Panayotis G. Kevrekidis

Orcid: 0000-0002-7714-3689

Affiliations:
  • University of Massachusetts, Amherst, USA


According to our database1, Panayotis G. Kevrekidis authored at least 66 papers between 2003 and 2023.

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Bibliography

2023
Discovering governing equations in discrete systems using PINNs.
Commun. Nonlinear Sci. Numer. Simul., November, 2023

Kink-antikink interaction forces and bound states in a nonlinear Schrödinger model with quadratic and quartic dispersion.
Commun. Nonlinear Sci. Numer. Simul., October, 2023

Efficient manipulation of Bose-Einstein Condensates in a double-well potential.
Commun. Nonlinear Sci. Numer. Simul., July, 2023

Equation-Free Computations as DDDAS Protocols for Bifurcation Studies: A Granular Chain Example.
CoRR, 2023

2022
Two-Component 3D Atomic Bose-Einstein Condensates Support Complex Stable Patterns.
CoRR, 2022

A Modified PINN Approach for Identifiable Compartmental Models in Epidemiology with Applications to COVID-19.
CoRR, 2022

Moving discrete breathers in a β-FPU lattice revisited.
Commun. Nonlinear Sci. Numer. Simul., 2022

Kink-antikink stripe interactions in the two-dimensional sine-Gordon equation.
Commun. Nonlinear Sci. Numer. Simul., 2022

2021
Exploring critical points of energy landscapes: From low-dimensional examples to phase field crystal PDEs.
Commun. Nonlinear Sci. Numer. Simul., 2021

Breather stripes and radial breathers of the two-dimensional sine-Gordon equation.
Commun. Nonlinear Sci. Numer. Simul., 2021

Kink dynamics in a nonlinear beam model.
Commun. Nonlinear Sci. Numer. Simul., 2021

Kink-antikink collisions and multi-bounce resonance windows in higher-order field theories.
Commun. Nonlinear Sci. Numer. Simul., 2021

On some configurations of oppositely charged trapped vortices in the plane.
Adv. Appl. Math., 2021

2020
Toroidal Vortex Filament Knots and Links: Existence, Stability and Dynamics.
SIAM J. Appl. Dyn. Syst., 2020

Deflation-based Identification of Nonlinear Excitations of the 3D Gross-Pitaevskii equation.
CoRR, 2020

Stability of traveling waves in a driven Frenkel-Kontorova model.
Commun. Nonlinear Sci. Numer. Simul., 2020

Stability analysis of ground states in a one-dimensional trapped spin-1 Bose gas.
Commun. Nonlinear Sci. Numer. Simul., 2020

Extreme wave events for a nonlinear Schrödinger equation with linear damping and Gaussian driving.
Commun. Nonlinear Sci. Numer. Simul., 2020

Bifurcation analysis of stationary solutions of two-dimensional coupled Gross-Pitaevskii equations using deflated continuation.
Commun. Nonlinear Sci. Numer. Simul., 2020

2019
A numerical bifurcation analysis of a dryland vegetation model.
Commun. Nonlinear Sci. Numer. Simul., 2019

Dynamics and stabilization of bright soliton stripes in the hyperbolic-dispersion nonlinear Schrödinger equation.
Commun. Nonlinear Sci. Numer. Simul., 2019

2018
Resonant interaction of <i>ϕ</i><sup>4</sup> kink with PT-symmetric perturbation with spatially periodic gain/loss coefficient.
Commun. Nonlinear Sci. Numer. Simul., 2018

Computing stationary solutions of the two-dimensional Gross-Pitaevskii equation with deflated continuation.
Commun. Nonlinear Sci. Numer. Simul., 2018

2016
A PT -Symmetric Dual-Core System with the Sine-Gordon Nonlinearity and Derivative Coupling.
Symmetry, 2016

Weakly Nonlinear Analysis of Vortex Formation in a Dissipative Variant of the Gross-Pitaevskii Equation.
SIAM J. Appl. Dyn. Syst., 2016

Intrinsic localized modes in coupled DNLS equations from the anti-continuum limit.
Math. Comput. Simul., 2016

2015
Dynamics of Vortex Dipoles in Anisotropic Bose-Einstein Condensates.
SIAM J. Appl. Dyn. Syst., 2015

Kink scattering from a parity-time-symmetric defect in the <i>ϕ</i><sup>4</sup> model.
Commun. Nonlinear Sci. Numer. Simul., 2015

The Defocusing Nonlinear Schrödinger Equation - From Dark Solitons to Vortices and Vortex Rings.
SIAM, ISBN: 978-1-611-97393-8, 2015

