Ross, R. M.; Kevrekidis, P. G.; Pelinovsky, D. E. Localization in optical systems with an intensity-dependent dispersion. (English) Zbl 1479.35820 Q. Appl. Math. 79, No. 4, 641-665 (2021). MSC: 35Q55 35Q41 35Q60 78A60 35P15 35C08 35B65 35B40 65M70 65L06 65T50 65H10 PDF BibTeX XML Cite \textit{R. M. Ross} et al., Q. Appl. Math. 79, No. 4, 641--665 (2021; Zbl 1479.35820) Full Text: DOI arXiv OpenURL
Rossi, J.; Carretero-González, R.; Kevrekidis, P. G.; Haragus, M. On the spontaneous time-reversal symmetry breaking in synchronously-pumped passive Kerr resonators. (English) Zbl 1355.78034 J. Phys. A, Math. Theor. 49, No. 45, Article ID 455201, 21 p. (2016). Reviewer: Joseph Shomberg (Providence) MSC: 78A60 81R40 35Q60 35B32 PDF BibTeX XML Cite \textit{J. Rossi} et al., J. Phys. A, Math. Theor. 49, No. 45, Article ID 455201, 21 p. (2016; Zbl 1355.78034) Full Text: DOI arXiv OpenURL
Xu, H.; Kevrekidis, P. G.; Saxena, A. Generalized dimers and their Stokes-variable dynamics. (English) Zbl 1318.34068 J. Phys. A, Math. Theor. 48, No. 5, Article ID 055101, 21 p. (2015). Reviewer: Vladimir Răsvan (Craiova) MSC: 34C60 34C23 81Q05 34C20 78A50 PDF BibTeX XML Cite \textit{H. Xu} et al., J. Phys. A, Math. Theor. 48, No. 5, Article ID 055101, 21 p. (2015; Zbl 1318.34068) Full Text: DOI arXiv OpenURL
D’Ambroise, Jennie; Malomed, Boris A.; Kevrekidis, P. G. Quasi-energies, parametric resonances, and stability limits in ac-driven \(PT\)-symmetric systems. (English) Zbl 1345.78009 Chaos 24, No. 2, 023136, 10 p. (2014). MSC: 78A50 PDF BibTeX XML Cite \textit{J. D'Ambroise} et al., Chaos 24, No. 2, 023136, 10 p. (2014; Zbl 1345.78009) Full Text: DOI arXiv OpenURL
Carretero-González, Ricardo (ed.); Cuevas-Maraver, Jesús (ed.); Frantzeskakis, Dimitri (ed.); Karachalios, Nikos (ed.); Kevrekidis, Panayotis (ed.); Palmero-Acebedo, Faustino (ed.) Localized excitations in nonlinear complex systems. Current state of the art and future perspectives. Contributions of the 2nd conference, LENCOS’12, Sevilla, Spain, July 9–12, 2012. (English) Zbl 1280.76004 Nonlinear Systems and Complexity 7. Cham: Springer (ISBN 978-3-319-02056-3/hbk; 978-3-319-02057-0/ebook). xx, 432 p. (2014). MSC: 76-06 76Mxx 93C10 93C95 82B26 78A60 00A79 00B25 PDF BibTeX XML Cite \textit{R. Carretero-González} (ed.) et al., Localized excitations in nonlinear complex systems. Current state of the art and future perspectives. Contributions of the 2nd conference, LENCOS'12, Sevilla, Spain, July 9--12, 2012. Cham: Springer (2014; Zbl 1280.76004) Full Text: DOI OpenURL
Li, K.; Kevrekidis, P. G.; Frantzeskakis, D. J.; Rüter, C. E.; Kip, D. Revisiting the \(\mathcal{PT}\)-symmetric trimer: bifurcations, ghost states and associated dynamics. (English) Zbl 1275.81096 J. Phys. A, Math. Theor. 46, No. 37, Article ID 375304, 12 p. (2013). MSC: 81V80 81R05 81R40 78A50 78A48 PDF BibTeX XML Cite \textit{K. Li} et al., J. Phys. A, Math. Theor. 46, No. 37, Article ID 375304, 12 p. (2013; Zbl 1275.81096) Full Text: DOI arXiv OpenURL
