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Dmitry E. Pelinovsky

Dmitry E. Pelinovsky

D-Index & Metrics

Mathematics

D-Index
63
Citations
12429
World Ranking
445
National Ranking
16

Engineering and Technology

D-Index
56
Citations
10666
World Ranking
2861
National Ranking
121

Overview

Dmitry E. Pelinovsky is a researcher affiliated with McMaster University in Canada. Their primary fields of study encompass Physics and Astronomy as well as Mathematics, with significant contributions to subfields such as Statistical and Nonlinear Physics, Mathematical Physics, Atomic and Molecular Physics and Optics, Geometry and Topology, and Numerical Analysis.

The scientist's research topics focus extensively on areas including Nonlinear Photonic Systems, Nonlinear Waves and Solitons, Advanced Mathematical Physics Problems, Quantum Chaos and Dynamical Systems, Algebraic Structures and Combinatorial Models, Cold Atom Physics and Bose-Einstein Condensates, and Differential Equations and Numerical Methods.

Pelinovsky has published several recent papers, notable among them are:

  • Periodic standing waves in the focusing nonlinear Schrödinger equation: Rogue waves and modulation instability, 2020, Physica D Nonlinear Phenomena
  • Rogue waves on the background of periodic standing waves in the derivative nonlinear Schrödinger equation, 2021, Physical Review E
  • Observation of modulation instability and rogue breathers on stationary periodic waves, 2020, Physical Review Research
  • Stability of smooth periodic travelling waves in the Camassa-Holm equation, 2021, Studies in Applied Mathematics
  • Standing waves of the quintic NLS equation on the tadpole graph, 2020, BOA (University of Milano-Bicocca)

The scientist frequently collaborates with co-authors including Jinbing Chen, Anna Geyer, Guido Schneider, Fábio Natali, and Uyen Le.

Publication venues where Pelinovsky's work is frequently seen include arXiv (Cornell University), Nonlinearity, Physica D Nonlinear Phenomena, SIAM Journal on Mathematical Analysis, and SSRN Electronic Journal.

In addition to articles, Dmitry E. Pelinovsky has authored a book titled Stability of Nonlinear Waves in Hamiltonian Dynamical Systems, expected to be published by Mathematical Surveys and Monographs in 2025.

Best Publications

  • Self-focusing and transverse instabilities of solitary waves

    Yuri S. Kivshar;Dmitry E. Pelinovsky

  • Vibrations and Oscillatory Instabilities of Gap Solitons

    I. V. Barashenkov;D. E. Pelinovsky;E. V. Zemlyanaya

  • Internal Modes of Solitary Waves

    Yuri S. Kivshar;Dmitry E. Pelinovsky;Thierry Cretegny;Michel Peyrard

  • Matter-wave bright solitons in spin-orbit coupled Bose-Einstein condensates.

    V. Achilleos;D. J. Frantzeskakis;P. G. Kevrekidis;D. E. Pelinovsky

  • Stability of discrete solitons in nonlinear Schrödinger lattices

    D.E. Pelinovsky;P.G. Kevrekidis;D.J. Frantzeskakis

  • Self-focusing of plane dark solitons in nonlinear defocusing media

    Dmitry E. Pelinovsky;Dmitry E. Pelinovsky;Yuri A. Stepanyants;Yuri S. Kivshar

  • Bifurcations and stability of gap solitons in periodic potentials.

    Dmitry E. Pelinovsky;Andrey A. Sukhorukov;Yuri S. Kivshar

  • Instability of solitons governed by quadratic nonlinearities.

    Dmitry E. Pelinovsky;Alexander V. Buryak;Yuri S. Kivshar

  • Nonlinear theory of oscillating, decaying, and collapsing solitons in the generalized nonlinear Schrödinger equation.

    Dmitry E. Pelinovsky;Vsevolod V. Afanasjev;Yuri S. Kivshar

  • Convergence of Petviashvili's Iteration Method for Numerical Approximation of Stationary Solutions of Nonlinear Wave Equations

    Dmitry E. Pelinovsky;Yury A. Stepanyants

  • Persistence and stability of discrete vortices in nonlinear Schrödinger lattices

    D.E. Pelinovsky;P.G. Kevrekidis;D.J. Frantzeskakis

  • Internal modes of envelope solitons

    Dmitry E. Pelinovsky;Yuri S. Kivshar;Vsevolod V. Afanasjev

  • Localization in Periodic Potentials: From Schrodinger Operators to the Gross-Pitaevskii Equation

    Dmitry E. Pelinovsky

  • Wave group dynamics in weakly nonlinear long-wave models

    Roger H.J. Grimshaw;Dmitry Pelinovsky;Efim N. Pelinovsky;Tatiana G. Talipova

  • Rogue periodic waves of the focusing nonlinear Schrödinger equation

    Jinbing Chen;Dmitry E. Pelinovsky

  • Spectra of Positive and Negative Energies in the Linearized NLS Problem

    Scipio Cuccagna;Dmitry Pelinovsky;Vitali Vougalter

  • Rogue periodic waves of the modified KdV equation

    Jinbing Chen;Jinbing Chen;Dmitry E Pelinovsky;Dmitry E Pelinovsky

  • Rogue periodic waves of the mKdV equation

    Jinbing Chen;Dmitry E. Pelinovsky

  • Convergence of the Adomian decomposition method for initial‐value problems

    Unknown

  • Generation of large-amplitude solitons in the extended Korteweg–de Vries equation

    Roger Grimshaw;Dmitry Pelinovsky;Efim Pelinovsky;Alexey Slunyaev

  • Interaction of lumps with a line soliton for the DSII equation

    A.S. Fokas;A.S. Fokas;D.E. Pelinovsky;C. Sulem

  • Bifurcation of gap solitons in periodic potentials with a sign-varying nonlinearity coefficient

    Juan Belmonte-Beitia;Dmitry Pelinovsky

Frequent Co-Authors

Panayotis G. Kevrekidis
Panayotis G. Kevrekidis University of Massachusetts Amherst
Guido Schneider
Guido Schneider University of Stuttgart
Yuri S. Kivshar
Yuri S. Kivshar Australian National University
Roger Grimshaw
Roger Grimshaw Loughborough University
Jianke Yang
Jianke Yang University of Vermont
Dimitri J. Frantzeskakis
Dimitri J. Frantzeskakis National and Kapodistrian University of Athens
Catherine Sulem
Catherine Sulem University of Toronto
Efim Pelinovsky
Efim Pelinovsky National Research University Higher School of Economics
Edward H. Sargent
Edward H. Sargent Northwestern University
Athanassios S. Fokas
Athanassios S. Fokas University of Cambridge

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