Edit Profile (opens in new tab) Kevrekidis, Panayotis G. Co-Author Distance Author ID: kevrekidis.panayotis-g Published as: Kevrekidis, P. G.; Kevrekidis, Panayotis G.; Kevrekidis, Panayotis; Kevrekidis, Panagiotis G.; Kevrekidis, P. more...less Further Spellings: Кеврекидис П Г Homepage: https://people.math.umass.edu/~kevrekid/ External Links: MGP · ORCID · Wikidata · Google Scholar · Math-Net.Ru · dblp · GND · IdRef Awards: J.D. Crawford Prize (2013) Documents Indexed: 313 Publications since 2000, including 2 Books and 24 Additional arXiv Preprints 6 Contributions as Editor Co-Authors: 249 Co-Authors with 302 Joint Publications 5,675 Co-Co-Authors all top 5 Co-Authors 15 single-authored 76 Frantzeskakis, Dimitri J. 43 Malomed, Boris A. 42 Cuevas Maraver, Jesús 29 Carretero-González, Ricardo 22 Pelinovsky, Dmitry Efimovich 18 Kevrekidis, Ioannis George 17 Bishop, Alan Reginald 16 Whitaker, Nathaniel 15 Kapitula, Todd M. 15 Porter, Mason Alexander 14 Saxena, Avadh Behari 13 Stefanov, Atanas G. 12 Charalampidis, Efstathios G. 12 Karachalios, Nikos I. 11 Nistazakis, Hector E. 10 Xu, Haitao 9 Demirkaya, Aslihan 9 Dmitriev, Sergey V. 9 Koukouloyannis, Vassilis 8 Chong, Christopher 8 Horikis, Theodoros P. 8 Rapti, Zoi 8 Vainchtein, Anna 7 Achilleos, V. A. 7 Decker, Robert J. 7 Konotop, Vladimir V. 7 Law, Kody J. H. 7 Parker, Ross 7 Schmelcher, Peter 6 Aceves, Alejandro B. 6 Shen, Yannan 6 Susanto, Hadi 6 Theocharis, G. 6 Yang, Jinkyu 5 Drossinos, Yannis 5 James, Guillaume 5 Kolokolnikov, Theodore 5 Li, Kai 5 Martínez, Alejandro J. 5 Wang, Chenyu 5 Weinstein, Michael I. 5 Williams, Floyd L. 4 Chen, Qianyong 4 D’Ambroise, Jennie 4 Farrell, Patrick Emmet 4 Herring, G. J. 4 Horne, Rudy Lee 4 Khare, Avinash 4 Ross, Ryan M. 4 Takeno, Shozo 4 Ward, Charles B. 4 Yoshikawa, Nobuhiro 3 Abdullaev, Fatkhulla Kh. 3 Alexander, Tristram J. 3 Boullé, Nicolas 3 Chen, Zhigang 3 Christodoulakis, Theodosios 3 Daraio, Chiara 3 Gear, Charles William 3 Hoq, Q. Enam 3 Kevrekidis, G. A. 3 Lepri, Stefano 3 Middelkamp, S. 3 Mylonas, I. K. 3 Rasmussen, Kim Ø. 3 Saadatmand, Danial 3 Sánchez-Rey, Bernardo 3 Sandstede, Björn 3 Tsolias, Georgios A. 2 Agrotis, Maria A. 2 Álvarez, Azucena 2 Barry, Anna M. 2 Borisov, Denis Ivanovich 2 Byrne, Helen Mary 2 Celora, Giulia L. 2 Centurion, Martin 2 Christov, Ivan C. 2 Diamantidis, Sevastos 2 Duran, Henry 2 Espínola-Rocha, J. Adrián 2 Fotopoulos, Georgios 2 Gani, Vakhid A. 2 Good, D. J. 2 Goodman, Roy H. 2 Guo, Lijuan 2 He, Jingsong 2 Helias, Ch. 2 Jones, Christopher K. R. T. 2 Karali, Georgia D. 2 Kim, Eunho 2 Kip, D. 2 Kirr, E. W. 2 Lafortune, Stéphane 2 Li, Ju 2 Liu, Lifeng 2 Molina, Mario I. 2 Paleari, Simone 2 Palmero Acebedo, Faustino 2 Papacharalampous, I. E. 2 Penati, Tiziano ...and 149 more Co-Authors all top 5 Serials 44 Physica D 40 Journal of Physics A: Mathematical and Theoretical 34 Physics Letters. A 21 Mathematics and Computers in Simulation 16 Nonlinearity 16 Communications in Nonlinear Science and Numerical Simulation 9 Journal of Physics A: Mathematical and General 7 Chaos 7 SIAM Journal on Applied Dynamical Systems 5 Journal of Mathematical Physics 4 Studies in Applied Mathematics 4 Journal of Nonlinear Science 4 Discrete and Continuous Dynamical Systems 4 Physica Scripta 3 Chaos, Solitons and Fractals 3 Physical Review E. Third Series 3 Nonlinear Systems and Complexity 2 Mathematical Biosciences 2 Quarterly of Applied Mathematics 2 SIAM Journal on Mathematical Analysis 2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 Discrete and Continuous Dynamical Systems. Series S 2 Journal of Theoretical Biology 2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 2 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 2 Mathematics in Engineering 1 Modern Physics Letters B 1 Classical and Quantum Gravity 1 Communications in Mathematical Physics 1 IMA Journal of Applied Mathematics 1 International Journal of Theoretical Physics 1 Journal of Mathematical Analysis and Applications 1 Letters in Mathematical Physics 1 Theoretical and Mathematical Physics 1 Wave Motion 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Bulletin of Mathematical Biology 1 Journal of Computational and Applied Mathematics 1 Journal of Differential Equations 1 Advances in Applied Mathematics 1 Mathematical and Computer Modelling 1 SIAM Journal on Applied Mathematics 1 SIAM Review 1 Mathematical Problems in Engineering 1 New Journal of Physics 1 Journal of High Energy Physics 1 Communications on Pure and Applied Analysis 1 AMRX. Applied Mathematics Research eXpress 1 Multiscale Modeling & Simulation 1 Communications in Mathematical Sciences 1 Springer Tracts in Modern Physics 1 Advances in Mathematical Physics 1 Symmetry 1 Springer Series on Atomic, Optical, and Plasma Physics 1 Other Titles in Applied Mathematics all top 5 Fields 207 Partial differential equations (35-XX) 106 Dynamical systems and ergodic theory (37-XX) 82 Statistical mechanics, structure of matter (82-XX) 69 Quantum theory (81-XX) 32 Optics, electromagnetic theory (78-XX) 31 Ordinary differential equations (34-XX) 31 Difference and functional equations (39-XX) 25 Numerical analysis (65-XX) 14 Fluid mechanics (76-XX) 10 Mechanics of deformable solids (74-XX) 9 Biology and other natural sciences (92-XX) 7 Mechanics