2013
The Krein Matrix: General Theory and Concrete Applications in Atomic Bose-Einstein Condensates.
SIAM J. Appl. Math., 2013

Nonlinear Stationary States in PT-Symmetric Lattices.
SIAM J. Appl. Dyn. Syst., 2013

Erratum to: Breathers for the Discrete Nonlinear Schrödinger Equation with Nonlinear Hopping.
J. Nonlinear Sci., 2013

Breathers for the Discrete Nonlinear Schrödinger Equation with Nonlinear Hopping.
J. Nonlinear Sci., 2013

Equation-Free Computations as DDDAS Protocols in the Study of Engineered Granular Crystals.
Proceedings of the International Conference on Computational Science, 2013

2012
Existence, stability, and scattering of bright vortices in the cubic-quintic nonlinear Schrödinger equation.
Math. Comput. Simul., 2012

Excited Bose-Einstein condensates: Quadrupole oscillations and dark solitons.
Math. Comput. Simul., 2012

Dynamics of Phase Transitions in a Piecewise Linear Diatomic Chain.
J. Nonlinear Sci., 2012

On the Existence of Solitary Traveling Waves for Generalized Hertzian Chains.
J. Nonlinear Sci., 2012

2011
Symmetry breaking, coupling management, and localized modes in dual-core discrete nonlinear-Schrödinger lattices.
J. Comput. Appl. Math., 2011

Multibreather and Vortex Breather stability in Klein-Gordon Lattices: Equivalence between Two Different Approaches.
Int. J. Bifurc. Chaos, 2011

2010
Interaction of Excited States in Two-Species Bose-Einstein Condensates: A Case Study.
SIAM J. Appl. Dyn. Syst., 2010

2009
Asymptotic Stability of Small Bound States in the Discrete Nonlinear Schrödinger Equation.
SIAM J. Math. Anal., 2009

Soliton dynamics in linearly coupled discrete nonlinear Schrödinger equations.
Math. Comput. Simul., 2009

Bubble interactions for the Mullins-Sekerka problem: Some case examples.
Math. Comput. Simul., 2009

Extended nonlinear waves in multidimensional dynamical lattices.
Math. Comput. Simul., 2009

Thresholds for soliton creation in the Ablowitz-Ladik lattice.
Math. Comput. Simul., 2009

2008
Symmetry-Breaking Bifurcation in Nonlinear Schrödinger/Gross-Pitaevskii Equations.
SIAM J. Math. Anal., 2008

2007
Deciding the Nature of the Coarse Equation through Microscopic Simulations: The Baby-Bathwater Scheme.
SIAM Rev., 2007

Nonlinear dispersion relations.
Math. Comput. Simul., 2007

Asymptotic calculation of discrete non-linear wave interactions.
Math. Comput. Simul., 2007

On a class of spatial discretizations of equations of the nonlinear Schrödinger type.
Math. Comput. Simul., 2007

Nonlinearity from linearity: The Ermakov-Pinney equation revisited.
Math. Comput. Simul., 2007

Averaging for some periodic and random nonlinear Schrödinger models.
Math. Comput. Simul., 2007

Soliton trains and vortex streets as a form of Cerenkov radiation in trapped Bose-Einstein condensates.
Math. Comput. Simul., 2007

A hybrid model for tumor-induced angiogenesis in the cornea in the presence of inhibitors.
Math. Comput. Model., 2007

2006
Three Is a Crowd: Solitary Waves in Photorefractive Media with Three Potential Wells.
SIAM J. Appl. Dyn. Syst., 2006

2005
Bose-Einstein Condensates in Superlattices.
SIAM J. Appl. Dyn. Syst., 2005

On the collapse arresting effects of discreteness.
Math. Comput. Simul., 2005

Dark soliton dynamics in spatially inhomogeneous media: Application to Bose-Einstein condensates.
Math. Comput. Simul., 2005

Domain-wall crosses and propellers in binary Bose-Einstein condensates.
Math. Comput. Simul., 2005

Domain walls of single-component Bose-Einstein condensates in external potentials.
Math. Comput. Simul., 2005

Transmission of nonlinear localized modes through waveguide bends.
Math. Comput. Simul., 2005

Towards a reduced model for angiogenesis: A hybrid approach.
Math. Comput. Model., 2005

Equation-Free, Effective Computation for Discrete Systems: a Time stepper Based Approach.
Int. J. Bifurc. Chaos, 2005

2003
Breathers on a background: periodic and quasiperiodic solutions of extended discrete nonlinear wave systems.
Math. Comput. Simul., 2003

Compactons in discrete nonlinear Klein-Gordon models.
Math. Comput. Simul., 2003


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