Dmitry Pelinovsky

According to our database, Dmitry Pelinovsky authored at least 41 papers between 2003 and 2025.

Collaborative distances:

• Dijkstra number of four.
• Erdős number of five.

2025

Peaked Stokes waves as solutions of Babenko's equation.

Spencer Locke, Dmitry E. Pelinovsky

Appl. Math. Lett., 2025

2024

Stability of Black Solitons in Optical Systems with Intensity-Dependent Dispersion.

Dmitry E. Pelinovsky, Michael Plum

SIAM J. Math. Anal., 2024

Pinning in the Extended Lugiato-Lefever Equation.

Lukas Bengel, Dmitry Pelinovsky, Wolfgang Reichel

SIAM J. Math. Anal., 2024

On the Extinction of Multiple Shocks in Scalar Viscous Conservation Laws.

Jeanne Lin, Dmitry E. Pelinovsky, Björn de Rijk

SIAM J. Appl. Dyn. Syst., 2024

2023

KP-II Approximation for a Scalar FERMI-PASTA-Ulam System on a 2D Square Lattice.

Dmitry Pelinovsky, Guido Schneider

SIAM J. Appl. Math., February, 2023

2022

Periodic Waves of the Modified KdV Equation as Minimizers of a New Variational Problem.

Uyen Le, Dmitry E. Pelinovsky

SIAM J. Appl. Dyn. Syst., December, 2022

Linear Instability of Breathers for the Focusing Nonlinear Schrödinger Equation.

Mariana Haragus, Dmitry E. Pelinovsky

J. Nonlinear Sci., 2022

2021

Growth of Perturbations to the Peaked Periodic Waves in the Camassa-Holm Equation.

Aigerim Madiyeva, Dmitry E. Pelinovsky

SIAM J. Math. Anal., 2021

Modulational Instability of Periodic Standing Waves in the Derivative NLS Equation.

Jinbing Chen, Dmitry E. Pelinovsky, Jeremy Upsal

J. Nonlinear Sci., 2021

Stability and interaction of compactons in the sublinear KdV equation.

Dmitry E. Pelinovsky, Alexey Slunyaev, Anna V. Kokorina, Efim N. Pelinovsky

Commun. Nonlinear Sci. Numer. Simul., 2021

2020

The monoatomic FPU system as a limit of a diatomic FPU system.

Dmitry E. Pelinovsky, Guido Schneider

Appl. Math. Lett., 2020

2019

Convergence of Petviashvili's Method near Periodic Waves in the Fractional Korteweg-de Vries Equation.

Uyen Le, Dmitry E. Pelinovsky

SIAM J. Math. Anal., 2019

Linear Instability and Uniqueness of the Peaked Periodic Wave in the Reduced Ostrovsky Equation.

Anna Geyer, Dmitry Pelinovsky

SIAM J. Math. Anal., 2019

Drift of Spectrally Stable Shifted States on Star Graphs.

Adilbek Kairzhan, Dmitry E. Pelinovsky, Roy H. Goodman

SIAM J. Appl. Dyn. Syst., 2019

Periodic Travelling Waves of the Modified KdV Equation and Rogue Waves on the Periodic Background.

Jinbing Chen, Dmitry E. Pelinovsky

J. Nonlinear Sci., 2019

Nonexistence of self-similar blowup for the nonlinear Dirac equations in (1+1) dimensions.

Hyungjin Huh, Dmitry E. Pelinovsky

Appl. Math. Lett., 2019

2018

Orbital Stability of Domain Walls in Coupled Gross-Pitaevskii Systems.

Andres Contreras, Dmitry E. Pelinovsky, Michael Plum

SIAM J. Math. Anal., 2018

2016

Breathers in Hamiltonian PT -Symmetric Chains of Coupled Pendula under a Resonant Periodic Force.

Alexander Chernyavsky, Dmitry E. Pelinovsky

Symmetry, 2016

Self-Similar Solutions for Reversing Interfaces in the Slow Diffusion Equation with Strong Absorption.

Jamie M. Foster, Dmitry E. Pelinovsky

SIAM J. Appl. Dyn. Syst., 2016

Transverse Instability of Line Solitary Waves in Massive Dirac Equations.