of particles and systems (70-XX) 6 General and overarching topics; collections (00-XX) 5 Computer science (68-XX) 5 Relativity and gravitational theory (83-XX) 5 Systems theory; control (93-XX) 3 Operator theory (47-XX) 1 Functions of a complex variable (30-XX) 1 Approximations and expansions (41-XX) 1 Integral equations (45-XX) 1 Probability theory and stochastic processes (60-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 239 Publications have been cited 2,073 times in 1,272 Documents Cited by ▼ Year ▼ Equation-free, coarse-grained multiscale computation: enabling microscopic simulators to perform system-level analysis. Zbl 1086.65066 Kevrekidis, Ioannis G.; Gear, C. William; Hyman, James M.; Kevrekidis, Panagiotis G.; Runborg, Olof; Theodoropoulos, Constantinos 194 2003 Emergent nonlinear phenomena in Bose-Einstein condensates. Theory and experiment. Zbl 1137.82003 99 2008 Counting eigenvalues via the Krein signature in infinite-dimensional Hamiltonian systems. Zbl 1056.37080 Kapitula, Todd; Kevrekidis, Panayotis G.; Sandstede, Björn 80 2004 The discrete nonlinear Schrödinger equation. Mathematical analysis, numerical computations and physical perspectives. Zbl 1169.35004 Kevrekidis, Panayotis G. 79 2009 Nonlinear waves in Bose-Einstein condensates: physical relevance and mathematical techniques. Zbl 1216.82023 Carretero-González, R.; Frantzeskakis, D. J.; Kevrekidis, P. G. 72 2008 The sine-Gordon model and its applications. From pendula and Josephson junctions to gravity and high-energy physics. Zbl 1341.37046 56 2014 Stability of discrete solitons in nonlinear Schrödinger lattices. Zbl 1088.39004 Pelinovsky, D. E.; Kevrekidis, P. G.; Frantzeskakis, D. J. 47 2005 Counting eigenvalues via the Krein signature in infinite-dimensional Hamiltonian systems. Zbl 1080.37070 Kapitula, Todd; Kevrekidis, Panayotis G.; Sandstede, Björn 43 2005 Asymptotic behaviour of small solutions for the discrete nonlinear Schrödinger and Klein-Gordon equations. Zbl 1181.35266 Stefanov, Atanas; Kevrekidis, Panayotis G. 40 2005 The defocusing nonlinear Schrödinger equation. From dark solitions to vortices and vortex rings. Zbl 1336.81004 Kevrekidis, Panayotis G.; Frantzeskakis, Dimitri J.; Carretero-González, Ricardo 40 2015 Symmetry-breaking bifurcation in nonlinear Schrödinger/Gross-Pitaevskii equations. Zbl 1157.35479 Kirr, E. W.; Kevrekidis, P. G.; Shlizerman, E.; Weinstein, M. I. 39 2008 Symmetry-breaking bifurcation in the nonlinear Schrödinger equation with symmetric potentials. Zbl 1235.34128 Kirr, E.; Kevrekidis, P. G.; Pelinovsky, D. E. 36 2011 Non-linear waves in lattices: past, present, future. Zbl 1230.37099 Kevrekidis, P. G. 33 2011 Discrete solitons in nonlinear Schrödinger lattices with a power-law nonlinearity. Zbl 1153.82321 Cuevas, J.; Kevrekidis, P. G.; Frantzeskakis, D. J.; Malomed, B. A. 27 2009 Highly nonlinear solitary waves in heterogeneous periodic granular media. Zbl 1160.37410 Porter, Mason A.; Daraio, Chiara; Szelengowicz, Ivan; Herbold, Eric B.; Kevrekidis, P. G. 27 2009 Well-posedness and small data scattering for the generalized Ostrovsky equation. Zbl 1202.35259 Stefanov, Atanas; Shen, Yannan; Kevrekidis, P. G. 26 2010 Persistence and stability of discrete vortices in nonlinear Schrödinger lattices. Zbl 1088.39005 Pelinovsky, D. E.; Kevrekidis, P. G.; Frantzeskakis, D. J. 25 2005 Breathers in oscillator chains with Hertzian interactions. Zbl 1278.37053 James, Guillaume; Kevrekidis, Panayotis G.; Cuevas, Jesús 21 2013 Vortex interaction dynamics in trapped Bose-Einstein condensates. Zbl 1238.34098 Torres, Pedro J.; Carretero-González, R.; Middelkamp, S.; Schmelcher, P.; Frantzeskakis, Dimitri J.; Kevrekidis, P. G. 20 2011 On the stability of multibreathers in Klein-Gordon chains. Zbl 1179.37103 Koukouloyannis, Vassilis; Kevrekidis, Panayotis G. 20 2009 Travelling solitary waves in the discrete Schrödinger equation with saturable nonlinearity: Existence, stability and dynamics. Zbl 1167.35448 Melvin, T. R. O.; Champneys, A. R.; Kevrekidis, P. G.; Cuevas, J. 19 2008 Stability of waves in discrete systems. Zbl 1001.37080 Kapitula, Todd; Kevrekidis, Panayotis 19 2001 Rogue waves in nonlinear Schrödinger models with variable coefficients: application to Bose-Einstein condensates. Zbl 1331.81100 He, J. S.; Charalampidis, E. G.; Kevrekidis, P. G.; Frantzeskakis, D. J. 19 2014 Asymptotic stability of small bound states in the discrete nonlinear Schrödinger equation. Zbl 1197.35270 Kevrekidis, P. G.; Pelinovsky, D. E.; Stefanov, A. 19 2009 On the existence of solitary traveling waves for generalized Hertzian chains. Zbl 1266.37044 Stefanov, Atanas; Kevrekidis, Panayotis 19 2012 Continuum approach to discreteness. Zbl 1244.39005 Kevrekidis, P. G.; Kevrekidis, I. G.; Bishop, A. R.; Titi, E. S. 18 2002 Kink-antikink collisions and multi-bounce resonance windows in higher-order field theories. Zbl 1461.83073 Christov, Ivan C.; Decker, Robert J.; Demirkaya, A.; Gani, Vakhid A.; Kevrekidis, P. G.; Saxena, Avadh 18 2021 Modulated amplitude waves in collisionally inhomogeneous Bose-Einstein condensates. Zbl 1113.82040 Porter, Mason A.; Kevrekidis, P. G.; Malomed, Boris A.; Frantzeskakis, D. J. 17 2007 On a class of discretizations of Hamiltonian nonlinear partial differential