Kevrekidis, Panayotis G.; Pelinovsky, Dmitry E.; Tyugin, Dmitry Y. Nonlinear dynamics in PT-symmetric lattices. (English) Zbl 1284.35402 J. Phys. A, Math. Theor. 46, No. 36, Article ID 365201, 17 p. (2013). Reviewer: Boris A. Malomed (Tel Aviv) MSC: 35Q55 82B20 78A60 PDF BibTeX XML Cite \textit{P. G. Kevrekidis} et al., J. Phys. A, Math. Theor. 46, No. 36, Article ID 365201, 17 p. (2013; Zbl 1284.35402) Full Text: DOI arXiv OpenURL
Achilleos, V.; Álvarez, A.; Cuevas, J.; Frantzeskakis, D. J.; Karachalios, N. I.; Kevrekidis, P. G.; Sánchez-Rey, B. Escape dynamics in the discrete repulsive \({\phi}^4\) model. (English) Zbl 1308.35260 Physica D 244, No. 1, 1-24 (2013). MSC: 35Q55 39A12 78A37 81Q05 35B32 35C08 35B35 81Q10 PDF BibTeX XML Cite \textit{V. Achilleos} et al., Physica D 244, No. 1, 1--24 (2013; Zbl 1308.35260) Full Text: DOI arXiv OpenURL
Caplan, R. M.; Carretero-González, R.; Kevrekidis, P. G.; Malomed, B. A. Existence, stability, and scattering of bright vortices in the cubic-quintic nonlinear Schrödinger equation. (English) Zbl 1302.78022 Math. Comput. Simul. 82, No. 7, 1150-1171 (2012). MSC: 78A60 35Q55 35B35 35Q51 78A45 78M20 78M30 PDF BibTeX XML Cite \textit{R. M. Caplan} et al., Math. Comput. Simul. 82, No. 7, 1150--1171 (2012; Zbl 1302.78022) Full Text: DOI arXiv OpenURL
Achilleos, V.; Theocharis, G.; Kevrekidis, P. G.; Karachalios, N. I.; Diakonos, F. K.; Frantzeskakis, D. J. Stationary states of a nonlinear Schrödinger lattice with a harmonic trap. (English) Zbl 1272.35172 J. Math. Phys. 52, No. 9, 092701, 25 p. (2011). MSC: 35Q55 39A12 78A37 81Q05 35B32 35C08 35B35 81Q10 PDF BibTeX XML Cite \textit{V. Achilleos} et al., J. Math. Phys. 52, No. 9, 092701, 25 p. (2011; Zbl 1272.35172) Full Text: DOI arXiv Link OpenURL
Wang, C.; Kevrekidis, P. G.; Frantzeskakis, D. J.; Malomed, B. A. Effects of long-range nonlinear interactions in double-well potentials. (English) Zbl 1338.37129 Physica D 240, No. 9-10, 805-813 (2011). MSC: 37N20 37K50 78A60 35Q55 82B10 37M05 PDF BibTeX XML Cite \textit{C. Wang} et al., Physica D 240, No. 9--10, 805--813 (2011; Zbl 1338.37129) Full Text: DOI arXiv OpenURL
Tsitsas, N. L.; Horikis, T. P.; Shen, Y.; Kevrekidis, P. G.; Whitaker, N.; Frantzeskakis, D. J. Short pulse equations and localized structures in frequency band gaps of nonlinear metamaterials. (English) Zbl 1248.82051 Phys. Lett., A 374, No. 11-12, 1384-1388 (2010). MSC: 82D20 78A70 78A40 35Q55 35C08 PDF BibTeX XML Cite \textit{N. L. Tsitsas} et al., Phys. Lett., A 374, No. 11--12, 1384--1388 (2010; Zbl 1248.82051) Full Text: DOI arXiv OpenURL
Kevrekidis, Panayotis G. Formation of localized modes in DNLS. (English) Zbl 1181.39009 Kevrekidis, Panayotis G., The discrete nonlinear Schrödinger equation. Mathematical analysis, numerical computations and physical perspectives. Berlin: Springer (ISBN 978-3-540-89198-7/hbk; 978-3-540-89199-4/ebook). Springer Tracts in Modern Physics 232, 235-247 (2009). MSC: 39A12 35Q55 78A50 37K10 PDF BibTeX XML Cite \textit{P. G. Kevrekidis}, Springer Tracts Mod. Phys. 232, 235--247 (2009; Zbl 1181.39009) Full Text: DOI OpenURL
Kevrekidis, Panayotis G. Multicomponent DNLS equations. (English) Zbl 1181.39008 Kevrekidis, Panayotis G., The discrete nonlinear Schrödinger equation. Mathematical analysis, numerical computations and physical perspectives. Berlin: Springer (ISBN 978-3-540-89198-7/hbk; 978-3-540-89199-4/ebook). Springer Tracts in Modern Physics 232, 153-171 (2009). MSC: 39A12 35Q55 78A15 37K10 PDF BibTeX XML Cite \textit{P. G. Kevrekidis}, Springer Tracts Mod. Phys. 232, 153--171 (2009; Zbl 1181.39008) Full Text: DOI OpenURL
