Tsolias, G. A.; Decker, Robert J.; Demirkaya, A.; Alexander, T. J.; Parker, Ross; Kevrekidis, P. G. Kink-antikink interaction forces and bound states in a nonlinear Schrödinger model with quadratic and quartic dispersion. (English) Zbl 1522.35477 Commun. Nonlinear Sci. Numer. Simul. 125, Article ID 107362, 20 p. (2023). MSC: 35Q55 35Q41 35C08 35B32 78A60 PDFBibTeX XMLCite \textit{G. A. Tsolias} et al., Commun. Nonlinear Sci. Numer. Simul. 125, Article ID 107362, 20 p. (2023; Zbl 1522.35477) Full Text: DOI arXiv
Stefanov, Atanas G.; Ross, Ryan M.; Kevrekidis, Panayotis G. Ground states in spatially discrete non-linear Schrödinger models. (English) Zbl 1517.35212 Nonlinearity 36, No. 8, 4053-4085 (2023). MSC: 35Q55 35Q41 78A60 35C08 35B35 39A14 PDFBibTeX XMLCite \textit{A. G. Stefanov} et al., Nonlinearity 36, No. 8, 4053--4085 (2023; Zbl 1517.35212) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{R. M. Ross} et al., Q. Appl. Math. 79, No. 4, 641--665 (2021; Zbl 1479.35820) Full Text: DOI arXiv
Ward, C. B.; Kevrekidis, P. G.; Whitaker, N. Evaluating the robustness of rogue waves under perturbations. (English) Zbl 1511.65097 Phys. Lett., A 383, No. 22, 2584-2588 (2019). Reviewer: Abdallah Bradji (Annaba) MSC: 65M22 65K05 65L06 35B20 35C08 35L67 35Q55 35Q41 86A05 47J26 PDFBibTeX XMLCite \textit{C. B. Ward} et al., Phys. Lett., A 383, No. 22, 2584--2588 (2019; Zbl 1511.65097) Full Text: DOI arXiv
Cuevas-Maraver, J.; Kevrekidis, P. G.; Aceves, A. B.; Saxena, Avadh Solitary waves in a two-dimensional nonlinear Dirac equation: from discrete to continuum. (English) Zbl 1380.81103 J. Phys. A, Math. Theor. 50, No. 49, Article ID 495207, 17 p. (2017). MSC: 81Q05 81R20 35C08 35Q55 35Q51 PDFBibTeX XMLCite \textit{J. Cuevas-Maraver} et al., J. Phys. A, Math. Theor. 50, No. 49, Article ID 495207, 17 p. (2017; Zbl 1380.81103) Full Text: DOI arXiv Link
Kevrekidis, Panayotis G.; Frantzeskakis, Dimitri J.; Carretero-González, Ricardo The defocusing nonlinear Schrödinger equation. From dark solitions to vortices and vortex rings. (English) Zbl 1336.81004 Other Titles in Applied Mathematics 143. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (ISBN 978-1-61197-393-8/pbk; 978-1-61197-394-5/ebook). xi, 429 p. (2015). Reviewer: Santosh Bhattarai (Buffalo) MSC: 81-02 81Q05 81R10 35Q55 81V70 00A79 PDFBibTeX XMLCite \textit{P. G. Kevrekidis} et al., The defocusing nonlinear Schrödinger equation. From dark solitions to vortices and vortex rings. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (2015; Zbl 1336.81004) Full Text: DOI
Cuevas-Maraver, Jesús; Kevrekidis, Panayotis G.; Saxena, Avadh Solitary waves in a discrete nonlinear Dirac equation. (English) Zbl 1309.35101 J. Phys. A, Math. Theor. 48, No. 5, Article ID 055204, 22 p. (2015). MSC: 35Q41 35Q51 37K40 81Q05 PDFBibTeX XMLCite \textit{J. Cuevas-Maraver} et al., J. Phys. A, Math. Theor. 48, No. 5, Article ID 055204, 22 p. (2015; Zbl 1309.35101) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \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
