Title

Year

Coauthors

Conference

Lecture

Existence of breathers (modulating pulses) in periodic systems via spatial dynamics

2024

C. Chong, T. Dohnal, G. Schneider



Domain walls with and without external potentials

2023

A. Contreras, M. Plum, V. Slastikov



Instability of peaked traveling waves in the Camassa–Holm models

2023

A. Geyer, F. Natali, S. Lafortune



Solitons and breathers on the periodic wave background

2023

M. Hoefer, A. Mucalica



Dynamics of shocks in the modular Burgers equation

2023

P. Poullet, B. de Rijk



Rogue waves arising on the periodic waves of the Ablowitz–Ladik equation

2023

J. Chen



Justification of the KdV, KPII, and Toda equations
from the FermiPastaUlam particle system

2023

G. Schneider



Solitary waves under intensitydependent dispersion

2022

M. Plum, P. Kevrekidis, R. Ross



Periodic waves in discrete MKDV equation:
modulational instability and rogue waves

2022

J. Chen



Periodic and double periodic waves in NLS: existence and stability

2022

J. Chen



Justification of the KPII approximation in dynamics of
twodimensional FPU systems

2022

N. Hristov, G. Schneider



Exponentially small splitting for heteroclinic and
homoclinic orbits in lattice equations

2022

G. Alfimov



Stability of smooth travelling waves and instability of peaked travelling waves in the Camassa–Holm models

2022

A. Geyer, F. Natali, S. Lafortune



Domain walls in harmonic potentials

2022

A. Contreras, V. Slastikov



Stability of smooth and peaked periodic waves in the CamassaHolm equation

2021

A. Geyer, F. Natali



Ground states of the energy supercritical
GrossPitaevskii equation with harmonic potential

2021

Piotr Bizon, Szymon Sobieszek



Variational characterization of periodic waves in
the fractional KdV equation

2021

U. Le, F. Natali



Solitary waves under intensitydependent dispersion

2021

P. Kevrekidis, R. Ross



Instability of breathers and double periodic waves in NLS

2021

M. Haragus



Rogue waves on the background of periodic solutions of the DNLS equation

2021

J. Chen, J. Upsal



Existence and stability of KleinGordon breathers in the smallamplitude limit

2021

J. Cuevas, P. Kevrekidis, T. Penati, S. Paleari



Standing waves on quantum graphs: variational methods and the period function

2020

A. Kairzhan, R. Marangell, D. Noja



Periodic waves in integrable equations: modulation instability and rogue waves

2020

J. Chen, R. White



Instability of peaked waves in the CamassaHolm equation

2020

F. Natali, A. Madiyeva



"Periodic waves in the fractional KdV equation"

2019

F. Natali, U.Le



"Instability of peaked waves"

2019

A. Geyer, F. Natali



"Rogue waves on the periodic and doubleperiodic background"

2019

J. Chen, R. White



"Drift and instability of steady states"

2019

A. Kairzhan, R. Goodman



"Stationary states on metric graphs in the limit of large mass"

2018

G. Berkolaiko, J. Marzuola



"Integrable semidiscretizations of integrable PDEs"

2018

N. Joshi



"Krein signature in PTsymmetric systems"

2018

A. Chernyavsky



"Instability of peaked periodic waves in reduced Ostrovsky equations"

2018

A. Geyer



"Rogue waves on the periodic background"

2018

J. Chen



"Bifurcations of selfsimilar solutions for reversing interface"

2018

J. Foster



"Stability of domain walls in coupled systems"

2017

S. Alama, L. Bronsard, A. Contreras, M. Plum



"Ground state of the conformal flow on threesphere"

2017

P. Bizon



"Inverse scattering for the massive Thirring model"

2017

A. Saalmann, Y. Shimabukuro



"Nonlinear instability of halfsolitons on star graphs"

2017

A. Kairzhan



"Bifurcations of multivortex configurations in rotating BECs"

2017

C. GarciaAzpeitia



"Stability of nonlinear waves in integrable Hamiltonian PDEs"

2017




"Transverse stability of periodic waves in KPII"

2017

M. Haragus



"Spectral stability of periodic waves in reduced Ostrovsky equations"

2017

E.Johnson, A. Geyer



"Logarithmic KortewegDe Vries equation"

2017




"Selfsimilar solutions for reversing interface in the slow diffusion equation"

2016

J. Foster



"Stability of breathers in nonlinear lattices"

2016

J. Cuevas and P. Kevrekidis



"Nonlinear Schrodinger equation on the periodic graph"

2016

G. Schneider



"Ground states on the bounded and unbounded graphs"

2016

J. Marzuola



"Hamiltonian PTsymmetric chains of coupled pendula"

2016

A. Chernyavsky



"Wellposedness and stability in integrable systems"

2015

Y. Shimabukuro



"Heteroclinic orbits for travelling kinks in difference and nonlocal wave equations"

2015

G.L. Alfimov



"Approximations of dynamics of nonlinear lattices on the extended time scale"

2015

A. Khan, T. Penati, S. Paleari



"Global solutions and wave breaking in the reduced Ostrovsky equation"

2015

R. Grimshaw



"Existence and stability of standing waves of the NLS equation on the tadpole graph"

2015

D. Noja, G. Shaikhova



"Stability of Dirac solitons"

2015

Y. Shimabukuro



"Stability of periodic waves and black solitons in the cubic defocusing NLS equation"

