2.6k citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- V. Konotop2 profiles96 · h 53
- Rui Santos55 · h 38
- P. Ferreira3 profiles39 · h 27
- M. M. Telo da Gama2 profiles33 · h 25
- Y. Kartashov28 · h 54
- D. Zezyulin26 · h 23
- N. Araújo2 profiles22 · h 21
- M. Mühlleitner16 · h 52
- J. M. Tavares14 · h 23
- L. Torner13 · h 65
- M. Tasinkevych2 profiles13 · h 28
- J. P. Silva2 profiles12 · h 30
- University of LisbonPT321 papers
- Instituto Politécnico de LisboaPT99 papers
- Institute of Photonic SciencesES24 papers
- Universidade Federal do CearáBR23 papers
- University of MinhoPT22 papers
- Universitat Politècnica de CatalunyaES21 papers
- ETH ZurichCH20 papers
- Institute of SpectroscopyRU19 papers
- Instituto Superior TécnicoPT19 papers
- Centre National de la Recherche ScientifiqueFR17 papers
- Karlsruhe Institute of TechnologyDE17 papers
- University of AveiroPT16 papers
29 papers · 1 filter
Perfectly absorbed and emitted currents by complex potentials in nonlinear media
Dmitry A. Zezyulin, Vladimir V. Konotop
Recently it was demonstrated that the concept of a spectral singularity (SS) can be generalized to waves propagating in nonlinear media, like matter waves or electromagnetic waves…
Nonlinear Thouless pumping: solitons and transport breakdown
Qidong Fu, Peng Wang, Yaroslav V. Kartashov +2
One-dimensional topological pumping of matter waves in two overlaid optical lattices moving with respect to each other is considered in the presence of attractive nonlinearity. It…
Topological dipole Floquet solitons
Sergey K. Ivanov, Yaroslav V. Kartashov, Matthias Heinrich +3
We theoretically introduce a new type of topological dipole solitons propagating in a Floquet topological insulator based on a kagome array of helical waveguides. Such solitons bif…
Asymmetric perfect absorption and lasing of nonlinear waves by a complex -potential
Dmitry A. Zezyulin, Vladimir V. Konotop
Spectral singularities and the coherent perfect absorption are two interrelated concepts that have originally been introduced and studied for linear waves interacting with complex…
Nonlinearity-induced localization in a periodically-driven semi-discrete system
R. Driben, V. V. Konotop, B. A. Malomed +2
We demonstrate that nonlinearity plays a constructive role in supporting the robustness of dynamical localization in a model which is discrete, in one dimension and continuous in t…
Exact solutions to three-dimensional generalized nonlinear Schrodinger equations with varying potential and nonlinearities
Zhenya Yan, V. V. Konotop
It is shown that using the similarity transformations, a set of three-dimensional p-q nonlinear Schrodinger (NLS) equations with inhomogeneous coefficients can be reduced to one-di…
Oscillatory instabilities of gap solitons in a repulsive Bose-Einstein condensate
Pavel P. Kizin, Dmitry A. Zezyulin, Georgy L. Alfimov
The paper is devoted to numerical study of stability of nonlinear localized modes ("gap solitons") for the spatially one-dimensional Gross-Pitaevskii equation (1D GPE) with periodi…
Nonlinear waves in -symmetric systems
Vladimir V. Konotop, Jianke Yang, Dmitry A. Zezyulin
Recent progress on nonlinear properties of parity-time (-) symmetric systems is comprehensively reviewed in this article. symmetry started out in non-Hermitian q…
Dynamics of dipoles and vortices in nonlinearly-coupled three-dimensional harmonic oscillators
R. Driben, V. V. Konotop, B. A. Malomed +1
The dynamics of a pair of three-dimensional matter-wave harmonic oscillators (HOs) coupled by a repulsive cubic nonlinearity is investigated through direct simulations of the respe…
Exactly solvable Wadati potentials in the PT-symmetric Gross-Pitaevskii equation
I. V. Barashenkov, D. A. Zezyulin, V. V. Konotop
This note examines Gross-Pitaevskii equations with PT-symmetric potentials of the Wadati type: . We formulate a recipe for the construction of Wadati potentials suppor…
Localised nonlinear modes in the PT-symmetric double-delta well Gross-Pitaevskii equation
I. V. Barashenkov, D. A. Zezyulin
