Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Centre National de la Recherche ScientifiqueFR2.1k papers
- University of EdinburghGB1.7k papers
- Commissariat à l'Énergie Atomique et aux Énergies AlternativesFR1.7k papers
- University of California, Santa CruzUS1.7k papers
- University of Wisconsin–MadisonUS1.6k papers
- Yale UniversityUS1.5k papers
- Rutherford Appleton LaboratoryGB1.5k papers
- The Ohio State UniversityUS1.5k papers
- University of PisaIT1.5k papers
- University of California, BerkeleyUS1.5k papers
- Iowa State UniversityUS1.5k papers
- Institut National de Physique Nucléaire et de Physique des ParticulesFR1.5k papers
291 papers · 1 filter
Formation of mechanical rogue waves
Yasuhiro Miyazawa, Christopher Chong, Panayotis G. Kevrekidis +1
Rogue waves, characterized by their abrupt and extreme localization in space and time, have evolved from maritime folklore to subjects of intense study across diverse fields, from…
Parametric Resonance in the Non-Autonomous Sine-Gordon Model
Tomasz Dobrowolski, Jacek Gatlik, Zofia Bryłowska +1
The sine-Gordon model is studied with model parameters that depend on both space and time. An effective model with one degree of freedom is constructed, allowing the description of…
Kink Dynamics in a Non-Autonomous Sine-Gordon Model
Tomasz Dobrowolski, Jacek Gatlik, Zofia Bryłowska +1
The sine-Gordon model with space- and time-dependent parameters is considered. A highly accurate effective model with two degrees of freedom is constructed, allowing the descriptio…
On the Fractional Dynamics of Kinks in sine-Gordon Models
T. Bountis, J. Cantisán, J. Cuevas-Maraver +2
In the present work we explore the dynamics of single kinks, kink-anti-kink pairs and bound states in the prototypical fractional Klein-Gordon example of the sine-Gordon equation.…
Kink movement on a periodic background
Tomasz Dobrowolski, Jacek Gatlik, Panayotis G. Kevrekidis
The behavior of the kink in the sine-Gordon (sG) model in the presence of periodic inhomogeneity is studied. An ansatz is proposed that allows for the construction of a reliable ef…
Stability and dynamics of massive vortices in two-component Bose-Einstein condensates
J. D'Ambroise, W. Wang, C. Ticknor +2
The study of structures involving vortices in one component and bright solitary waves in another has a time-honored history in two-component atomic Bose-Einstein condensates. In th…
Stability and dynamics of nonlinear excitations in a two-dimensional droplet-bearing environment
G. Bougas, G. C. Katsimiga, P. G. Kevrekidis +1
We unravel stationary states in the form of dark soliton stripes, bubbles, and kinks embedded in a two-dimensional droplet-bearing setting emulated by an extended Gross-Pitaevskii…
Hydrodynamics of a Discrete Conservation Law
Patrick Sprenger, Christopher Chong, Emmanuel Okyere +3
The Riemann problem for the discrete conservation law is classified using Whitham modulation theory, a quasi-continuum approximation, and…
Dispersive shock waves in a one-dimensional droplet-bearing environment
Sathyanarayanan Chandramouli, Simeon I. Mistakidis, Garyfallia C. Katsimiga +1
We demonstrate the controllable generation of distinct types of dispersive shock-waves emerging in a quantum droplet bearing environment with the aid of step-like initial condition…
A Nonlinear Journey from Structural Phase Transitions to Quantum Annealing
Mithun Thudiyangal, Panayotis G. Kevrekidis, Avadh Saxena +1
Motivated by an exact mapping between equilibrium properties of a 1-dimensional chain of quantum Ising spins in a transverse field (the transverse field Ising (TFI) model) and a 2-…
Integrable Approximations of Dispersive Shock Waves of the Granular Chain
C. Chong, A. Geisler, P. G. Kevrekidis +1
In the present work we revisit the shock wave dynamics in a granular chain with precompression. By approximating the model by an -Fermi-Pasta-Ulam-Tsingou chain, we leverage the…
Skin modes in a nonlinear Hatano-Nelson model
Bertin Many Manda, Ricardo Carretero-González, Panayotis G. Kevrekidis +1
