Dmitry E. Pelinovsky

Publication Activity (10 Years)

Years Active: 2003-2024
Publications (10 Years): 14

Top Topics

Nonlinear Dynamical

Numerical Integration

Diffusion Equation

Top Venues

SIAM J. Math. Anal.

Appl. Math. Lett.

SIAM J. Appl. Dyn. Syst.

J. Nonlinear Sci.

Publications

Dmitry E. Pelinovsky, Michael Plum
Stability of Black Solitons in Optical Systems with Intensity-Dependent Dispersion. SIAM J. Math. Anal. 56 (2) (2024)
Uyen Le, Dmitry E. Pelinovsky
Periodic Waves of the Modified KdV Equation as Minimizers of a New Variational Problem. SIAM J. Appl. Dyn. Syst. 21 (4) (2022)
Mariana Haragus, Dmitry E. Pelinovsky
Linear Instability of Breathers for the Focusing Nonlinear Schrödinger Equation. J. Nonlinear Sci. 32 (5) (2022)
Jinbing Chen, Dmitry E. Pelinovsky, Jeremy Upsal
Modulational Instability of Periodic Standing Waves in the Derivative NLS Equation. J. Nonlinear Sci. 31 (3) (2021)
Dmitry E. Pelinovsky, Alexey Slunyaev, Anna V. Kokorina, Efim Pelinovsky
Stability and interaction of compactons in the sublinear KdV equation. Commun. Nonlinear Sci. Numer. Simul. 101 (2021)
Aigerim Madiyeva, Dmitry E. Pelinovsky
Growth of Perturbations to the Peaked Periodic Waves in the Camassa-Holm Equation. SIAM J. Math. Anal. 53 (3) (2021)
Dmitry E. Pelinovsky, Guido Schneider
The monoatomic FPU system as a limit of a diatomic FPU system. Appl. Math. Lett. 107 (2020)
Uyen Le, Dmitry E. Pelinovsky
Convergence of Petviashvili's Method near Periodic Waves in the Fractional Korteweg-de Vries Equation. SIAM J. Math. Anal. 51 (4) (2019)
Hyungjin Huh, Dmitry E. Pelinovsky
Nonexistence of self-similar blowup for the nonlinear Dirac equations in (1+1) dimensions. Appl. Math. Lett. 92 (2019)
Adilbek Kairzhan, Dmitry E. Pelinovsky, Roy H. Goodman
Drift of Spectrally Stable Shifted States on Star Graphs. SIAM J. Appl. Dyn. Syst. 18 (4) (2019)
Jinbing Chen, Dmitry E. Pelinovsky
Periodic Travelling Waves of the Modified KdV Equation and Rogue Waves on the Periodic Background. J. Nonlinear Sci. 29 (6) (2019)
Andres Contreras, Dmitry E. Pelinovsky, Michael Plum
Orbital Stability of Domain Walls in Coupled Gross-Pitaevskii Systems. SIAM J. Math. Anal. 50 (1) (2018)
Alexander Chernyavsky, Dmitry E. Pelinovsky
Breathers in Hamiltonian PT -Symmetric Chains of Coupled Pendula under a Resonant Periodic Force. Symmetry 8 (7) (2016)
Jamie M. Foster, Dmitry E. Pelinovsky
Self-Similar Solutions for Reversing Interfaces in the Slow Diffusion Equation with Strong Absorption. SIAM J. Appl. Dyn. Syst. 15 (4) (2016)
Boris A. Malomed, Dmitry E. Pelinovsky
Persistence of the Thomas-Fermi approximation for ground states of the Gross-Pitaevskii equation supported by the nonlinear confinement. Appl. Math. Lett. 40 (2015)
Matthew Betti, Dmitry E. Pelinovsky
Periodic Traveling Waves in Diatomic Granular Chains. J. Nonlinear Sci. 23 (5) (2013)
Panayotis G. Kevrekidis, Dmitry E. Pelinovsky, Dmitry Tyugin
Nonlinear Stationary States in PT-Symmetric Lattices. SIAM J. Appl. Dyn. Syst. 12 (3) (2013)
Dmitry E. Pelinovsky, Gideon Simpson, Michael I. Weinstein
Polychromatic Solitary Waves in a Periodic and Nonlinear Maxwell System. SIAM J. Appl. Dyn. Syst. 11 (1) (2012)
Panayotis G. Kevrekidis, Dmitry E. Pelinovsky, Atanas Stefanov
Asymptotic Stability of Small Bound States in the Discrete Nonlinear Schrödinger Equation. SIAM J. Math. Anal. 41 (5) (2009)
Thomas R. O. Melvin, Alan R. Champneys, Dmitry E. Pelinovsky
Discrete Traveling Solitons in the Salerno Model. SIAM J. Appl. Dyn. Syst. 8 (2) (2009)
Andrew Comech, Scipio Cuccagna, Dmitry E. Pelinovsky
Nonlinear Instability of a Critical Traveling Wave in the Generalized Korteweg-de Vries Equation. SIAM J. Math. Anal. 39 (1) (2007)
Martin Klaus, Dmitry E. Pelinovsky, Vassilis M. Rothos
Evans Function for Lax Operators with Algebraically Decaying Potentials. J. Nonlinear Sci. 16 (1) (2006)
Dmitry E. Pelinovsky, Yury A. Stepanyants
Convergence of Petviashvili's Iteration Method for Numerical Approximation of Stationary Solutions of Nonlinear Wave Equations. SIAM J. Numer. Anal. 42 (3) (2004)
Dmitry E. Pelinovsky, Arnd Scheel
Stability Analysis of Stationary Light Transmission in Nonlinear Photonic Structures. J. Nonlinear Sci. 13 (4) (2003)