He, J. S.; Charalampidis, E. G.; Kevrekidis, P. G.; Frantzeskakis, D. J. Rogue waves in nonlinear Schrödinger models with variable coefficients: application to Bose-Einstein condensates. (English) Zbl 1331.81100 Phys. Lett., A 378, No. 5-6, 577-583 (2014). MSC: 81Q05 82C10 35Q55 35C08 PDFBibTeX XMLCite \textit{J. S. He} et al., Phys. Lett., A 378, No. 5--6, 577--583 (2014; Zbl 1331.81100) Full Text: DOI arXiv
D’Ambroise, J.; Lepri, S.; Malomed, B. A.; Kevrekidis, P. G. \(\mathcal{PT}\)-symmetric ladders with a scattering core. (English) Zbl 1298.35192 Phys. Lett., A 378, No. 38-39, 2824-2830 (2014). MSC: 35Q55 35B35 81Q05 PDFBibTeX XMLCite \textit{J. D'Ambroise} et al., Phys. Lett., A 378, No. 38--39, 2824--2830 (2014; Zbl 1298.35192) Full Text: DOI arXiv
James, Guillaume; Kevrekidis, Panayotis G.; Cuevas, Jesús Breathers in oscillator chains with Hertzian interactions. (English) Zbl 1278.37053 Physica D 251, 39-59 (2013). MSC: 37K60 35B05 81Q05 PDFBibTeX XMLCite \textit{G. James} et al., Physica D 251, 39--59 (2013; Zbl 1278.37053) Full Text: DOI arXiv
Chong, C.; Carretero-González, R.; Malomed, B. A.; Kevrekidis, P. G. Variational approximations in discrete nonlinear Schrödinger equations with next-nearest-neighbor couplings. (English) Zbl 1218.35222 Physica D 240, No. 14-15, 1205-1212 (2011). MSC: 35Q55 81Q05 37K05 PDFBibTeX XMLCite \textit{C. Chong} et al., Physica D 240, No. 14--15, 1205--1212 (2011; Zbl 1218.35222) Full Text: DOI arXiv
Kevrekidis, Panayotis; Nahmod, Andrea R.; Zeng, Chongchun Radial standing and self-similar waves for the hyperbolic cubic NLS in 2D. (English) Zbl 1216.35142 Nonlinearity 24, No. 5, 1523-1538 (2011). MSC: 35Q55 81Q05 35B35 35D30 PDFBibTeX XMLCite \textit{P. Kevrekidis} et al., Nonlinearity 24, No. 5, 1523--1538 (2011; Zbl 1216.35142) Full Text: DOI arXiv
Law, K. J. H.; Kevrekidis, P. G.; Frantzeskakis, D. J.; Bishop, A. R. Emergence of unstable modes in an expanding domain for energy-conserving wave equations. (English) Zbl 1217.35105 Phys. Lett., A 372, No. 5, 658-664 (2008). MSC: 35K57 35L05 81Q05 35Q55 35B35 70K50 82B26 PDFBibTeX XMLCite \textit{K. J. H. Law} et al., Phys. Lett., A 372, No. 5, 658--664 (2008; Zbl 1217.35105) Full Text: DOI arXiv
Pelinovsky, D. E.; Kevrekidis, P. G. Stability of discrete dark solitons in nonlinear Schrödinger lattices. (English) Zbl 1144.39008 J. Phys. A, Math. Theor. 41, No. 18, Article ID 185206, 10 p. (2008). Reviewer: Martin Rasmussen (London) MSC: 39A11 39A12 34L40 PDFBibTeX XMLCite \textit{D. E. Pelinovsky} and \textit{P. G. Kevrekidis}, J. Phys. A, Math. Theor. 41, No. 18, Article ID 185206, 10 p. (2008; Zbl 1144.39008) Full Text: DOI arXiv
Kevrekidis, P. G.; Khare, Avinash; Saxena, A.; Bena, I.; Bishop, A. R. Asymptotic calculation of discrete non-linear wave interactions. (English) Zbl 1116.65102 Math. Comput. Simul. 74, No. 4-5, 405-413 (2007). MSC: 65M06 35Q55 35Q40 81Q05 81-08 PDFBibTeX XMLCite \textit{P. G. Kevrekidis} et al., Math. Comput. Simul. 74, No. 4--5, 405--413 (2007; Zbl 1116.65102) Full Text: DOI arXiv