Non-Hermitian lattices with non-reciprocal couplings under open boundary conditions are known to possess linear modes exponentially localized on one edge of the chain. This phenome…
An effective description of the impact of inhomogeneities on the movement of the kink front in 2+1 dimensions
Jacek Gatlik, Tomasz Dobrowolski, Panayotis G. Kevrekidis
In the present work we explore the interaction of a one-dimensional kink-like front of the sine-Gordon equation moving in 2-dimensional spatial domains. We develop an effective equ…
Standing and Traveling Waves in a Nonlinearly Dispersive Lattice Model
Ross Parker, Pierre Germain, Jesús Cuevas-Maraver +2
In the work of Colliander et al. (2010), a minimal lattice model was constructed describing the transfer of energy to high frequencies in the defocusing nonlinear Schrödinger equat…
Kink-inhomogeneity interaction in the sine-Gordon model
Jacek Gatlik, Tomasz Dobrowolski, Panayotis G. Kevrekidis
In the present study the interaction of a sine-Gordon kink with a localized inhomogeneity is considered. In the absence of dissipation, the inhomogeneity considered is found to imp…
Experimental realization of the Peregrine soliton in repulsive two-component Bose-Einstein condensates
A. Romero-Ros, G. C. Katsimiga, S. I. Mistakidis +5
We experimentally realize the Peregrine soliton in a highly particle-imbalanced two-component repulsive Bose-Einstein condensate in the immiscible regime. The effective focusing dy…
Solitary waves in a quantum droplet-bearing system
G. C. Katsimiga, S. I. Mistakidis, G. N. Koutsokostas +3
We unravel the existence and stability properties of dark soliton solutions as they extend from the regime of trapped quantum droplets towards the Thomas-Fermi limit in homonuclear…
Standing and Traveling Waves in a Model of Periodically Modulated One-dimensional Waveguide Arrays
Ross Parker, Jesús Cuevas-Maraver, P. G. Kevrekidis +1
In the present work, we study coherent structures in a one-dimensional discrete nonlinear Schrödinger lattice in which the coupling between waveguides is periodically modulated. Nu…
Periodic traveling waves in the ϕ^4 model: Instability, stability and localized structures
Meng-Meng Liu, Wen-Rong Sun, Lei Liu +2
We consider the instability and stability of periodic stationary solutions to the classical ϕ^4 equation numerically. In the superluminal regime, the model possesses dnoidal and cn…
Kink-Antikink Interaction Forces and Bound States in a nonlinear Schr{ö}dinger Model with Quadratic and Quartic dispersion
G. A. Tsolias, Robert J. Decker, A. Demirkaya +3
In the present work we explore the competition of quadratic and quartic dispersion in producing kink-like solitary waves in a model of the nonlinear Schr{ö}dinger type bearing cubi…
Dirac Solitons and Topological Edge States in the -Fermi-Pasta-Ulam-Tsingou dimer lattice
Rajesh Chaunsali, Panayotis G. Kevrekidis, Dimitri Frantzeskakis +1
We consider a dimer lattice of the Fermi-Pasta-Ulam-Tsingou (FPUT) type, where alternating linear couplings have a controllably small difference, and the cubic nonlinearity (-FP…
Breathers in lattices with alternating strain-hardening and strain-softening interactions
Marisa M. Lee, Efstathios G. Charalampidis, Siyuan Xing +2
This work focuses on the study of time-periodic solutions, including breathers, in a nonlinear lattice consisting of elements whose contacts alternate between strain-hardening and…
How close Are Integrable and Non-integrable Models: A Parametric Case Study Based on the Salerno Model
Thudiyangal Mithun, Aleksandra Maluckov, Ana Mančić +2
In the present work we revisit the Salerno model as a prototypical system that interpolates between a well-known integrable system (the Ablowitz-Ladik lattice) and an experimentall…
Dragging A Defect in a Droplet Bose-Einstein Condensate
S. Saqlain, Thudiyangal Mithun, R. Carretero-González +1
In the present work we consider models of quantum droplets in the presence of a defect in the form of a laser beam moving through the respective condensates including the Lee-Huang…