaevskii equations using deflated continuation. Commun. Nonlinear Sci. Numer. Simul. 87: 105255 (2020) - [j47]Theodore Kolokolnikov, Chris Ticknor, Panayotis G. Kevrekidis:
Toroidal Vortex Filament Knots and Links: Existence, Stability and Dynamics. SIAM J. Appl. Dyn. Syst. 19(4): 2403-2427 (2020) - [i2]Nicolas Boullé, Efstathios G. Charalampidis, Patrick E. Farrell, Panayotis G. Kevrekidis:
Deflation-based Identification of Nonlinear Excitations of the 3D Gross-Pitaevskii equation. CoRR abs/2004.10446 (2020)
2010 – 2019
- 2019
- [j46]Cory B. Ward
A numerical bifurcation analysis of a dryland vegetation model. Commun. Nonlinear Sci. Numer. Simul. 68: 319-335 (2019) - [j45]L. A. Cisneros-Ake
Dynamics and stabilization of bright soliton stripes in the hyperbolic-dispersion nonlinear Schrödinger equation. Commun. Nonlinear Sci. Numer. Simul. 74: 268-281 (2019) - [i1]Efstathios G. Charalampidis, Nicolas Boullé, Patrick E. Farrell, P. G. Kevrekidis:
Bifurcation analysis of stationary solutions of two-dimensional coupled Gross-Pitaevskii equations using deflated continuation. CoRR abs/1912.00023 (2019) - 2018
- [j44]Efstathios G. Charalampidis
Computing stationary solutions of the two-dimensional Gross-Pitaevskii equation with deflated continuation. Commun. Nonlinear Sci. Numer. Simul. 54: 482-499 (2018) - [j43]Danial Saadatmand
Resonant interaction of ϕ4 kink with PT-symmetric perturbation with spatially periodic gain/loss coefficient. Commun. Nonlinear Sci. Numer. Simul. 56: 62-76 (2018) - 2016
- [j42]K. Li, P. G. Kevrekidis, Hadi Susanto
Intrinsic localized modes in coupled DNLS equations from the anti-continuum limit. Math. Comput. Simul. 127: 151-165 (2016) - [j41]J. C. Tzou, Panayotis G. Kevrekidis, Theodore Kolokolnikov, Ricardo Carretero-González:
Weakly Nonlinear Analysis of Vortex Formation in a Dissipative Variant of the Gross-Pitaevskii Equation. SIAM J. Appl. Dyn. Syst. 15(2): 904-922 (2016) - [j40]Jesús Cuevas-Maraver
A PT -Symmetric Dual-Core System with the Sine-Gordon Nonlinearity and Derivative Coupling. Symmetry 8(6): 39 (2016) - 2015
- [b1]Panayotis G. Kevrekidis, Dimitri J. Frantzeskakis, Ricardo Carretero-González:
The Defocusing Nonlinear Schrödinger Equation - From Dark Solitons to Vortices and Vortex Rings. SIAM 2015, ISBN 978-1-611-97393-8, pp. I-X, 1-429 - [j39]Danial Saadatmand
Kink scattering from a parity-time-symmetric defect in the ϕ4 model. Commun. Nonlinear Sci. Numer. Simul. 29(Issues): 267-282 (2015) - [j38]Roy H. Goodman, P. G. Kevrekidis, Ricardo Carretero-González:
Dynamics of Vortex Dipoles in Anisotropic Bose-Einstein Condensates. SIAM J. Appl. Dyn. Syst. 14(2): 699-729 (2015) - 2013
- [j37]Nikos I. Karachalios
Breathers for the Discrete Nonlinear Schrödinger Equation with Nonlinear Hopping. J. Nonlinear Sci. 23(2): 205-239 (2013) - [j36]Nikos I. Karachalios, Bernardo Sánchez-Rey
Erratum to: Breathers for the Discrete Nonlinear Schrödinger Equation with Nonlinear Hopping. J. Nonlinear Sci. 23(3): 525 (2013) - [j35]Panayotis G. Kevrekidis, Dmitry E. Pelinovsky, Dmitry Tyugin
Nonlinear Stationary States in PT-Symmetric Lattices. SIAM J. Appl. Dyn. Syst. 12(3): 1210-1236 (2013) - [j34]Todd Kapitula, Panayotis G. Kevrekidis, Dong Yan:
The Krein Matrix: General Theory and Concrete Applications in Atomic Bose-Einstein Condensates. SIAM J. Appl. Math. 73(4): 1368-1395 (2013) - [c1]Matthew O. Williams, F. Li, P. G. Kevrekidis, Chiara Daraio, Yannis G. Kevrekidis:
Equation-Free Computations as DDDAS Protocols in the Study of Engineered Granular Crystals. ICCS 2013: 2638-2642 - 2012
- [j33]Anna Vainchtein, Panayotis G. Kevrekidis:
Dynamics of Phase Transitions in a Piecewise Linear Diatomic Chain. J. Nonlinear Sci. 22(1): 107-134 (2012) - [j32]Atanas Stefanov
On the Existence of Solitary Traveling Waves for Generalized Hertzian Chains. J. Nonlinear Sci. 22(3): 327-349 (2012) - [j31]V. A. Achilleos, T. P. Horikis, G. Theocharis, Panayotis G. Kevrekidis, Dimitri J. Frantzeskakis:
Excited Bose-Einstein condensates: Quadrupole oscillations and dark solitons. Math. Comput. Simul. 82(6): 946-957 (2012) - [j30]Ronald M. Caplan
Existence, stability, and scattering of bright vortices in the cubic-quintic nonlinear Schrödinger equation. Math. Comput. Simul. 82(7): 1150-1171 (2012) - 2011
- [j29]Jesús Cuevas-Maraver
Multibreather and Vortex Breather stability in Klein-Gordon Lattices: Equivalence between Two Different Approaches. Int. J. Bifurc. Chaos 21(8): 2161-2177 (2011) - [j28]Hadi Susanto
Symmetry breaking, coupling management, and localized modes in dual-core discrete nonlinear-Schrödinger lattices. J. Comput. Appl. Math. 235(13): 3883-3888 (2011) - 2010
- [j27]Todd Kapitula, Kody J. H. Law, Panayotis G. Kevrekidis:
Interaction of Excited States in Two-Species Bose-Einstein Condensates: A Case Study. SIAM J. Appl. Dyn. Syst. 9(1): 34-61 (2010)
2000 – 2009
- 2009
- [j26]J. Adrián Espínola-Rocha, Panayotis G. Kevrekidis:
Thresholds for soliton creation in the Ablowitz-Ladik lattice. Math. Comput. Simul. 80(4): 693-706 (2009) - [j25]Georgia D. Karali, Panayotis G. Kevrekidis:
Bubble interactions for the Mullins-Sekerka problem: Some case examples. Math. Comput. Simul. 80(4): 707-720 (2009) - [j24]Q. E. Hoq, J. Gagnon, Panayotis G. Kevrekidis, Boris A. Malomed, Dimitri J. Frantzeskakis, Ricardo Carretero-González:
Extended nonlinear waves in multidimensional dynamical lattices. Math. Comput. Simul. 80(4): 721-731 (2009) - [j23]Andrea Trombettoni
Soliton dynamics in linearly coupled discrete nonlinear Schrödinger equations. Math. Comput. Simul. 80(4): 814-824 (2009) - [j22]Panayotis G. Kevrekidis, Dmitry E. Pelinovsky, Atanas Stefanov
Asymptotic Stability of Small Bound States in the Discrete Nonlinear Schrödinger Equation. SIAM J. Math. Anal. 41(5): 2010-2030 (2009) - 2008
- [j21]E. W. Kirr, P. G. Kevrekidis, Eli Shlizerman
Symmetry-Breaking Bifurcation in Nonlinear Schrödinger/Gross-Pitaevskii Equations. SIAM J. Math. Anal. 40(2): 566-604 (2008) - 2007
- [j20]Heather A. Harrington, Marc E. Maier, Lé Santha Naidoo, Nathaniel Whitaker, Panayotis G. Kevrekidis:
A hybrid model for tumor-induced angiogenesis in the cornea in the presence of inhibitors. Math. Comput. Model. 46(3-4): 513-524 (2007) - [j19]Panayotis G. Kevrekidis, Yannis Drossinos
Nonlinearity from linearity: The Ermakov-Pinney equation revisited. Math. Comput. Simul. 74(2-3): 196-202 (2007) - [j18]Andrei Ludu, P. G. Kevrekidis:
Nonlinear dispersion relations. Math. Comput. Simul. 74(2-3): 229-236 (2007) - [j17]P. G. Kevrekidis, Sergey V. Dmitriev, A. A. Sukhorukov:
On a class of spatial discretizations of equations of the nonlinear Schrödinger type. Math. Comput. Simul. 74(4-5): 343-351 (2007) - [j16]Ricardo Carretero-González, Panayotis G. Kevrekidis, Dimitri J. Frantzeskakis, Boris A. Malomed, S. Nandi, Alan R. Bishop:
Soliton trains and vortex streets as a form of Cerenkov radiation in trapped Bose-Einstein condensates. Math. Comput. Simul. 74(4-5): 361-369 (2007) - [j15]Panayotis G. Kevrekidis, Avinash Khare, Avadh Saxena, I. Bena, Alan R. Bishop:
Asymptotic calculation of discrete non-linear wave interactions. Math. Comput. Simul. 74(4-5): 405-413 (2007) - [j14]J. Feng, P. G. Kevrekidis:
Averaging for some periodic and random nonlinear Schrödinger models. Math. Comput. Simul. 74(4-5): 414-428 (2007) - [j13]Ju Li
Deciding the Nature of the Coarse Equation through Microscopic Simulations: The Baby-Bathwater Scheme. SIAM Rev. 49(3): 469-487 (2007) - 2006
- [j12]Todd Kapitula, Panayotis G. Kevrekidis, Zhigang Chen
Three Is a Crowd: Solitary Waves in Photorefractive Media with Three Potential Wells. SIAM J. Appl. Dyn. Syst. 5(4): 598-633 (2006) - 2005
- [j11]Joakim Möller, Olof Runborg, Panayotis G. Kevrekidis, Kurt Lust, Ioannis G. Kevrekidis:
Equation-Free, Effective Computation for Discrete Systems: a Time stepper Based Approach. Int. J. Bifurc. Chaos 15(3): 975-996 (2005) - [j10]Panayotis G. Kevrekidis, Nathaniel Whitaker, Deborah J. Good:
Towards a reduced model for angiogenesis: A hybrid approach. Math. Comput. Model. 41(8-9): 987-996 (2005) - [j9]Maria Agrotis, Panayotis G. Kevrekidis, Boris A. Malomed:
Transmission of nonlinear localized modes through waveguide bends. Math. Comput. Simul. 69(3-4): 223-234 (2005) - [j8]Panayotis G. Kevrekidis, Boris A. Malomed, Dimitri J. Frantzeskakis, Alan R. Bishop, Hector E. Nistazakis, Ricardo Carretero-González:
Domain walls of single-component Bose-Einstein condensates in external potentials. Math. Comput. Simul. 69(3-4): 334-345 (2005) - [j7]Boris A. Malomed, Hector E. Nistazakis, Panayotis G. Kevrekidis, Dimitri J. Frantzeskakis:
Domain-wall crosses and propellers in binary Bose-Einstein condensates. Math. Comput. Simul. 69(3-4): 400-412 (2005) - [j6]G. Theocharis, Dimitri J. Frantzeskakis, Panayotis G. Kevrekidis, Ricardo Carretero-González, Boris A. Malomed:
Dark soliton dynamics in spatially inhomogeneous media: Application to Bose-Einstein condensates. Math. Comput. Simul. 69(5-6): 537-552 (2005) - [j5]N. Tzirakis, P. G. Kevrekidis:
On the collapse arresting effects of discreteness. Math. Comput. Simul. 69(5-6): 553-566 (2005) - [j4]Mason A. Porter, Panayotis G. Kevrekidis:
Bose-Einstein Condensates in Superlattices. SIAM J. Appl. Dyn. Syst. 4(4): 783-807 (2005) - 2003
- [j3]P. G. Kevrekidis, Michael I. Weinstein:
Breathers on a background: periodic and quasiperiodic solutions of extended discrete nonlinear wave systems. Math. Comput. Simul. 62(1-2): 65-78 (2003) - [j2]P. G. Kevrekidis, Vladimir V. Konotop
Compactons in discrete nonlinear Klein-Gordon models. Math. Comput. Simul. 62(1-2): 79-89 (2003) - [j1]Ju Li
Deciding the Nature of the Coarse Equation through Microscopic Simulations: The Baby-Bathwater Scheme. Multiscale Model. Simul. 1(3): 391-407 (2003)
Coauthor Index
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