equations. Zbl 1031.70001 Kevrekidis, P. G. 17 2003 Traveling waves and their tails in locally resonant granular systems. Zbl 1312.74007 Xu, H.; Kevrekidis, P. G.; Stefanov, A. 17 2015 Spontaneous symmetry breaking in photonic lattices: theory and experiment. Zbl 1145.78310 Kevrekidis, P. G.; Chen, Zhigang; Malomed, B. A.; Frantzeskakis, D. J.; Weinstein, M. I. 16 2005 Three is a crowd: solitary waves in photorefractive media with three potential wells. Zbl 1210.35171 Kapitula, Todd; Kevrekidis, P. G.; Chen, Zhigang 14 2006 Discrete Klein-Gordon models with static kinks free of the Peierls-Nabarro potential. Zbl 1083.82013 Dmitriev, S. V.; Kevrekidis, P. G.; Yoshikawa, N. 14 2005 Kink dynamics in a parametric \({\phi}^6\) system: a model with controllably many internal modes. Zbl 1383.81128 Demirkaya, A.; Decker, R.; Kevrekidis, P. G.; Christov, I. C.; Saxena, A. 14 2017 Multistable solitons in higher-dimensional cubic-quintic nonlinear Schrödinger lattices. Zbl 1155.37324 Chong, C.; Carretero-González, R.; Malomed, B. A.; Kevrekidis, P. G. 14 2009 On some classes of mKdV periodic solutions. Zbl 1084.35073 Kevrekidis, P. G.; Khare, Avinash; Saxena, A.; Herring, G. 14 2004 Dynamics of lattice kinks. Zbl 0954.35142 Kevrekidis, P. G.; Weinstein, M. I. 13 2000 Wave propagation in a strongly nonlinear locally resonant granular crystal. Zbl 1380.74024 Vorotnikov, K.; Starosvetsky, Y.; Theocharis, G.; Kevrekidis, P. G. 13 2018 Deciding the nature of the coarse equation through microscopic simulations: the baby-bathwater scheme. Zbl 1147.82347 Li, Ju; Kevrekidis, Panayotis G.; Gear, C. William; Kevrekidis, Ioannis G. 12 2007 Multibreather and vortex breather stability in Klein-Gordon lattices: equivalence between two different approaches. Zbl 1248.37071 Cuevas, Jesús; Koukouloyannis, Vassilis; Kevrekidis, Panayotis G.; Archilla, Juan F. R. 12 2011 Equation-free, effective computation for discrete systems: a time stepper based approach. Zbl 1140.93422 Möller, J.; Runborg, O.; Kevrekidis, P. G.; Lust, K.; Kevrekidis, I. G. 12 2005 Short pulse equations and localized structures in frequency band gaps of nonlinear metamaterials. Zbl 1248.82051 Tsitsas, N. L.; Horikis, T. P.; Shen, Y.; Kevrekidis, P. G.; Whitaker, N.; Frantzeskakis, D. J. 11 2010 Vortices in Bose-Einstein condensates: some recent developments. Zbl 1086.82014 Kevrekidis, P. G.; Carretero-González, R.; Frantzeskakis, D. J.; Kevrekidis, I. G. 11 2004 A tale of two distributions: from few to many vortices in quasi-two-dimensional Bose-Einstein condensates. Zbl 1371.82060 Kolokolnikov, T.; Kevrekidis, P. G.; Carretero-González, R. 11 2014 Nonlinear stationary states in PT-symmetric lattices. Zbl 1284.34017 Kevrekidis, Panayotis G.; Pelinovsky, Dmitry E.; Tyugin, Dmitry 11 2013 Linear stability of perturbed Hamiltonian systems: theory and a case example. Zbl 1061.70012 Kapitula, T.; Kevrekidis, P. G. 10 2004 Bose-Einstein condensates in the presence of a magnetic trap and optical lattice. Zbl 1144.37362 Kapitula, Todd; Kevrekidis, P. G. 10 2005 Nonlinear dynamics in PT-symmetric lattices. Zbl 1284.35402 Kevrekidis, Panayotis G.; Pelinovsky, Dmitry E.; Tyugin, Dmitry Y. 10 2013 Multibreathers in Klein-Gordon chains with interactions beyond nearest neighbors. Zbl 1321.37073 Koukouloyannis, V.; Kevrekidis, P. G.; Cuevas, J.; Rothos, V. 10 2013 Escape dynamics in the discrete repulsive \({\phi}^4\) model. Zbl 1308.35260 Achilleos, V.; Álvarez, A.; Cuevas, J.; Frantzeskakis, D. J.; Karachalios, N. I.; Kevrekidis, P. G.; Sánchez-Rey, B. 10 2013 Discrete nonlinear Schrödinger equations free of the Peierls-Nabarro potential. Zbl 1160.35535 Dmitriev, S. V.; Kevrekidis, P. G.; Sukhorukov, A. A.; Yoshikawa, N.; Takeno, S. 9 2006 Computing stationary solutions of the two-dimensional Gross-Pitaevskii equation with deflated continuation. Zbl 1510.35291 Charalampidis, Efstathios G.; Kevrekidis, P. G.; Farrell, Patrick Emmet 9 2018 Traveling waves for the mass in mass model of granular chains. Zbl 1345.37083 Kevrekidis, Panayotis G.; Stefanov, Atanas G.; Xu, Haitao 9 2016 Nonlinear instabilities of multi-site breathers in Klein-Gordon lattices. Zbl 1353.34014 Cuevas-Maraver, Jesús; Kevrekidis, Panayotis G.; Pelinovsky, Dmitry E. 9 2016 Traveling waves for monomer chains with precompression. Zbl 1323.37049 Stefanov, Atanas; Kevrekidis, Panayotis 9 2013 On the nonexistence of degenerate phase-shift discrete solitons in a dNLS nonlocal lattice. Zbl 1390.37125 Penati, T.; Sansottera, M.; Paleari, S.; Koukouloyannis, V.; Kevrekidis, P. G. 9 2018 Decoupling of the general scalar field mode and the solution space for Bianchi type I and V cosmologies coupled to perfect fluid sources. Zbl 1111.83011 Christodoulakis, T.; Grammenos, Th.; Helias, Ch.; Kevrekidis, P. G.; Spanou, A. 8 2006 Exact static solutions to a translationally invariant discrete \(\phi^{4}\) model. Zbl 1113.81094 Dmitriev, Sergey V.; Kevrekidis, Panayotis G.; Khare, Avinash; Saxena, Avadh 8 2007 Variational approximations in discrete nonlinear Schrödinger equations with next-nearest-neighbor couplings. Zbl 1218.35222 Chong, C.; Carretero-González, R.; Malomed, B. A.; Kevrekidis, P. G. 8 2011 Variational approximations of trapped vortices in the large-density limit. Zbl 1216.35145 