Dmitry Pelinovsky, Yusuke Shimabukuro

J. Nonlinear Sci., 2016

2015

Persistence of the Thomas-Fermi approximation for ground states of the Gross-Pitaevskii equation supported by the nonlinear confinement.

Boris A. Malomed, Dmitry E. Pelinovsky

Appl. Math. Lett., 2015

2014

Justification of the log-KdV Equation in Granular Chains: The Case of Precompression.

Éric Dumas, Dmitry Pelinovsky

SIAM J. Math. Anal., 2014

2013

Nonlinear Stationary States in PT-Symmetric Lattices.

Panayotis G. Kevrekidis, Dmitry E. Pelinovsky, Dmitry Tyugin

SIAM J. Appl. Dyn. Syst., 2013

Periodic Traveling Waves in Diatomic Granular Chains.

Matthew Betti, Dmitry E. Pelinovsky

J. Nonlinear Sci., 2013

2012

Polychromatic Solitary Waves in a Periodic and Nonlinear Maxwell System.

Dmitry E. Pelinovsky, Gideon Simpson, Michael I. Weinstein

SIAM J. Appl. Dyn. Syst., 2012

2011

On the Thomas-Fermi ground state in a harmonic potential.

Clément Gallo, Dmitry Pelinovsky

Asymptot. Anal., 2011

2010

Wave Breaking in the Ostrovsky-Hunter Equation.

Yue Liu, Dmitry Pelinovsky, Anton Sakovich

SIAM J. Math. Anal., 2010

2009

Asymptotic Stability of Small Bound States in the Discrete Nonlinear Schrödinger Equation.

Panayotis G. Kevrekidis, Dmitry E. Pelinovsky, Atanas Stefanov

SIAM J. Math. Anal., 2009

Discrete Traveling Solitons in the Salerno Model.

Thomas R. O. Melvin, Alan R. Champneys, Dmitry E. Pelinovsky

SIAM J. Appl. Dyn. Syst., 2009

On the uniform convergence of the Chebyshev interpolants for solitons.

Marina Chugunova, Dmitry Pelinovsky

Math. Comput. Simul., 2009

Coupled-Mode Equations and Gap Solitons in a Two-Dimensional Nonlinear Elliptic Problem with a Separable Periodic Potential.

Tomás Dohnal, Dmitry Pelinovsky, Guido Schneider

J. Nonlinear Sci., 2009

2008

Surface Gap Solitons at a Nonlinearity Interface.

Tomás Dohnal, Dmitry Pelinovsky

SIAM J. Appl. Dyn. Syst., 2008

Kadomtsev-Petviashvili equation.

Gino Biondini, Dmitry Pelinovsky

Scholarpedia, 2008

2007

Nonlinear Instability of a Critical Traveling Wave in the Generalized Korteweg-de Vries Equation.

Andrew Comech, Scipio Cuccagna, Dmitry E. Pelinovsky

SIAM J. Math. Anal., 2007

2006

Block-Diagonalization of the Symmetric First-Order Coupled-Mode System.

Marina Chugunova, Dmitry Pelinovsky

SIAM J. Appl. Dyn. Syst., 2006

Evans Function for Lax Operators with Algebraically Decaying Potentials.

Martin Klaus, Dmitry E. Pelinovsky, Vassilis M. Rothos

J. Nonlinear Sci., 2006

2005

Modeling of Wave Resonances in Low-Contrast Photonic Crystals.

Dmitri Agueev, Dmitry Pelinovsky

SIAM J. Appl. Math., 2005

2004

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

Dmitry E. Pelinovsky, Yury A. Stepanyants

SIAM J. Numer. Anal., 2004

Parametric Resonance and Radiative Decay of Dispersion-Managed Solitons.

Dmitry Pelinovsky, Jianke Yang

SIAM J. Appl. Math., 2004

2003

Averaging of Dispersion-Managed Solitons: Existence and Stability.

Dmitry Pelinovsky, Vadim Zharnitsky

SIAM J. Appl. Math., 2003

Stability Analysis of Stationary Light Transmission in Nonlinear Photonic Structures.

Dmitry E. Pelinovsky, Arnd Scheel

J. Nonlinear Sci., 2003