Publication List

1. Parallel finite-element codes for the Bogoliubov-de Gennes stability analysis of Bose-Einstein condensates.
   G. Sadaka, P. Jolivet, E.G. Charalampidis and I. Danaila.
   (arXiv:2404.00956) (submitted to Computer Physics Communications)


2. Learning Traveling Solitary Waves Using Separable Gaussian Neural Networks.
   S. Xing and E.G. Charalampidis.
   (arXiv:2403.04883) (submitted to Entropy)


3. Self-similar blowup solutions in the generalized Korteweg-de Vries equation: Spectral analysis, normal form and asymptotics.
   S. Jon Chapman, M. Kavousanakis, E.G. Charalampidis, I.G. Kevrekidis and P.G. Kevrekidis.
   (arXiv:2310.13770) (submitted to Nonlinearity)


4. The application of the "inverse problem" method for constructing confining potentials that make $N$-soliton waveforms exact solutions in the Gross–Pitaevskii equation.
   F. Cooper, A. Khare, J. Dawson, E.G. Charalampidis and A. Saxena.
   Chaos, 34, 043138 (2024) article (arXiv)


5. Existence, stability and spatio-temporal dynamics of time-quasiperiodic solutions on a finite background in discrete nonlinear Schrödinger models.
   E.G. Charalampidis, G. James, J. Cuevas-Maraver, D. Hennig, N.I. Karachalios and P.G. Kevrekidis.
   Wave Motion, 128, 103324 (2024) article (arXiv)


6. Discovering Governing Equations in Discrete Systems Using PINNs.
   S. Saqlain, W. Zhu, E.G. Charalampidis and P.G. Kevrekidis.
   Commun. Nonlinear Sci. Numer. Simulat, 126, 107498 (2023) article (arXiv)


7. Uniform-density Bose-Einstein condensates of the Gross-Pitaevskii equation found by solving the inverse problem for the confining potential.
   F. Cooper, A. Khare, J. Dawson, E.G. Charalampidis and A. Saxena.
   Phys. Rev. E, 107, 064202 (2023) article (arXiv)


8. Breathers in lattices with alternating strain-hardening and strain-softening interactions.
   M. Lee, E.G. Charalampidis, S. Xing, C. Chong and P.G. Kevrekidis.
   Phys. Rev. E, 107, 054208 (2023), article (arXiv)


9. The stability of the $b$-family of peakon equations.
   E.G. Charalampidis, R. Parker, P.G. Kevrekidis and S. Lafortune.
   Nonlinearity, 36, 1192 (2023) article (arXiv)


10. Stability of exact solutions of the $(2+1)$-dimensional nonlinear Schrödinger equation with arbitrary nonlinearity parameter $\kappa$.
    F. Cooper, A. Khare, E.G. Charalampidis, J. Dawson and A. Saxena.
    Phys. Scr., 98, 015011 (2022), article (arXiv)


11. A Spectral Analysis of the Nonlinear Schrödinger Equation in the Co-Exploding Frame.
    S. Jon Chapman, M. Kavousanakis, E.G. Charalampidis, I.G. Kevrekidis and P.G. Kevrekidis.
    Physica D, 439, 133396 (2022) article (arXiv)


12. Existence, Stability and Dynamics of Monopole and Alice Ring Solutions in Anti-Ferromagnetic Spinor Condensates.
    Thudiyangal Mithun, R. Carretero-González, E.G. Charalampidis, D.S. Hall and P.G. Kevrekidis.
    Phys. Rev. A, 105, 053303 (2022) article (arXiv)


13. Neural Networks Enforcing Physical Symmetries in Nonlinear Dynamical Lattices: The Case Example of the Ablowitz-Ladik Model.
    W. Zhu, W. Khademi, E.G. Charalampidis and P.G. Kevrekidis.
    Physica D: Nonlinear Phenomena, 434, 133264 (2022), article (arXiv)


14. Wave manipulation using a bistable chain with reversible impurities.
    H. Yasuda, E.G. Charalampidis, P.K. Purohit, P.G. Kevrekidis and J.R. Raney.
    Phys. Rev. E, 104, 054209 (2021), article (arXiv)