Pelinovsky, D. E.; Kevrekidis, P. G. 8 2011 Integrability revisited: a necessary condition. Zbl 0969.37526 Kevrekidis, P. G. 8 2001 Breathers in a locally resonant granular chain with precompression. Zbl 1364.74028 Liu, Lifeng; James, Guillaume; Kevrekidis, Panayotis; Vainchtein, Anna 8 2016 Breathers for the discrete nonlinear Schrödinger equation with nonlinear hopping. Zbl 1323.37047 Karachalios, N. I.; Sánchez-Rey, B.; Kevrekidis, P. G.; Cuevas, J. 8 2013 Excited states in the large density limit: a variational approach. Zbl 1197.35264 Coles, M. P.; Pelinovsky, D. E.; Kevrekidis, P. G. 8 2010 Existence and spectral stability of multi-pulses in discrete Hamiltonian lattice systems. Zbl 1493.37089 Parker, Ross; Kevrekidis, P. G.; Sandstede, Björn 8 2020 Rotating matter waves in Bose-Einstein condensates. Zbl 1124.35085 Kapitula, Todd; Kevrekidis, P. G.; Carretero-González, R. 7 2007 Stability of discrete dark solitons in nonlinear Schrödinger lattices. Zbl 1144.39008 Pelinovsky, D. E.; Kevrekidis, P. G. 7 2008 Bose-Einstein condensates in superlattices. Zbl 1145.82309 Porter, Mason A.; Kevrekidis, P. G. 7 2005 Standard nearest-neighbour discretizations of Klein-Gordon models cannot preserve both energy and linear momentum. Zbl 1098.81055 Dmitriev, S. V.; Kevrekidis, P. G.; Yoshikawa, N. 7 2006 Strongly nonlinear waves in locally resonant granular chains. Zbl 1352.37182 Liu, Lifeng; James, Guillaume; Kevrekidis, Panayotis; Vainchtein, Anna 7 2016 Dynamics of vortex dipoles in anisotropic Bose-Einstein condensates. Zbl 1319.34080 Goodman, Roy H.; Kevrekidis, P. G.; Carretero-González, R. 7 2015 Focusing revisited: a renormalization/bifurcation approach. Zbl 1108.35135 Siettos, C. I.; Kevrekidis, I. G.; Kevrekidis, P. G. 7 2003 Lockdown measures and their impact on single- and two-age-structured epidemic model for the COVID-19 outbreak in Mexico. Zbl 1475.92152 Cuevas-Maraver, J.; Kevrekidis, P. G.; Chen, Q. Y.; Kevrekidis, G. A.; Villalobos-Daniel, Víctor; Rapti, Z.; Drossinos, Y. 7 2021 Bifurcation analysis of stationary solutions of two-dimensional coupled Gross-Pitaevskii equations using deflated continuation. Zbl 1453.37070 Charalampidis, E. G.; Boullé, Nicolas; Farrell, Patrick E.; Kevrekidis, P. G. 7 2020 Nonlinearity from linearity: the Ermakov-Pinney equation revisited. Zbl 1116.34007 Kevrekidis, Panayotis G.; Drossinos, Yannis 6 2007 Exact stationary solutions for the translationally invariant discrete nonlinear Schrödinger equations. Zbl 1121.35128 Dmitriev, S. V.; Kevrekidis, P. G.; Yoshikawa, N.; Frantzeskakis, D. J. 6 2007 Lyapunov-Schmidt reduction algorithm for three-dimensional discrete vortices. Zbl 1147.35097 Lukas, Mike; Pelinovsky, Dmitry; Kevrekidis, P. G. 6 2008 Radial standing and self-similar waves for the hyperbolic cubic NLS in 2D. Zbl 1216.35142 Kevrekidis, Panayotis; Nahmod, Andrea R.; Zeng, Chongchun 6 2011 Deciding the nature of the coarse equation through microscopic simulations: The baby-bathwater scheme. Zbl 1031.65019 Li, Ju; Kevrekidis, Panayotis G.; Gear, C. William; Kevrekidis, Ioannis G. 6 2003 Bound states of two-dimensional solitons in the discrete nonlinear Schrödinger equation. Zbl 0997.35087 Kevrekidis, P. G.; Malomed, B. A.; Bishop, A. R. 6 2001 On \((2+1)\)-dimensional Friedmann-Robertson-Walker universe: an Ermakov-Pinney equation approach. Zbl 1038.83056 Williams, F. L.; Kevrekidis, P. G. 6 2003 Discrete compactons: Some exact results. Zbl 1040.37067 Kevrekidis, P. G.; Konotop, V. V.; Bishop, A. R.; Takeno, S. 6 2002 Dark solitons in external potentials. Zbl 1157.35089 Pelinovsky, Dmitry E.; Kevrekidis, Panayotis G. 6 2008 Dynamics of phase transitions in a piecewise linear diatomic chain. Zbl 1366.37139 Vainchtein, Anna; Kevrekidis, Panayotis G. 6 2012 Traveling waves of the regularized short pulse equation. Zbl 1302.35093 Shen, Y.; Horikis, T. P.; Kevrekidis, P. G.; Frantzeskakis, D. J. 6 2014 Asymmetric wave propagation through nonlinear PT-symmetric oligomers. Zbl 1263.81153 D’Ambroise, J.; Kevrekidis, P. G.; Lepri, S. 6 2012 Nonlinear \(\mathcal{PT}\)-symmetric plaquettes. Zbl 1263.81169 Li, Kai; Kevrekidis, P. G.; Malomed, Boris A.; Günther, Uwe 6 2012 An energy-based stability criterion for solitary travelling waves in Hamiltonian lattices. Zbl 1402.37086 Xu, Haitao; Cuevas-Maraver, Jesús; Kevrekidis, Panayotis G.; Vainchtein, Anna 6 2018 Existence, stability, and scattering of bright vortices in the cubic-quintic nonlinear Schrödinger equation. Zbl 1302.78022 Caplan, R. M.; Carretero-González, R.; Kevrekidis, P. G.; Malomed, B. A. 5 2012 Dynamics and manipulation of matter-wave solitons in optical superlattices. Zbl 1187.78056 Porter, Mason A.; Kevrekidis, P. G.; Carretero-González, R.; Frantzeskakis, D. J. 5 2006 Existence and stability of multisite breathers in honeycomb and hexagonal lattices. Zbl 1191.81113 Koukouloyannis, V.; Kevrekidis, P. G.; Law, K. J. H.; Kourakis, I.; Frantzeskakis, D. J. 5 2010 Being stable and discrete. Zbl 0936.35168 Balmforth, N. J.; Craster, R. V.; Kevrekidis, P. G. 5 2000 Resonant and non-resonant modulated amplitude waves for binary Bose–Einstein condensates in optical lattices. Zbl 1098.81881 Porter, Mason A.; Kevrekidis, P. G.; Malomed, Boris A. 5 2004 Nonlinear lattice dynamics of Bose-Einstein