Cuevas, J.; Kevrekidis, P. G.; Frantzeskakis, D. J.; Malomed, B. A. Discrete solitons in nonlinear Schrödinger lattices with a power-law nonlinearity. (English) Zbl 1153.82321 Physica D 238, No. 1, 67-76 (2009). MSC: 82C20 35Q55 35Q51 78A60 78A40 PDF BibTeX XML Cite \textit{J. Cuevas} et al., Physica D 238, No. 1, 67--76 (2009; Zbl 1153.82321) Full Text: DOI Link OpenURL
Shi, Z.; Law, K. J. H.; Kevrekidis, P. G.; Malomed, B. A. Trapping of two-component matter-wave solitons by mismatched optical lattices. (English) Zbl 1220.82043 Phys. Lett., A 372, No. 22, 4021-4027 (2008). MSC: 82B26 78A37 35Q53 PDF BibTeX XML Cite \textit{Z. Shi} et al., Phys. Lett., A 372, No. 22, 4021--4027 (2008; Zbl 1220.82043) Full Text: DOI arXiv OpenURL
Susanto, H.; Law, K. J. H.; Kevrekidis, P. G.; Tang, L.; Lou, C.; Wang, X.; Chen, Z. Dipole and quadrupole solitons in optically-induced two-dimensional defocusing photonic lattices. (English) Zbl 1153.82311 Physica D 237, No. 23, 3123-3134 (2008). MSC: 82B20 82D25 78A60 35Q55 35Q51 PDF BibTeX XML Cite \textit{H. Susanto} et al., Physica D 237, No. 23, 3123--3134 (2008; Zbl 1153.82311) Full Text: DOI arXiv OpenURL
Kevrekidis, P. G.; Frantzeskakis, D. J.; Carretero-Gonzáles, R. Manipulations of coherent matter-waves. (English) Zbl 1147.82339 Kevrekidis, Panayotis G. (ed.) et al., Emergent nonlinear phenomena in Bose-Einstein condensates. Theory and experiment. Berlin: Springer (ISBN 978-3-540-73590-8/hbk). Springer Series on Atomic, Optical, and Plasma Physics 45, 331-349 (2008). MSC: 82C10 78A60 35Q51 35Q55 82C20 82C26 PDF BibTeX XML Cite \textit{P. G. Kevrekidis} et al., Springer Ser. At. Opt. Plasma Phys. 45, 331--349 (2008; Zbl 1147.82339) OpenURL
Porter, Mason A.; Kevrekidis, P. G.; Carretero-González, R.; Frantzeskakis, D. J. Dynamics and manipulation of matter-wave solitons in optical superlattices. (English) Zbl 1187.78056 Phys. Lett., A 352, No. 3, 210-215 (2006). MSC: 78A60 PDF BibTeX XML Cite \textit{M. A. Porter} et al., Phys. Lett., A 352, No. 3, 210--215 (2006; Zbl 1187.78056) Full Text: DOI arXiv OpenURL
Kevrekidis, P. G.; Chen, Zhigang; Malomed, B. A.; Frantzeskakis, D. J.; Weinstein, M. I. Spontaneous symmetry breaking in photonic lattices: theory and experiment. (English) Zbl 1145.78310 Phys. Lett., A 340, No. 1-4, 275-280 (2005). MSC: 78A50 81R40 PDF BibTeX XML Cite \textit{P. G. Kevrekidis} et al., Phys. Lett., A 340, No. 1--4, 275--280 (2005; Zbl 1145.78310) Full Text: DOI arXiv OpenURL
Theocharis, G.; Frantzeskakis, D. J.; Kevrekidis, P. G.; Carretero-González, R.; Malomed, B. A. Dark soliton dynamics in spatially inhomogeneous media: application to Bose-Einstein condensates. (English) Zbl 1072.78520 Math. Comput. Simul. 69, No. 5-6, 537-552 (2005). MSC: 78A60 81V80 82C10 PDF BibTeX XML Cite \textit{G. Theocharis} et al., Math. Comput. Simul. 69, No. 5--6, 537--552 (2005; Zbl 1072.78520) Full Text: DOI OpenURL
