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ORCIDDmitry Pelinovsky
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- affiliation: McMaster University
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Journal Articles
- 2024
[j39]Dmitry E. Pelinovsky
, Michael Plum:
Stability of Black Solitons in Optical Systems with Intensity-Dependent Dispersion. SIAM J. Math. Anal. 56(2): 2521-2568 (2024)- [j38]Lukas Bengel, Dmitry Pelinovsky, Wolfgang Reichel:
Pinning in the Extended Lugiato-Lefever Equation. SIAM J. Math. Anal. 56(3): 3679-3702 (2024) - 2023
- [j37]Dmitry Pelinovsky, Guido Schneider:
KP-II Approximation for a Scalar FERMI-PASTA-Ulam System on a 2D Square Lattice. SIAM J. Appl. Math. 83(1): 79-98 (2023) - 2022
- [j36]Mariana Haragus, Dmitry E. Pelinovsky:
Linear Instability of Breathers for the Focusing Nonlinear Schrödinger Equation. J. Nonlinear Sci. 32(5): 66 (2022) - [j35]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): 2518-2534 (2022) - 2021
- [j34]Dmitry E. Pelinovsky, Alexey Slunyaev, Anna V. Kokorina, Efim N. Pelinovsky:
Stability and interaction of compactons in the sublinear KdV equation. Commun. Nonlinear Sci. Numer. Simul. 101: 105855 (2021) - [j33]Jinbing Chen, Dmitry E. Pelinovsky, Jeremy Upsal:
Modulational Instability of Periodic Standing Waves in the Derivative NLS Equation. J. Nonlinear Sci. 31(3): 58 (2021) - [j32]Aigerim Madiyeva, Dmitry E. Pelinovsky:
Growth of Perturbations to the Peaked Periodic Waves in the Camassa-Holm Equation. SIAM J. Math. Anal. 53(3): 3016-3039 (2021) - 2020
- [j31]Dmitry E. Pelinovsky, Guido Schneider:
The monoatomic FPU system as a limit of a diatomic FPU system. Appl. Math. Lett. 107: 106387 (2020) - 2019
- [j30]Hyungjin Huh, Dmitry E. Pelinovsky:
Nonexistence of self-similar blowup for the nonlinear Dirac equations in (1+1) dimensions. Appl. Math. Lett. 92: 176-183 (2019) - [j29]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): 2797-2843 (2019) - [j28]Adilbek Kairzhan, Dmitry E. Pelinovsky, Roy H. Goodman:
Drift of Spectrally Stable Shifted States on Star Graphs. SIAM J. Appl. Dyn. Syst. 18(4): 1723-1755 (2019) - [j27]Anna Geyer, Dmitry Pelinovsky:
Linear Instability and Uniqueness of the Peaked Periodic Wave in the Reduced Ostrovsky Equation. SIAM J. Math. Anal. 51(2): 1188-1208 (2019) - [j26]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): 2850-2883 (2019) - 2018
- [j25]Andres Contreras, Dmitry E. Pelinovsky, Michael Plum:
Orbital Stability of Domain Walls in Coupled Gross-Pitaevskii Systems. SIAM J. Math. Anal. 50(1): 810-833 (2018) - 2016
- [j24]Dmitry Pelinovsky, Yusuke Shimabukuro:
Transverse Instability of Line Solitary Waves in Massive Dirac Equations. J. Nonlinear Sci. 26(2): 365-403 (2016) - [j23]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): 2017-2050 (2016) - [j22]Alexander Chernyavsky, Dmitry E. Pelinovsky:
Breathers in Hamiltonian PT -Symmetric Chains of Coupled Pendula under a Resonant Periodic Force. Symmetry 8(7): 59 (2016) - 2015
- [j21]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: 45-48 (2015) - 2014
- [j20]Éric Dumas, Dmitry Pelinovsky:
Justification of the log-KdV Equation in Granular Chains: The Case of Precompression. SIAM J. Math. Anal. 46(6): 4075-4103 (2014) - 2013
- [j19]Matthew Betti, Dmitry E. Pelinovsky:
Periodic Traveling Waves in Diatomic Granular Chains. J. Nonlinear Sci. 23(5): 689-730 (2013) - [j18]Panayotis G. Kevrekidis, Dmitry E. Pelinovsky, Dmitry Tyugin:
Nonlinear Stationary States in PT-Symmetric Lattices. SIAM J. Appl. Dyn. Syst. 12(3): 1210-1236 (2013) - 2012
- [j17]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): 478-506 (2012) - 2011
- [j16]Clément Gallo, Dmitry Pelinovsky:
On the Thomas-Fermi ground state in a harmonic potential. Asymptot. Anal. 73(1-2): 53-96 (2011) - 2010
- [j15]Yue Liu, Dmitry Pelinovsky, Anton Sakovich:
Wave Breaking in the Ostrovsky-Hunter Equation. SIAM J. Math. Anal. 42(5): 1967-1985 (2010) - 2009
- [j14]Tomás Dohnal, Dmitry Pelinovsky, Guido Schneider:
Coupled-Mode Equations and Gap Solitons in a Two-Dimensional Nonlinear Elliptic Problem with a Separable Periodic Potential. J. Nonlinear Sci. 19(2): 95-131 (2009) - [j13]Marina Chugunova, Dmitry Pelinovsky:
On the uniform convergence of the Chebyshev interpolants for solitons. Math. Comput. Simul. 80(4): 794-803 (2009) - [j12]Thomas R. O. Melvin, Alan R. Champneys, Dmitry E. Pelinovsky:
Discrete Traveling Solitons in the Salerno Model. SIAM J. Appl. Dyn. Syst. 8(2): 689-709 (2009) - [j11]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): 2010-2030 (2009) - 2008
- [j10]Gino Biondini, Dmitry Pelinovsky:
Kadomtsev-Petviashvili equation. Scholarpedia 3(10): 6539 (2008) - [j9]Tomás Dohnal, Dmitry Pelinovsky:
Surface Gap Solitons at a Nonlinearity Interface. SIAM J. Appl. Dyn. Syst. 7(2): 249-264 (2008) - 2007
- [j8]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): 1-33 (2007) - 2006
- [j7]Martin Klaus, Dmitry E. Pelinovsky, Vassilis M. Rothos:
Evans Function for Lax Operators with Algebraically Decaying Potentials. J. Nonlinear Sci. 16(1): 1-44 (2006) - [j6]Marina Chugunova, Dmitry Pelinovsky:
Block-Diagonalization of the Symmetric First-Order Coupled-Mode System. SIAM J. Appl. Dyn. Syst. 5(1): 66-83 (2006) - 2005
- [j5]Dmitri Agueev, Dmitry Pelinovsky:
Modeling of Wave Resonances in Low-Contrast Photonic Crystals. SIAM J. Appl. Math. 65(4): 1101-1129 (2005) - 2004
- [j4]Dmitry Pelinovsky, Jianke Yang:
Parametric Resonance and Radiative Decay of Dispersion-Managed Solitons. SIAM J. Appl. Math. 64(4): 1360-1382 (2004) - [j3]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): 1110-1127 (2004) - 2003
- [j2]Dmitry E. Pelinovsky, Arnd Scheel:
Stability Analysis of Stationary Light Transmission in Nonlinear Photonic Structures. J. Nonlinear Sci. 13(4): 347-396 (2003) - [j1]Dmitry Pelinovsky, Vadim Zharnitsky:
Averaging of Dispersion-Managed Solitons: Existence and Stability. SIAM J. Appl. Math. 63(3): 745-776 (2003)
Coauthor Index
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