condensates. Zbl 1080.82016 Porter, Mason A.; Carretero-González, R.; Kevrekidis, P. G.; Malomed, Boris A. 5 2005 Domain walls of single-component Bose–Einstein condensates in external potentials. Zbl 1071.82007 Kevrekidis, P. G.; Malomed, B. A.; Frantzeskakis, D. J.; Bishop, A. R.; Nistazakis, H. E.; Carretero-González, R. 5 2005 Vortex nucleation in a dissipative variant of the nonlinear Schrödinger equation under rotation. Zbl 1364.35326 Carretero-González, R.; Kevrekidis, P. G.; Kolokolnikov, T. 5 2016 Higher-order lattice diffraction: solitons in the discrete NLS equation with next-nearest-neighbor interactions. Zbl 1057.82007 Kevrekidis, P. G.; Malomed, B. A.; Saxena, A.; Bishop, A. R.; Frantzeskakis, D. J. 5 2003 On the spectral stability of kinks in some \(\mathcal{PT}\)-symmetric variants of the classical Klein-Gordon field theories. Zbl 1304.35608 Demirkaya, A.; Kapitula, T.; Kevrekidis, P. G.; Stanislavova, M.; Stefanov, A. 5 2014 Stationary multi-kinks in the discrete sine-Gordon equation. Zbl 1487.37088 Parker, Ross; Kevrekidis, P. G.; Aceves, Alejandro 5 2022 Solitary waves in the Ablowitz-Ladik equation with power-law nonlinearity. Zbl 1425.35178 Cuevas-Maraver, J.; Kevrekidis, P. G.; Malomed, Boris A.; Guo, Lijuan 5 2019 Spatio-temporal modelling of phenotypic heterogeneity in tumour tissues and its impact on radiotherapy treatment. Zbl 1504.92032 Celora, Giulia L.; Byrne, Helen M.; Kevrekidis, P. G. 2 2023 The role of mobility in the dynamics of the COVID-19 epidemic in Andalusia. Zbl 1519.92297 Rapti, Z.; Cuevas-Maraver, J.; Kontou, E.; Liu, S.; Drossinos, Y.; Kevrekidis, P. G.; Barmann, M.; Chen, Q.-Y.; Kevrekidis, G. A. 1 2023 The stability of the \(b\)-family of peakon equations. Zbl 1506.35013 Charalampidis, Efstathios G.; Parker, Ross; Kevrekidis, Panayotis G.; Lafortune, Stéphane 1 2023 Efficient manipulation of Bose-Einstein condensates in a double-well potential. Zbl 1517.35199 Adriazola, Jimmie; Goodman, Roy; Kevrekidis, Panayotis 1 2023 Stationary multi-kinks in the discrete sine-Gordon equation. Zbl 1487.37088 Parker, Ross; Kevrekidis, P. G.; Aceves, Alejandro 5 2022 Neural networks enforcing physical symmetries in nonlinear dynamical lattices: the case example of the Ablowitz-Ladik model. Zbl 1512.35512 Zhu, Wei; Khademi, Wesley; Charalampidis, Efstathios G.; Kevrekidis, Panayotis G. 3 2022 Mixed dispersion nonlinear Schrödinger equation in higher dimensions: theoretical analysis and numerical computations. Zbl 1507.35264 Stefanov, Atanas; Tsolias, Georgios A.; Cuevas-Maraver, Jesús; Kevrekidis, Panayotis G. 3 2022 Dispersive shock waves in lattices: a dimension reduction approach. Zbl 1517.37083 Chong, Christopher; Herrmann, Michael; Kevrekidis, P. G. 1 2022 Asymptotic dynamics of higher-order lumps in the Davey-Stewartson II equation. Zbl 1511.35079 Guo, Lijuan; Kevrekidis, P. G.; He, Jingsong 1 2022 Unstable dynamics of solitary traveling waves in a lattice with long-range interactions. Zbl 1521.35074 Duran, Henry; Xu, Haitao; Kevrekidis, Panayotis G.; Vainchtein, Anna 1 2022 Kink-antikink collisions and multi-bounce resonance windows in higher-order field theories. Zbl 1461.83073 Christov, Ivan C.; Decker, Robert J.; Demirkaya, A.; Gani, Vakhid A.; Kevrekidis, P. G.; Saxena, Avadh 18 2021 Lockdown measures and their impact on single- and two-age-structured epidemic model for the COVID-19 outbreak in Mexico. Zbl 1475.92152 Cuevas-Maraver, J.; Kevrekidis, P. G.; Chen, Q. Y.; Kevrekidis, G. A.; Villalobos-Daniel, Víctor; Rapti, Z.; Drossinos, Y. 7 2021 Kink-antikink interaction forces and bound states in a \(\phi^4\) model with quadratic and quartic dispersion. Zbl 1519.81385 Tsolias, G. A.; Decker, Robert J.; Demirkaya, A.; Alexander, Tristram J.; Kevrekidis, P. G. 5 2021 Breather stripes and radial breathers of the two-dimensional sine-Gordon equation. Zbl 1453.76029 Kevrekidis, P. G.; Carretero-González, R.; Cuevas-Maraver, J.; Frantzeskakis, D. J.; Caputo, J.-G.; Malomed, B. A. 4 2021 Kink dynamics in a nonlinear beam model. Zbl 1459.76028 Decker, Robert J.; Demirkaya, A.; Kevrekidis, P. G.; Iglesias, Digno; Severino, Jeff; Shavit, Yonatan 4 2021 Universal reductions and solitary waves of weakly nonlocal defocusing nonlinear Schrödinger equations. Zbl 1519.35293 Koutsokostas, G. N.; Horikis, T. P.; Kevrekidis, P. G.; Frantzeskakis, D. J. 2 2021 Solitary waves with intensity-dependent dispersion: variational characterization. Zbl 1519.35057 Pelinovsky, D. E.; Ross, R. M.; Kevrekidis, P. G. 2 2021 Phenotypic variation modulates the growth dynamics and response to radiotherapy of solid tumours under normoxia and hypoxia. Zbl 1470.92068 Celora, Giulia L.; Byrne, Helen M.; Zois, Christos E.; Kevrekidis, P. G. 1 2021 Localization in optical systems with an intensity-dependent dispersion. Zbl 1479.35820 Ross, R. M.; Kevrekidis, P. G.; Pelinovsky, D. E. 1 2021 Exploring critical points of energy landscapes: from low-dimensional examples to phase field crystal PDEs. Zbl 1467.74071 Subramanian, P.; Kevrekidis, I. G.; Kevrekidis, P. G. 1 2021 Existence and spectral stability of multi-pulses in discrete Hamiltonian lattice systems. Zbl 1493.37089 Parker, Ross; Kevrekidis, P. G.; Sandstede, Björn 8 2020 Bifurcation analysis of stationary solutions of two-dimensional