Dmitry Pelinovsky

Dmitry Pelinovsky

McMaster University

H-index: 55

North America-Canada

About Dmitry Pelinovsky

Dmitry Pelinovsky, With an exceptional h-index of 55 and a recent h-index of 32 (since 2020), a distinguished researcher at McMaster University, specializes in the field of Nonlinear waves, Integrable PDEs, Applied analysis.

His recent articles reflect a diverse array of research interests and contributions to the field:

On the extinction of multiple shocks in scalar viscous conservation laws

Dynamics of the black soliton in a regularized nonlinear Schrödinger equation

Rogue waves arising on the standing periodic waves in the Ablowitz-Ladik equation

Stability of black solitons in optical systems with intensity-dependent dispersion

Bright and dark breathers of the Benjamin–Ono equation on the traveling periodic background

Travelling modulating pulse solutions with small tails for a nonlinear wave equation in periodic media

On the transverse stability of smooth solitary waves in a two-dimensional Camassa-Holm equation

Extinction of multiple shocks in the modular Burgers’ equation

Dmitry Pelinovsky Information

University

Position

Professor

Citations(all)

11253

Citations(since 2020)

3856

Cited By

8696

hIndex(all)

55

hIndex(since 2020)

32

i10Index(all)

228

i10Index(since 2020)

120

Email

University Profile Page

McMaster University

Google Scholar

View Google Scholar Profile

Dmitry Pelinovsky Skills & Research Interests

Nonlinear waves

Integrable PDEs

Applied analysis

Top articles of Dmitry Pelinovsky

Title

Journal

Author(s)

Publication Date

On the extinction of multiple shocks in scalar viscous conservation laws

arXiv preprint arXiv:2403.04628

Jeanne Lin

Dmitry E Pelinovsky

Bjorn de Rijk

2024/3/7

Dynamics of the black soliton in a regularized nonlinear Schrödinger equation

Proceedings of the American Mathematical Society

Dmitry Pelinovsky

Michael Plum

2024/3

Rogue waves arising on the standing periodic waves in the Ablowitz-Ladik equation

Stud. Appl. Math. 152 (2024) 147-173

Jinbing Chen

Dmitry E Pelinovsky

2024

Stability of black solitons in optical systems with intensity-dependent dispersion

SIAM Journal on Mathematical Analysis

Dmitry E Pelinovsky

Michael Plum

2024/4/30

Bright and dark breathers of the Benjamin–Ono equation on the traveling periodic background

Wave Motion

Jinbing Chen

Dmitry E Pelinovsky

2024/4/1

Travelling modulating pulse solutions with small tails for a nonlinear wave equation in periodic media

Nonlinearity

Tomáš Dohnal

Dmitry E Pelinovsky

Guido Schneider

2024/3/22

On the transverse stability of smooth solitary waves in a two-dimensional Camassa-Holm equation

arXiv preprint arXiv:2307.12821

Anna Geyer

Yue Liu

Dmitry E Pelinovsky

2023/7/24

Extinction of multiple shocks in the modular Burgers’ equation

Nonlinear Dynamics

Dmitry E Pelinovsky

Björn de Rijk

2023/2

Positive solutions of the Gross–Pitaevskii equation for energy critical and supercritical nonlinearities

Nonlinearity

Dmitry E Pelinovsky

Juncheng Wei

Yuanze Wu

2023/6/6

Rogue waves in the sea: observations, physics, and mathematics

Alexey V Slunyaev

Dmitrii Efimovich Pelinovsky

Efim Naumovich Pelinovsky

2023/2/1

KdV breathers on a cnoidal wave background

Journal of Physics A: Mathematical and Theoretical

Mark A Hoefer

Ana Mucalica

Dmitry E Pelinovsky

2023/4/13

Ground state of the Gross–Pitaevskii equation with a harmonic potential in the energy-critical case

Asymptotic Analysis

Dmitry E Pelinovsky

Szymon Sobieszek

2023

Periodic waves in the discrete mKdV equation: Modulational instability and rogue waves

Physica D: Nonlinear Phenomena

Jinbing Chen

Dmitry E Pelinovsky

2023/3/1

Turing bifurcation in the Swift-Hohenberg equation on deterministic and random graphs

arXiv preprint arXiv:2312.10207

Georgi S Medvedev

Dmitry E Pelinovsky

2023/12/15

KP-II Approximation for a scalar FERMI–PASTA–ULAM system on a 2D square lattice

SIAM Journal on Applied Mathematics

Dmitry Pelinovsky

Guido Schneider

2023/2/28

Dark breathers on a snoidal wave background in the defocusing MKDV equation

arXiv preprint arXiv:2312.08969

Ana Mucalica

Dmitry E Pelinovsky

2023/12/14

Pinning in the extended Lugiato-Lefever equation

arXiv preprint arXiv:2302.00311

Lukas Bengel

Dmitry Pelinovsky

Wolfgang Reichel

2023/2/1

Periodic waves in the fractional modified Korteweg–de Vries equation

Journal of Dynamics and Differential Equations

Fábio Natali

Uyen Le

Dmitry E Pelinovsky

2022/6

Stability of smooth solitary waves in the b-Camassa–Holm equation

Physica D: Nonlinear Phenomena

Stéphane Lafortune

Dmitry E Pelinovsky

2022/11/15

Standing waves on quantum graphs

Journal of Physics A: Mathematical and Theoretical

Adilbek Kairzhan

Diego Noja

Dmitry E Pelinovsky

2022/5/30

See List of Professors in Dmitry Pelinovsky University(McMaster University)

Co-Authors

H-index: 188
Edward Sargent

Edward Sargent

University of Toronto

H-index: 163
Yuri S Kivshar

Yuri S Kivshar

Australian National University

H-index: 82
Panayotis Kevrekidis

Panayotis Kevrekidis

University of Massachusetts Amherst

H-index: 65
Roger Grimshaw

Roger Grimshaw

Loughborough University

H-index: 60
Dimitri Frantzeskakis

Dimitri Frantzeskakis

National and Kapodistrian University of Athens

H-index: 36
Igor Barashenkov

Igor Barashenkov

University of Cape Town

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