Kevrekidis, P. G.; Malomed, B. A.; Frantzeskakis, D. J.; Bishop, A. R.; Nistazakis, H. E.; Carretero-González, R. Domain walls of single-component Bose–Einstein condensates in external potentials. (English) Zbl 1071.82007 Math. Comput. Simul. 69, No. 3-4, 334-345 (2005). Reviewer: Vicenţiu D. Rădulescu (Craiova) MSC: 82B10 35K60 35Q51 37K40 78A60 PDF BibTeX XML Cite \textit{P. G. Kevrekidis} et al., Math. Comput. Simul. 69, No. 3--4, 334--345 (2005; Zbl 1071.82007) Full Text: DOI arXiv OpenURL
Agrotis, Maria; Kevrekidis, Panayotis G.; Malomed, Boris A. Transmission of nonlinear localized modes through waveguide bends. (English) Zbl 1068.78511 Math. Comput. Simul. 69, No. 3-4, 223-234 (2005). MSC: 78A60 PDF BibTeX XML Cite \textit{M. Agrotis} et al., Math. Comput. Simul. 69, No. 3--4, 223--234 (2005; Zbl 1068.78511) Full Text: DOI OpenURL
Gaididei, Yu. B.; Christiansen, P. L.; Kevrekidis, P. G.; Büttner, H.; Bishop, A. R. Linear and nonlinear bound states in curved waveguides. (English) Zbl 1099.35526 Abdullaev, Fatkhulla Kh. (ed.) et al., Nonlinear waves: Classical and quantum aspects. Proceedings of the NATO advanced research workshop, Estoril, Portugal, July 13-17, 2003. Dordrecht: Kluwer Academic Publishers (ISBN 1-4020-2189-5/pbk; 1-4020-2188-7/hbk). NATO Science Series II: Mathematics, Physics and Chemistry 153, 107-120 (2004). MSC: 35Q55 78A50 PDF BibTeX XML Cite \textit{Yu. B. Gaididei} et al., NATO Sci. Ser. II, Math. Phys. Chem. 153, 107--120 (2004; Zbl 1099.35526) OpenURL
Papacharalampous, I. E.; Kevrekidis, P. G.; Nistazakis, H. E.; Frantzeskakis, D. J.; Malomed, B. A. Elliptic dark solitons. (English) Zbl 1039.78009 Phys. Scr. 69, No. 1, 7-14 (2004). MSC: 78A60 35Q51 81Q05 PDF BibTeX XML Cite \textit{I. E. Papacharalampous} et al., Phys. Scr. 69, No. 1, 7--14 (2004; Zbl 1039.78009) Full Text: DOI Link OpenURL
Biship, A. R.; Kalosakas, G.; Rasmussen, K. Ø.; Kevrekidis, P. G. Localization in physical systems described by discrete nonlinear Schrödinger-type equations. (English) Zbl 1080.81075 Chaos 13, No. 2, 588-595 (2003). MSC: 81V80 78A60 82B10 PDF BibTeX XML Cite \textit{A. R. Biship} et al., Chaos 13, No. 2, 588--595 (2003; Zbl 1080.81075) Full Text: DOI OpenURL
Kivshar, Yuri S.; Kevrekidis, Panayotis G.; Takeno, Shozo Nonlinear localized modes in waveguide bends. (English) Zbl 1008.78007 Phys. Lett., A 307, No. 5-6, 287-291 (2003). MSC: 78A50 78A60 35Q55 PDF BibTeX XML Cite \textit{Y. S. Kivshar} et al., Phys. Lett., A 307, No. 5--6, 287--291 (2003; Zbl 1008.78007) Full Text: DOI OpenURL
Kevrekidis, Panayotis G.; Malomed, Boris A.; Nistazakis, H. E.; Frantzeskakis, Dimitri J.; Saxena, A.; Bishop, A. R. Scattering of a solitary pulse on a local defect or breather. (English) Zbl 1115.81335 Phys. Scr. 66, No. 3, 193-200 (2002). MSC: 81Q05 81U05 35Q55 78A60 PDF BibTeX XML Cite \textit{P. G. Kevrekidis} et al., Phys. Scr. 66, No. 3, 193--200 (2002; Zbl 1115.81335) Full Text: DOI arXiv OpenURL
Kapitula, Todd; Kevrekidis, Panayotis Stability of waves in discrete systems. (English) Zbl 1001.37080 Nonlinearity 14, No. 3, 533-566 (2001). Reviewer: Jan Cholewa (Katowice) MSC: 37K45 37K10 35R10 39A12 78A60 PDF BibTeX XML Cite \textit{T. Kapitula} and \textit{P. Kevrekidis}, Nonlinearity 14, No. 3, 533--566 (2001; Zbl 1001.37080) Full Text: DOI OpenURL