Stability Analysis of Stationary Light Transmission in Nonlinear Photonic Structures. - Dmitry E. Pelinovsky; Arnd Scheel (J. Nonlinear Sci., 2003)

Averaging of Dispersion-Managed Solitons: Existence and Stability. - Dmitry Pelinovsky; Vadim Zharnitsky (SIAM J. Appl. Math., 2003)

Parametric Resonance and Radiative Decay of Dispersion-Managed Solitons. - Dmitry Pelinovsky; Jianke Yang (SIAM J. Appl. Math., 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)

Modeling of Wave Resonances in Low-Contrast Photonic Crystals. - Dmitri Agueev; Dmitry Pelinovsky (SIAM J. Appl. Math., 2005)

Evans Function for Lax Operators with Algebraically Decaying Potentials. - Martin Klaus; Dmitry E. Pelinovsky; Vassilis M. Rothos (J. Nonlinear Sci., 2006)

Block-Diagonalization of the Symmetric First-Order Coupled-Mode System. - Marina Chugunova; Dmitry Pelinovsky (SIAM J. Appl. Dyn. Syst., 2006)

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)

Kadomtsev-Petviashvili equation. - Gino Biondini; Dmitry Pelinovsky (Scholarpedia, 2008)

Surface Gap Solitons at a Nonlinearity Interface. - Tomás Dohnal; Dmitry Pelinovsky (SIAM J. Appl. Dyn. Syst., 2008)

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)

On the uniform convergence of the Chebyshev interpolants for solitons. - Marina Chugunova; Dmitry Pelinovsky (Math. Comput. Simul., 2009)

Discrete Traveling Solitons in the Salerno Model. - Thomas R. O. Melvin; Alan R. Champneys; Dmitry E. Pelinovsky (SIAM J. Appl. Dyn. Syst., 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)

Wave Breaking in the Ostrovsky-Hunter Equation. - Yue Liu; Dmitry Pelinovsky; Anton Sakovich (SIAM J. Math. Anal., 2010)

On the Thomas-Fermi ground state in a harmonic potential. - Clément Gallo; Dmitry Pelinovsky (Asymptot. Anal., 2011)

Polychromatic Solitary Waves in a Periodic and Nonlinear Maxwell System. - Dmitry E. Pelinovsky; Gideon Simpson; Michael I. Weinstein (SIAM J. Appl. Dyn. Syst., 2012)

Periodic Traveling Waves in Diatomic Granular Chains. - Matthew Betti; Dmitry E. Pelinovsky (J. Nonlinear Sci., 2013)

Nonlinear Stationary States in PT-Symmetric Lattices. - Panayotis G. Kevrekidis; Dmitry E. Pelinovsky; Dmitry Tyugin (SIAM J. Appl. Dyn. Syst., 2013)

Justification of the log-KdV Equation in Granular Chains: The Case of Precompression. - Éric Dumas; Dmitry Pelinovsky (SIAM J. Math. Anal., 2014)

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)

Transverse Instability of Line Solitary Waves in Massive Dirac Equations. - Dmitry Pelinovsky; Yusuke Shimabukuro (J. Nonlinear Sci., 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)

Breathers in Hamiltonian PT -Symmetric Chains of Coupled Pendula under a Resonant Periodic Force. - Alexander Chernyavsky; Dmitry E. Pelinovsky (Symmetry, 2016)

Orbital Stability of Domain Walls in Coupled Gross-Pitaevskii Systems. - Andres Contreras; Dmitry E. Pelinovsky; Michael Plum (SIAM J. Math. Anal., 2018)

Nonexistence of self-similar blowup for the nonlinear Dirac equations in (1+1) dimensions. - Hyungjin Huh; Dmitry E. Pelinovsky (Appl. Math. Lett., 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)

Drift of Spectrally Stable Shifted States on Star Graphs. - Adilbek Kairzhan; Dmitry E. Pelinovsky; Roy H. Goodman (SIAM J. Appl. Dyn. Syst., 2019)

Linear Instability and Uniqueness of the Peaked Periodic Wave in the Reduced Ostrovsky Equation. - Anna Geyer; Dmitry Pelinovsky (SIAM J. Math. Anal., 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)

The monoatomic FPU system as a limit of a diatomic FPU system. - Dmitry E. Pelinovsky; Guido Schneider (Appl. Math. Lett., 2020)

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)

Modulational Instability of Periodic Standing Waves in the Derivative NLS Equation. - Jinbing Chen; Dmitry E. Pelinovsky; Jeremy Upsal (J. Nonlinear Sci., 2021)

Growth of Perturbations to the Peaked Periodic Waves in the Camassa-Holm Equation. - Aigerim Madiyeva; Dmitry E. Pelinovsky (SIAM J. Math. Anal., 2021)

Linear Instability of Breathers for the Focusing Nonlinear Schrödinger Equation. - Mariana Haragus; Dmitry E. Pelinovsky (J. Nonlinear Sci., 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., 2022)

KP-II Approximation for a Scalar FERMI-PASTA-Ulam System on a 2D Square Lattice. - Dmitry Pelinovsky; Guido Schneider (SIAM J. Appl. Math., 2023)

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)

Pinning in the Extended Lugiato-Lefever Equation. - Lukas Bengel; Dmitry Pelinovsky; Wolfgang Reichel (SIAM J. Math. Anal., 2024)

Stability of Black Solitons in Optical Systems with Intensity-Dependent Dispersion. - Dmitry E. Pelinovsky; Michael Plum (SIAM J. Math. Anal., 2024)

Turing Bifurcation in the Swift-Hohenberg Equation on Deterministic and Random Graphs. - Georgi S. Medvedev; Dmitry E. Pelinovsky (J. Nonlinear Sci., 2024)

Peaked Stokes waves as solutions of Babenko's equation. - Spencer Locke; Dmitry E. Pelinovsky (Appl. Math. Lett., 2025)

On the Existence of Generalized Breathers and Transition Fronts in Time-Periodic Nonlinear Lattices. - Christopher Chong; Dmitry E. Pelinovsky; Guido Schneider (SIAM J. Appl. Dyn. Syst., 2025)