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
16 papers · 2 filters
Modulational Instability in Nonlinearity-Managed Optical Media
Martin Centurion, Mason A. Porter, Ye Pu +3
We investigate analytically, numerically, and experimentally the modulational instability in a layered, cubically-nonlinear (Kerr) optical medium that consists of alternating layer…
Lyapunov--Schmidt reduction algorithm for three-dimensional discrete vortices
Mike Lukas, Dmitry Pelinovsky, P. G. Kevrekidis
We address persistence and stability of three-dimensional vortex configurations in the discrete nonlinear Schrödinger (NLS) equation and develop a symbolic package based on Wolfram…
High-Order-Mode Soliton Structures in Two-Dimensional Lattices with Defocusing Nonlinearity
P. G. Kevrekidis, H. Susanto, Z. Chen
While fundamental-mode discrete solitons have been demonstrated with both self-focusing and defocusing nonlinearity, high-order-mode localized states in waveguide lattices have bee…
Comparative Study of Different Discretizations of the Model
Ishani Roy, Sergey V. Dmitriev, Panayotis G. Kevrekidis +1
We examine various recently proposed discretizations of the well-known field theory. We compare and contrast the properties of their fundamental solutions including the natur…
Dark Solitons in Discrete Lattices: Saturable versus Cubic Nonlinearities
E. P. Fitrakis, P. G. Kevrekidis, H. Susanto +1
In the present work, we study dark solitons in dynamical lattices with the saturable nonlinearity and compare them with those in lattices with the cubic nonlinearity. This comparis…
Discrete surface solitons in two dimensions
H. Susanto, P. G. Kevrekidis, B. A. Malomed +2
We investigate fundamental localized modes in 2D lattices with an edge (surface). Interaction with the edge expands the stability area for ordinary solitons, and induces a differen…
Modulational instability in a layered Kerr medium: Theory and Experiment
Martin Centurion, Mason A. Porter, Ye Pu +3
We present the first experimental investigation of modulational instability in a layered Kerr medium. The particularly interesting and appealing feature of our configuration, consi…
Modulated Amplitude Waves in Collisionally Inhomogeneous Bose-Einstein Condensates
Mason A. Porter, P. G. Kevrekidis, Boris A. Malomed +1
We investigate the dynamics of an effectively one-dimensional Bose-Einstein condensate (BEC) with scattering length subjected to a spatially periodic modulation, $a=a(x)=a(x+L)…
Mobility of Discrete Solitons in Quadratically Nonlinear Media
H. Susanto, P. G. Kevrekidis, R. Carretero-Gonzalez +2
We study the mobility of solitons in second-harmonic-generating lattices. Contrary to what is known for their cubic counterparts, discrete quadratic solitons are mobile not only in…
Stability of Discrete Solitons in the Presence of Parametric Driving
H. Susanto, Q. E. Hoq, P. G. Kevrekidis
In this brief report, we consider parametrically driven bright solitons in the vicinity of the anti-continuum limit. We illustrate the mechanism through which these solitons become…
Symmetry Breaking in Symmetric and Asymmetric Double-Well Potentials
G. Theocharis, P. G. Kevrekidis, D. J. Frantzeskakis +1
Motivated by recent experimental studies of matter-waves and optical beams in double well potentials, we study the solutions of the nonlinear Schrödinger equation in such a context…
Nonlinearity Management in Optics: Experiment, Theory, and Simulation
Martin Centurion, Mason A. Porter, P. G. Kevrekidis +1
We conduct an experimental investigation of nonlinearity management in optics using femtosecond pulses and layered Kerr media consisting of glass and air. By examining the propagat…
Exact static solutions for discrete models free of the Peierls-Nabarro barrier: Discretized first integral approach
S. V. Dmitriev, P. G. Kevrekidis, N. Yoshikawa +1
We propose a generalization of the discrete Klein-Gordon models free of the Peierls-Nabarro barrier derived in Nonlinearity {\bf 12}, 1373 (1999) and Phys. Rev. E {\bf 72}, 035602(…
Radiationless Travelling Waves In Saturable Nonlinear Schrödinger Lattices
T. R. O. Melvin, A. R. Champneys, P. G. Kevrekidis +1
The longstanding problem of moving discrete solitary waves in nonlinear Schr{ö}dinger lattices is revisited. The context is photorefractive crystal lattices with saturable nonlinea…
Discrete Nonlinear Schrodinger Equations Free of the Peierls-Nabarro Potential
S. V. Dmitriev, P. G. Kevrekidis, A. A. Sukhorukov +2
We derive a class of discrete nonlinear Schr{ö}dinger (DNLS) equations for general polynomial nonlinearity whose stationary solutions can be found from a reduced two-point algebrai…
Statics and Dynamics of an Inhomogeneously-Nonlinear Lattice
Debra L. Machacek, Elizabeth A. Foreman, Q. E. Hoq +4
We introduce an inhomogeneously-nonlinear Schr{ö}dinger lattice, featuring a defocusing segment, a focusing segment and a transitional interface between the two. We illustrate that…