15. Stability of trapped solutions of a nonlinear Schrödinger equation with a nonlocal nonlinear self-interaction potential.
    E.G. Charalampidis, F. Cooper, A. Khare, J. Dawson and A. Saxena.
    J. Phys. A: Math. and Theor., 55, 015703 (2021) article (arXiv)


16. Numerical bifurcation and stability for the capillary-gravity Whitham equation.
    E.G. Charalampidis and V.M. Hur.
    Wave Motion, 106, 102793 (2021) article (arXiv)


17. Nonlinear Localized Modes in Two-Dimensional Hexagonally-Packed Magnetic Lattices.
    C. Chong, Y. Wang, D. Maréchal, E.G. Charalampidis, M. Molerón, A.J. Martínez, M.A. Porter, P.G. Kevrekidis and C. Daraio.
    New J. Phys., 23, 043008 (2021) article (arXiv)


18. Behavior of solitary waves of coupled nonlinear Schrödinger equations subjected to complex external periodic potentials with odd-$\mathcal{PT}$ symmetry.
    E.G. Charalampidis, F. Cooper, J. Dawson, A. Khare and A. Saxena.
    J. Phys. A: Math. and Theor., 54, 145701 (2021) article (arXiv)


19. Dark-dark soliton breathing patterns in multi-component Bose-Einstein condensates.
    W. Wang, L.-C. Zhao, E.G. Charalampidis and P.G. Kevrekidis.
    J. Phys. B: At. Mol. Opt. Phys., 54, 055301 (2021) article (arXiv)


20. Kuznetsov-Ma breather-like solutions in the Salerno model.
    J. Sullivan, E.G. Charalampidis, J. Cuevas-Maraver, P.G. Kevrekidis and N.I. Karachalios.
    Eur. Phys. J. Plus, 135, 607 (2020), article (arXiv)


21. Deflation-based Identification of Nonlinear Excitations of the 3D Gross-Pitaevskii equation.
    N. Boullé, E.G. Charalampidis, P.E. Farrell and P.G. Kevrekidis.
    Phys. Rev. A, 102, 053307 (2020) article (arXiv)


22. Stability and response of trapped solitary wave solutions of coupled nonlinear Schrödinger equations in an external, $\mathcal{PT}$- and supersymmetric potential.
    E.G. Charalampidis, J. Dawson, F. Cooper, A. Khare and A. Saxena.
    J. Phys. A: Math. and Theor., 53, 455702 (2020) article (arXiv)


23. Bifurcation analysis of stationary solutions of two-dimensional coupled Gross-Pitaevskii equations using deflated continuation.
    E.G. Charalampidis, N. Boullé, P.G. Kevrekidis and P.E. Farrell.
    Commun. Nonlinear Sci. Numer. Simulat, 87, 105255 (2020) article (arXiv)


24. Breathers and other time-periodic solutions in an array of cantilevers decorated with magnets.
    A. Foehr, E.G. Charalampidis, C. Chong, P.G. Kevrekidis and C. Daraio.
    Math. Engin., 1(3), 489 (2019), article


25. Origami-based impact mitigation via rarefaction solitary wave creation.
    H. Yasuda, Y. Miyazawa, E.G. Charalampidis, C. Chong, P.G. Kevrekidis and J. Yang.
    Sci. Adv., 5, eaau283 (2019), article (arXiv)


26. Phononic Rogue Waves.
    E.G. Charalampidis, J. Lee, P.G. Kevrekidis and C. Chong.
    Phys. Rev. E, 98, 032903 (2018), article (arXiv)


27. Lattices with internal resonator defects.
    S. Hauver, X. He, D. Mei, E.G. Charalampidis, P.G. Kevrekidis, E. Kim, J. Yang and A. Vainchtein.
    Phys. Rev. E, 98, 032902 (2018), article (arXiv)


28. Peregrine solitons and gradient catastrophes in discrete nonlinear Schrödinger systems.
    C. Hoffmann, E.G. Charalampidis, D.J. Frantzeskakis and P.G. Kevrekidis.
    Phys. Lett. A, 382, 3064 (2018), article (arXiv)


29. Computing stationary solutions of the two-dimensional Gross-Pitaevskii equation with deflated continuation.
    E.G. Charalampidis, P.G. Kevrekidis and P.E. Farrell.
    Commun. Nonlinear Sci. Numer. Simulat, 54, 482 (2018) article (arXiv)