coupled Gross-Pitaevskii equations using deflated continuation. Zbl 1453.37070 Charalampidis, E. G.; Boullé, Nicolas; Farrell, Patrick E.; Kevrekidis, P. G. 7 2020 Solitary waves in the resonant nonlinear Schrödinger equation: stability and dynamical properties. Zbl 1448.35484 Williams, F.; Tsitoura, F.; Horikis, T. P.; Kevrekidis, P. G. 4 2020 Kink-antikink interaction forces and bound states in a biharmonic \(\phi^4\) model. Zbl 1519.35261 Decker, Robert J.; Demirkaya, A.; Manton, N. S.; Kevrekidis, P. G. 4 2020 Collision of \(\phi^4\) kinks free of the Peierls-Nabarro barrier in the regime of strong discreteness. Zbl 1490.35373 Askari, Alidad; Moradi Marjaneh, Aliakbar; Rakhmatullina, Zhanna G.; Ebrahimi-Loushab, Mahdy; Saadatmand, Danial; Gani, Vakhid A.; Kevrekidis, Panayotis G.; Dmitriev, Sergey V. 4 2020 Emerging frontiers in nonlinear science. Zbl 1435.00056 4 2020 Stability of traveling waves in a driven Frenkel-Kontorova model. Zbl 1452.37079 Vainchtein, Anna; Cuevas-Maraver, Jesús; Kevrekidis, Panayotis G.; Xu, Haitao 2 2020 Extreme wave events for a nonlinear Schrödinger equation with linear damping and Gaussian driving. Zbl 1451.35184 Fotopoulos, G.; Frantzeskakis, D. J.; Karachalios, N. I.; Kevrekidis, P. G.; Koukouloyannis, V.; Vetas, K. 2 2020 Propagation of periodic wave trains along the magnetic field in a collision-free plasma. Zbl 1519.82125 Abbas, G.; Kevrekidis, P. G.; Allen, J. E.; Koukouloyannis, V.; Frantzeskakis, D. J.; Karachalios, N. 2 2020 A quantitative framework for exploring exit strategies from the COVID-19 lockdown. Zbl 1495.92082 Fokas, A. S.; Cuevas-Maraver, J.; Kevrekidis, P. G. 2 2020 Vortex pairs in the discrete nonlinear Schrödinger equation. Zbl 1486.34049 Bramburger, J. J.; Cuevas-Maraver, J.; Kevrekidis, P. G. 1 2020 Stability analysis of ground states in a one-dimensional trapped spin-1 Bose gas. Zbl 1451.82050 Schmied, Christian-Marcel; Gasenzer, T.; Oberthaler, M. K.; Kevrekidis, P. G. 1 2020 Solitary waves in the Ablowitz-Ladik equation with power-law nonlinearity. Zbl 1425.35178 Cuevas-Maraver, J.; Kevrekidis, P. G.; Malomed, Boris A.; Guo, Lijuan 5 2019 On the nonexistence of degenerate phase-shift multibreathers in Klein-Gordon models with interactions beyond nearest neighbors. Zbl 1453.37067 Penati, T.; Koukouloyannis, V.; Sansottera, M.; Kevrekidis, P. G.; Paleari, S. 3 2019 Dynamical transitions between equilibria in a dissipative Klein-Gordon lattice. Zbl 1419.82011 Frantzeskakis, D. J.; Karachalios, N. I.; Kevrekidis, P. G.; Koukouloyannis, V.; Vetas, K. 2 2019 Continuous families of solitary waves in non-symmetric complex potentials: a Melnikov theory approach. Zbl 1442.35064 Kominis, Yannis; Cuevas-Maraver, Jesús; Kevrekidis, Panayotis G.; Frantzeskakis, Dimitrios J.; Bountis, Anastasios 2 2019 Evaluating the robustness of rogue waves under perturbations. Zbl 1511.65097 Ward, C. B.; Kevrekidis, P. G.; Whitaker, N. 2 2019 A numerical bifurcation analysis of a dryland vegetation model. Zbl 1509.35038 Ward, C. B.; Kevrekidis, P. G.; Whitaker, N. 1 2019 Dynamics and stabilization of bright soliton stripes in the hyperbolic-dispersion nonlinear Schrödinger equation. Zbl 1464.81027 Cisneros-Ake, L. A.; Carretero-González, R.; Kevrekidis, P. G.; Malomed, B. A. 1 2019 Instabilities via negative Krein signature in a weakly non-Hamiltonian DNLS model. Zbl 1435.82016 Kevrekidis, Panayotis G. 1 2019 Breathers and other time-periodic solutions in an array of cantilevers decorated with magnets. Zbl 1448.34084 Chong, Christopher; Foehr, Andre; Charalampidis, Efstathios G.; Kevrekidis, Panayotis G.; Daraio, Chiara 1 2019 Wave propagation in a strongly nonlinear locally resonant granular crystal. Zbl 1380.74024 Vorotnikov, K.; Starosvetsky, Y.; Theocharis, G.; Kevrekidis, P. G. 13 2018 Computing stationary solutions of the two-dimensional Gross-Pitaevskii equation with deflated continuation. Zbl 1510.35291 Charalampidis, Efstathios G.; Kevrekidis, P. G.; Farrell, Patrick Emmet 9 2018 On the nonexistence of degenerate phase-shift discrete solitons in a dNLS nonlocal lattice. Zbl 1390.37125 Penati, T.; Sansottera, M.; Paleari, S.; Koukouloyannis, V.; Kevrekidis, P. G. 9 2018 An energy-based stability criterion for solitary travelling waves in Hamiltonian lattices. Zbl 1402.37086 Xu, Haitao; Cuevas-Maraver, Jesús; Kevrekidis, Panayotis G.; Vainchtein, Anna 6 2018 Resonant interaction of \(\phi^4\) kink with \(\mathcal{PT}\)-symmetric perturbation with spatially periodic gain/loss coefficient. Zbl 1510.35185 Saadatmand, Danial; Borisov, Denis I.; Kevrekidis, Panayotis G.; Zhou, Kun; Dmitriev, Sergey V. 3 2018 Multi-vortex crystal lattices in Bose-Einstein condensates with a rotating trap. Zbl 1402.82020 Xie, Shuangquan; Kevrekidis, Panayotis G.; Kolokolnikov, Theodore 3 2018 Quasiperiodic granular chains and Hofstadter butterflies. Zbl 1404.70056 Martínez, Alejandro J.; Porter, Mason A.; Kevrekidis, P. G. 3 2018 Peregrine solitons and gradient catastrophes in discrete nonlinear Schrödinger systems. Zbl 1404.35414 Hoffmann, C.; Charalampidis, E. G.; Frantzeskakis, D. J.; Kevrekidis, P. G. 2 2018 Solitary waves of the two-dimensional Camassa-Holm-nonlinear Schrödinger equation. Zbl 1411.35246 Ward, C. B.; Mylonas, I. K.; Kevrekidis, P. G.; Frantzeskakis, D. J. 