2014

Th. Gallay



"Nonlinear dynamics in PTsymmetric lattices"

2014

P. Kevrekidis V. Konotop I. Barashenkov



"ThomasFermi ground state in a PTsymmetric confining potential"

2014

C. Gallo



"Justification of the logKdV equation for granular chains"

2014

E. Dumas



"Orbital stability of Gaussian solitons in the logKdV equation"

2014

R. Carles



"Orbital stability of Dirac (MTM) solitons"

2013

Y. Shimabukuro



"Validity of the weakly nonlinear solution for the BoussinesqOstrovsky equation"

2013

K. Khusnutdinova



"Gaussian solitary waves in granular crystals"

2013

G. James



"Bifurcations and resonance of breathers in the discrete KleinGordon equation"

2013

A.Sakovich



"Spectral stability of nonlinear waves in KdV equations"

2013




"Nonlinear states in PTsymmetric lattices"

2013

P. Kevrekidis



"On transverse stability of discrete solitons"

2012

J. Yang



"Periodic travelling waves in diatomic granular chains"

2012

M. Betti



"Variational approximations in discrete
nonlinear Schrodinger equations"

2012

C. Chong



"Bifurcations of asymmetric vortices in symmetric harmonic potentials"

2012

P.G. Kevrekidis



"Enstrophy growth in the viscous Burgers equation"

2012




"Justification of the shortpulse equation"

2011

G. Schneider



"Nonlinear Dirac equations in one spatial dimension"

2011

A. Stefanov



"Polychromatic solitary waves in the periodic nonlinear Maxwell equations"

2011

G. Simpson, M. Weinstein



"Propagation failure in the discrete Nagumo equation"

2011

H.J. Hupkes, B. Sandstede



"Multisite breathers in KleinGordon lattices:
bifurcations, stability, and resonances"

2011

A.Sakovich



"Internal modes of discrete solitons near the
anticontinuum limit of the dNLS equation"

2011

A.Sakovich



"Backlund transformation and L2stability of NLS solitons"

2011

T. Mizumachi



"Wave breaking in the OstrovskyHunter equation"

2010

Y. Liu
A. Sakovich



"Vortices in a harmonic potential"

2010

P. Kevrekidis



"Excited states in a harmonic potential"

2010

P. Kevrekidis



"Symmetrybreaking bifurcations in a doublewell potential"

2010

E. Kirr, P. Kevrekidis



"Global wellposedness and wave breaking in the shortpulse equation"

2010

Y. Liu
A. Sakovich



"Breathers from infinity in the anticontinuum limit"

2009

G. James



"Justification of the DNLS equation for signvarying nonlinearities"

2009

J. BelmonteBeitia



"Ground states in a harmonic potential"

2009

C. Gallo



"Asymptotic stability of discrete solitons"

2009

A. Stefanov



"Spectrum of an advectiondiffusion operator"

2008

M.Chugunova



"Localized modes in NLS lattices"

2008

P. Panayotaros, A. Stefanov



"Eigenvalues of nonlinear ground state in the ThomasFermi approximation"

2008

C. Gallo



"Justification of tightbinding approximation
in nonlinear Schrodinger lattices"

2008

R. MacKay G. Schneider



"Localized traveling waves in nonlinear Schrodinger lattices"

2007

T. Melvin A. Champneys



"Hamiltonian lattice for nonlinear waves with parabolic potentials"

2007

P. Kevrekidis



"Coupledmode equations and gap solitons in two dimensions"

2007

T. Dohnal, G. Schneider



"Moving gap solitons in periodic potentials"

2007

G. Schneider



"Justification of coupledmode equations for gap solitons"

2007

G. Schneider



"Dark solitons in external potentials"

2007

P. Kevrekidis



"Stability of incompressible viscous fluid flows in a spherical shell"

2007

R. Ibragimov



"Translationally invariant discrete NLS equation"

2006




"Transverse instabilities of deepwater solitary waves"

2006

B. Deconinck



"Multicomponent vortices in coupled NLS equations"

2006

A. Desyatnikov



"Twopulse solutions in fifthorder KdV equation"

2006

M. Chugunova



"Nonlinearity management in timeperiodic NLS systems"

2006

P. Kevrekidis, V. Zharnitsky



"Moving kink in discrete phi4 models"

2005

O. Oxtoby, I. Barashenkov



"Photonic crystals, coupledmode equations and gap solitons"

2005

D. Agueev
M. Chugunova



"Existence and stability of dark solitons in external potentials"

2005

D. Franzeskakis



"Persistence and stability of discrete vortices in NLS lattices"

2005

P. Kevrekidis



"Spectrum of
the linearized NLS problem"

2005

S. Cuccagna, V. Vougalter



"Evans function for
Lax operators with algebraic potentials"

2005

M. Klaus



"Iteration method for
nonlinear wave equations"

2004

Yu. Stepanyants



"Solitons and vortices in discrete NLS equations"

2004

P. Kevrekidis



"Spectrum of embedded solitons
in the thirdorder NLS equation"

2004

J. Yang



"Bifurcations of travelling wave
solutions in discrete NLS equations"

2004

V. Rothos



"Spectral stability
of KdV solitons"

2004

Yu. Kodama



"Bifurcations of gap solitons
in periodic potentials"

2003

A. Sukhorukov, Yu. Kivshar



"Parametric resonance and radiative
decay of dispersionmanaged solitons"

2003

V. Zharnitsky, J. Yang