30. Rogue waves in ultracold bosonic seas.
    E.G. Charalampidis, J. Cuevas-Maraver, D.J. Frantzeskakis and P.G. Kevrekidis.
    Rom. Rep. Phys., 70, 504 (2018) article (arXiv)


31. Discrete BPS Skyrmions.
    M. Agaoglou, E.G. Charalampidis, T.A. Ioannidou and P.G. Kevrekidis.
    J. Math. Phys., 58, 091501 (2017), article (arXiv)


32. Revisiting Diffusion: Self-similar Solutions and the $t^{-1/2}$ Decay in Initial and Initial-Boundary Value Problems.
    P. G. Kevrekidis, M.O. Williams, D. Mantzavinos, E.G. Charalampidis, M. Choi and I.G. Kevrekidis.
    Quart. Appl. Math., 75, 581 (2017) article (arXiv)


33. SO(2)-induced breathing patterns in multi-component Bose-Einstein condensates.
    E.G. Charalampidis, W. Wang, P.G. Kevrekidis, D.J. Frantzeskakis and J. Cuevas-Maraver.
    Phys. Rev. A, 93, 063623 (2016) article (arXiv)


34. Vortex-soliton complexes in coupled nonlinear Schrödinger equations with unequal dispersion coefficients.
    E.G. Charalampidis, P.G. Kevrekidis, D.J. Frantzeskakis and B.A. Malomed.
    Phys. Rev. E, 94, 022207 (2016) article (arXiv)


35. Nonlinear vibrational-state excitation and piezoelectric energy conversion in harmonically driven granular chains.
    C. Chong, E. Kim, E.G. Charalampidis, H. Kim, F. Li, P.G. Kevrekidis, J. Lydon, C. Daraio and J. Yang.
    Phys. Rev. E, 93, 052203 (2016), article (arXiv)


36. Formation of rarefaction waves in origami-based metamaterials.
    H. Yasuda, C. Chong, E.G. Charalampidis, P.G. Kevrekidis and J. Yang.
    Phys. Rev. E, 93, 043004 (2016), article (arXiv)


37. Wormholes from Chiral Fields.
    E. Charalampidis, T. Ioannidou, B. Kleihaus and J. Kunz.
    J. Phys. Conf. Ser., 574, 012058 (2015), article


38. Time-Periodic Solutions of Driven-Damped Trimer Granular Crystals.
    E.G. Charalampidis, F. Li, C. Chong, J. Yang and P.G. Kevrekidis.
    Math. Prob. in Eng., 2015, 830978 (2015), article (arXiv)


39. Lattice three-dimensional skyrmions revisited.
    E.G. Charalampidis, T.A. Ioannidou and P.G. Kevrekidis.
    Phys. Scr., 90, 025202 (2015), article (arXiv)


40. Dark-bright solitons in coupled nonlinear Schrödinger equations with unequal dispersion coefficients.
    E.G. Charalampidis, P.G. Kevrekidis, D.J. Frantzeskakis and B.A. Malomed.
    Phys. Rev. E, 91, 012924 (2015), article (arXiv)


41. Vector rogue waves and dark-bright boomeronic solitons in autonomous and non-autonomous settings.
    R. Babu Mareeswaran, E.G. Charalampidis, T. Kanna, P.G. Kevrekidis and D.J. Frantzeskakis.
    Phys. Rev. E, 90, 042912 (2014), article (arXiv)


42. Rogue waves in nonlinear Schrödinger models with variable coefficients: Application to Bose-Einstein condensates.
    J.S. He, E.G. Charalampidis, P.G. Kevrekidis and D.J. Frantzeskakis.
    Phys. Lett. A, 378, 577 (2014), article (arXiv)


43. Wormholes threaded by chiral fields.
    E.G. Charalampidis, T.A. Ioannidou, B. Kleihaus and J. Kunz.
    Phys. Rev. D, 87, 084069 (2013), article (arXiv)


44. Skyrmions, rational maps and scaling identities.
    E.G. Charalampidis, T.A. Ioannidou and N.S. Manton.
    J. Math. Phys., 52, 033509 (2011), article (arXiv)