1 2018 Kink dynamics in a parametric \({\phi}^6\) system: a model with controllably many internal modes. Zbl 1383.81128 Demirkaya, A.; Decker, R.; Kevrekidis, P. G.; Christov, I. C.; Saxena, A. 14 2017 Spatiotemporal algebraically localized waveforms for a nonlinear Schrödinger model with gain and loss. Zbl 1378.35033 Anastassi, Z. A.; Fotopoulos, G.; Frantzeskakis, D. J.; Horikis, T. P.; Karachalios, N. I.; Kevrekidis, P. G.; Stratis, I. G.; Vetas, K. 3 2017 Dark – bright soliton dynamics beyond the mean-field approximation. Zbl 1516.35356 Katsimiga, G. C.; Koutentakis, G. M.; Mistakidis, S. I.; Kevrekidis, P. G.; Schmelcher, P. 3 2017 Asymptotic expansions and solitons of the Camassa-Holm - nonlinear Schrödinger equation. Zbl 1378.35280 Mylonas, I. K.; Ward, C. B.; Kevrekidis, P. G.; Rothos, V. M.; Frantzeskakis, D. J. 2 2017 Existence, stability, and dynamics of harmonically trapped one-dimensional multi-component solitary waves: the near-linear limit. Zbl 1370.35246 Xu, H.; Kevrekidis, P. G.; Kapitula, T. 2 2017 On the characterization of vortex configurations in the steady rotating Bose-Einstein condensates. Zbl 1404.82035 Kevrekidis, P. G.; Pelinovsky, D. E. 2 2017 A Korteweg-de Vries description of dark solitons in polariton superfluids. Zbl 1375.35443 Carretero-González, R.; Cuevas-Maraver, J.; Frantzeskakis, D. J.; Horikis, T. P.; Kevrekidis, P. G.; Rodrigues, A. S. 1 2017 Solitary waves in a two-dimensional nonlinear Dirac equation: from discrete to continuum. Zbl 1380.81103 Cuevas-Maraver, J.; Kevrekidis, P. G.; Aceves, A. B.; Saxena, Avadh 1 2017 Revisiting diffusion: self-similar solutions and the \(t^{-1/2}\) decay in initial and initial-boundary value problems. Zbl 1370.35154 Kevrekidis, P. G.; Williams, M. O.; Mantzavinos, D.; Charalampidis, E. G.; Choi, M.; Kevrekidis, I. G. 1 2017 Editorial. Theoretical and computational advances in nonlinear dynamical systems. Zbl 1412.00028 1 2017 Traveling waves for the mass in mass model of granular chains. Zbl 1345.37083 Kevrekidis, Panayotis G.; Stefanov, Atanas G.; Xu, Haitao 9 2016 Nonlinear instabilities of multi-site breathers in Klein-Gordon lattices. Zbl 1353.34014 Cuevas-Maraver, Jesús; Kevrekidis, Panayotis G.; Pelinovsky, Dmitry E. 9 2016 Breathers in a locally resonant granular chain with precompression. Zbl 1364.74028 Liu, Lifeng; James, Guillaume; Kevrekidis, Panayotis; Vainchtein, Anna 8 2016 Strongly nonlinear waves in locally resonant granular chains. Zbl 1352.37182 Liu, Lifeng; James, Guillaume; Kevrekidis, Panayotis; Vainchtein, Anna 7 2016 Vortex nucleation in a dissipative variant of the nonlinear Schrödinger equation under rotation. Zbl 1364.35326 Carretero-González, R.; Kevrekidis, P. G.; Kolokolnikov, T. 5 2016 A \(\mathcal{PT}\)-symmetric dual-core system with the sine-Gordon nonlinearity and derivative coupling. Zbl 1373.35195 Cuevas-Maraver, Jesús; Malomed, Boris A.; Kevrekidis, Panayotis G. 2 2016 Collapse for the higher-order nonlinear Schrödinger equation. Zbl 1364.35323 Achilleos, V.; Diamantidis, S.; Frantzeskakis, D. J.; Horikis, T. P.; Karachalios, N. I.; Kevrekidis, P. G. 2 2016 Traveling wave solutions in a chain of periodically forced coupled nonlinear oscillators. Zbl 1364.34043 Duanmu, M.; Whitaker, N.; Kevrekidis, P. G.; Vainchtein, A.; Rubin, J. E. 2 2016 On the spontaneous time-reversal symmetry breaking in synchronously-pumped passive Kerr resonators. Zbl 1355.78034 Rossi, J.; Carretero-González, R.; Kevrekidis, P. G.; Haragus, M. 1 2016 Existence, stability and dynamics of discrete solitary waves in a binary waveguide array. Zbl 1346.82042 Shen, Y.; Kevrekidis, P. G.; Srinivasan, G.; Aceves, A. B. 1 2016 Existence and stability of \(\mathcal{PT}\)-symmetric states in nonlinear two-dimensional square lattices. Zbl 1364.39005 Xu, Haitao; Kevrekidis, P. G.; Pelinovsky, Dmitry E. 1 2016 Weakly nonlinear analysis of vortex formation in a dissipative variant of the Gross-Pitaevskii equation. Zbl 1342.35355 Tzou, J. C.; Kevrekidis, P. G.; Kolokolnikov, T.; Carretero-González, R. 1 2016 The defocusing nonlinear Schrödinger equation. From dark solitions to vortices and vortex rings. Zbl 1336.81004 Kevrekidis, Panayotis G.; Frantzeskakis, Dimitri J.; Carretero-González, Ricardo 40 2015 Traveling waves and their tails in locally resonant granular systems. Zbl 1312.74007 Xu, H.; Kevrekidis, P. G.; Stefanov, A. 17 2015 Dynamics of vortex dipoles in anisotropic Bose-Einstein condensates. Zbl 1319.34080 Goodman, Roy H.; Kevrekidis, P. G.; Carretero-González, R. 7 2015 Kink scattering from a parity-time-symmetric defect in the \(\phi^4\) model. Zbl 1510.35186 Saadatmand, Danial; Dmitriev, Sergey V.; Borisov, Denis I.; Kevrekidis, Panayotis G.; Fatykhov, Minnekhan A.; Javidan, Kurosh 5 2015 Conservation laws, exact traveling waves and modulation instability for an extended nonlinear Schrödinger equation. Zbl 1330.35370 Achilleos, V.; Diamantidis, S.; Frantzeskakis, D. J.; Karachalios, N. I.; Kevrekidis, P. G. 4 2015 Generating functions, polynomials and vortices with alternating signs in Bose-Einstein condensates. Zbl 1326.81233 Barry, Anna M.; Hajir, F.; Kevrekidis, P. G. 3 2015 Solitary waves in a discrete nonlinear Dirac equation. Zbl 1309.35101 Cuevas-Maraver, Jesús; Kevrekidis, Panayotis