We construct exact localised solutions of the PT-symmetric Gross-Pitaevskii equation with an attractive cubic nonlinearity. The trapping potential has the form of two -function…
Solitons in a nonlinear Schrodinger equation with PT-symmetric potentials and inhomogeneous nonlinearity: stability and excitation of nonlinear modes
Zhenya Yan, Zichao Wen, Vladimir V. Konotop
We report branches of explicit expressions for nonlinear modes in parity-time (PT) symmetric potentials of several types. For the single-well and double-well potentials the found s…
Small-amplitude nonlinear modes under the combined effect of the parabolic potential, nonlocality and symmetry
Dmitry A. Zezyulin, Vladimir V. Konotop
We consider nonlinear modes of the nonlinear Schrödinger equation with a nonlocal nonlinearity and an additional PT-symmetric parabolic potential. We show that there exists a set o…
Solitons in -symmetric periodic systems with the quadratic nonlinearity
F. C. Moreira, V. V Konotop, B. A. Malomed
We introduce a one-dimensional system combining the -symmetric complex periodic potential and the (second-harmonic-generating) nonlinearity. The imaginary p…
Localized modes in media with $\PT$-symmetric localized potential
F. C. Moreira, F. Kh. Abdullaev, V. V. Konotop +1
We study the existence and stability of solitons in the quadratic nonlinear media with spatially localized -symmetric modulation of the linear refractive index. Families…
Stationary modes and integrals of motion in nonlinear lattices with PT-symmetric linear part
Dmitry A. Zezyulin, Vladimir V. Konotop
We consider finite-dimensional nonlinear systems with linear part described by a parity-time (PT-) symmetric operator. We investigate bifurcations of stationary nonlinear modes fro…
Nonlinear modes in finite-dimensional PT-symmetric systems
D. A. Zezyulin, V. V. Konotop
By rearrangements of waveguide arrays with gain and losses one can simulate transformations among parity-time (PT-) symmetric systems not affecting their pure real linear spectra.…
Nonlinear modes in the harmonic PT-symmetric potential
Dmitry A. Zezyulin, Vladimir V. Konotop
We study the families of nonlinear modes described by the nonlinear Schrödinger equation with the PT-symmetric harmonic potential . The found nonlinear modes display a nu…
Macroscopic Zeno effect and stationary flows in nonlinear waveguides with localized dissipation
D. A. Zezyulin, V. V. Konotop, G. Barontini +1
We theoretically demonstrate the possibility to observe the macroscopic Zeno effect for nonlinear waveguides with a localized dissipation. We show the existence of stable stationar…
Stability of localized modes in PT-symmetric nonlinear potentials
D. A. Zezyulin, Y. V. Kartashov, V. V. Konotop
We report on detailed investigation of the stability of localized modes in the nonlinear Schrodinger equations with a nonlinear parity-time (alias PT) symmetric potential. We are p…
Fourier mode dynamics for the nonlinear Schroedinger equation in one-dimensional bounded domains
J. G. Caputo, N. K. Efremidis, Chao Hang
We analyze the 1D focusing nonlinear Schrödinger equation in a finite interval with homogeneous Dirichlet or Neumann boundary conditions. There are two main dynamics, the collapse…
Dissipative periodic waves, solitons and breathers of the nonlinear Schrodinger equation with complex potentials
F. Kh. Abdullaev, V. V. Konotop, M. Salerno +1
Exact solutions for the generalized nonlinear Schrödinger (NLS) equation with inhomogeneous complex linear and nonlinear potentials are found. We have found localized and periodic…
Compactons in Nonlinear Schrödinger Lattices with Strong Nonlinearity Management
F. Kh. Abdullaev, P. G. Kevrekidis, M. Salerno
The existence of compactons in the discrete nonlinear Schrödinger equation in the presence of fast periodic time modulations of the nonlinearity is demonstrated. In the averaged DN…
Surface Solitons in Three Dimensions
Q. E. Hoq, R. Carretero-Gonzalez, P. G. Kevrekidis +4
We study localized modes on the surface of a three-dimensional dynamical lattice. The stability of these structures on the surface is investigated and compared to that in the bulk…