G.; Saxena, Avadh 2 2015 \(\mathcal{PT}\)-symmetric dimer in a generalized model of coupled nonlinear oscillators. Zbl 1329.81200 Cuevas-Maraver, Jesús; Khare, Avinash; Kevrekidis, Panayotis G.; Xu, Haitao; Saxena, Avadh 1 2015 Spectral stability analysis for standing waves of a perturbed Klein-Gordon equation. Zbl 1343.35027 Stefanov, Atanas; Stanislavova, Milena; Kevrekidis, Panayotis G.; Demirkaya, Aslihan 1 2015 Non-holonomic constraints and their impact on discretizations of Klein-Gordon lattice dynamical models. Zbl 1338.37111 Rapti, Zoi; Putkaradze, Vakhtang; Kevrekidis, Panayotis G. 1 2015 The sine-Gordon model and its applications. From pendula and Josephson junctions to gravity and high-energy physics. Zbl 1341.37046 56 2014 Rogue waves in nonlinear Schrödinger models with variable coefficients: application to Bose-Einstein condensates. Zbl 1331.81100 He, J. S.; Charalampidis, E. G.; Kevrekidis, P. G.; Frantzeskakis, D. J. 19 2014 A tale of two distributions: from few to many vortices in quasi-two-dimensional Bose-Einstein condensates. Zbl 1371.82060 Kolokolnikov, T.; Kevrekidis, P. G.; Carretero-González, R. 11 2014 Traveling waves of the regularized short pulse equation. Zbl 1302.35093 Shen, Y.; Horikis, T. P.; Kevrekidis, P. G.; Frantzeskakis, D. J. 6 2014 On the spectral stability of kinks in some \(\mathcal{PT}\)-symmetric variants of the classical Klein-Gordon field theories. Zbl 1304.35608 Demirkaya, A.; Kapitula, T.; Kevrekidis, P. G.; Stanislavova, M.; Stefanov, A. 5 2014 Justification of leading order quasicontinuum approximations of strongly nonlinear lattices. Zbl 1307.35256 Chong, Christopher; Kevrekidis, P. G.; Schneider, Guido 2 2014 \(\mathcal{PT}\)-symmetric sine-Gordon breathers. Zbl 1307.35033 Lu, Nan; Kevrekidis, Panayotis G.; Cuevas-Maraver, Jesús 2 2014 Quasi-energies, parametric resonances, and stability limits in ac-driven \(PT\)-symmetric systems. Zbl 1345.78009 D’Ambroise, Jennie; Malomed, Boris A.; Kevrekidis, P. G. 2 2014 Solitons and their ghosts in \(\mathcal{P}\mathcal{T}\)-symmetric systems with defocusing nonlinearities. Zbl 1327.35346 Achilleos, V.; Kevrekidis, P. G.; Frantzeskakis, D. J.; Carretero-González, R. 1 2014 Cubic-quintic long-range interactions with double well potentials. Zbl 1293.35306 Tsilifis, Panagiotis A.; Kevrekidis, Panayotis G.; Rothos, Vassilis M. 1 2014 Breathers in oscillator chains with Hertzian interactions. Zbl 1278.37053 James, Guillaume; Kevrekidis, Panayotis G.; Cuevas, Jesús 21 2013 Nonlinear stationary states in PT-symmetric lattices. Zbl 1284.34017 Kevrekidis, Panayotis G.; Pelinovsky, Dmitry E.; Tyugin, Dmitry 11 2013 Nonlinear dynamics in PT-symmetric lattices. Zbl 1284.35402 Kevrekidis, Panayotis G.; Pelinovsky, Dmitry E.; Tyugin, Dmitry Y. 10 2013 Multibreathers in Klein-Gordon chains with interactions beyond nearest neighbors. Zbl 1321.37073 Koukouloyannis, V.; Kevrekidis, P. G.; Cuevas, J.; Rothos, V. 10 2013 Escape dynamics in the discrete repulsive \({\phi}^4\) model. Zbl 1308.35260 Achilleos, V.; Álvarez, A.; Cuevas, J.; Frantzeskakis, D. J.; Karachalios, N. I.; Kevrekidis, P. G.; Sánchez-Rey, B. 10 2013 Traveling waves for monomer chains with precompression. Zbl 1323.37049 Stefanov, Atanas; Kevrekidis, Panayotis 9 2013 Breathers for the discrete nonlinear Schrödinger equation with nonlinear hopping. Zbl 1323.37047 Karachalios, N. I.; Sánchez-Rey, B.; Kevrekidis, P. G.; Cuevas, J. 8 2013 Bifurcations of asymmetric vortices in symmetric harmonic traps. Zbl 1270.35069 Pelinovsky, Dmitry E.; Kevrekidis, Panayotis G. 5 2013 ...and 139 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,913 Authors 115 Kevrekidis, Panayotis G. 59 Pelinovsky, Dmitry Efimovich 43 Kevrekidis, Ioannis George 32 Malomed, Boris A. 29 Cuevas Maraver, Jesús 29 Stefanov, Atanas G. 26 Frantzeskakis, Dimitri J. 18 Karachalios, Nikos I. 16 Yang, Jianke 15 Stanislavova, Milena 14 Carretero-González, Ricardo 14 Kapitula, Todd M. 14 Siettos, Constantinos I. 14 Susanto, Hadi 13 Samaey, Giovanni 13 Yan, Zhenya 12 Khare, Avinash 12 Saxena, Avadh Behari 11 Belmonte-Beitia, Juan 11 Dmitriev, Sergey V. 11 Vainchtein, Anna 10 Paleari, Simone 10 Penati, Tiziano 10 Zhou, Zhan 9 Goodman, Roy H. 9 Hennig, Dirk 9 Kutz, J. Nathan 8 Bramburger, Jason J. 8 Charalampidis, Efstathios G. 8 He, Jingsong 8 Hupkes, Hermen Jan 8 James, Guillaume 8 Kolokolnikov, Theodore 8 Maeda, Masaya 8 Parker, Ross 8 Roberts, Anthony John 8 Sandstede, Björn 8 Xu, Haitao 7 Alfimov, Georgiĭ Leonidovich 7 Campos, João G. F. 7 Coclite, Giuseppe Maria 7 Di Ruvo, Lorenzo 7 Gear, Charles William 7 Hakkaev, Sevdzhan A. 7 Horikis, Theodoros P. 7 Koukouloyannis, Vassilis 7 Liu, Qihuai 7 Lustri, Christopher J. 7 Rothos, Vassilis M. 7 Sacchetti, Andrea 7 Schmelcher, Peter 7 Schneider, Guido 7 Weinstein, Michael I. 6 Aceves, Alejandro B. 6 Alejo, Miguel A. 6 Brunton, Steven L. 6 Chong, Christopher 6 Cuccagna, Scipio 6 Demirkaya, Aslihan 6 Ekomasov, Evgeniĭ Grigor’evich 6 Faver, Timothy E. 6 Gani, Vakhid A. 6 Kavousanakis, Michail E. 6 Ma, Shiwang 6 Marzuola, Jeremy Louis 6 Mihalache, Dumitru 6 Mohammadi, Azadeh 6 Porter, Mason Alexander 6 Rapti, Zoi 6 Roose, Dirk 6 Starosvetsky, Yuli 6 Torres, Pedro José 6 Wright, J. 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