Dmitry Pelinovsky

According to our database1, Dmitry Pelinovsky authored at least 32 papers between 2003 and 2021.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of four.

Timeline

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Bibliography

2021
Modulational Instability of Periodic Standing Waves in the Derivative NLS Equation.
J. Nonlinear Sci., 2021

2020
The monoatomic FPU system as a limit of a diatomic FPU system.
Appl. Math. Lett., 2020

2019
Convergence of Petviashvili's Method near Periodic Waves in the Fractional Korteweg-de Vries Equation.
SIAM J. Math. Anal., 2019

Linear Instability and Uniqueness of the Peaked Periodic Wave in the Reduced Ostrovsky Equation.
SIAM J. Math. Anal., 2019

Drift of Spectrally Stable Shifted States on Star Graphs.
SIAM J. Appl. Dyn. Syst., 2019

Periodic Travelling Waves of the Modified KdV Equation and Rogue Waves on the Periodic Background.
J. Nonlinear Sci., 2019

Nonexistence of self-similar blowup for the nonlinear Dirac equations in (1+1) dimensions.
Appl. Math. Lett., 2019

2018
Orbital Stability of Domain Walls in Coupled Gross-Pitaevskii Systems.
SIAM J. Math. Anal., 2018

2016
Breathers in Hamiltonian PT -Symmetric Chains of Coupled Pendula under a Resonant Periodic Force.
Symmetry, 2016

Self-Similar Solutions for Reversing Interfaces in the Slow Diffusion Equation with Strong Absorption.
SIAM J. Appl. Dyn. Syst., 2016

Transverse Instability of Line Solitary Waves in Massive Dirac Equations.
J. Nonlinear Sci., 2016

2015
Persistence of the Thomas-Fermi approximation for ground states of the Gross-Pitaevskii equation supported by the nonlinear confinement.
Appl. Math. Lett., 2015

2014
Justification of the log-KdV Equation in Granular Chains: The Case of Precompression.
SIAM J. Math. Anal., 2014

2013
Nonlinear Stationary States in PT-Symmetric Lattices.
SIAM J. Appl. Dyn. Syst., 2013

Periodic Traveling Waves in Diatomic Granular Chains.
J. Nonlinear Sci., 2013

2012
Polychromatic Solitary Waves in a Periodic and Nonlinear Maxwell System.
SIAM J. Appl. Dyn. Syst., 2012

2011
On the Thomas-Fermi ground state in a harmonic potential.
Asymptot. Anal., 2011

2010
Wave Breaking in the Ostrovsky-Hunter Equation.
SIAM J. Math. Anal., 2010

2009
Asymptotic Stability of Small Bound States in the Discrete Nonlinear Schrödinger Equation.
SIAM J. Math. Anal., 2009

Discrete Traveling Solitons in the Salerno Model.
SIAM J. Appl. Dyn. Syst., 2009

On the uniform convergence of the Chebyshev interpolants for solitons.
Math. Comput. Simul., 2009

Coupled-Mode Equations and Gap Solitons in a Two-Dimensional Nonlinear Elliptic Problem with a Separable Periodic Potential.
J. Nonlinear Sci., 2009

2008
Surface Gap Solitons at a Nonlinearity Interface.
SIAM J. Appl. Dyn. Syst., 2008

Kadomtsev-Petviashvili equation.
Scholarpedia, 2008

2007
Nonlinear Instability of a Critical Traveling Wave in the Generalized Korteweg-de Vries Equation.
SIAM J. Math. Anal., 2007

2006
Block-Diagonalization of the Symmetric First-Order Coupled-Mode System.
SIAM J. Appl. Dyn. Syst., 2006

Evans Function for Lax Operators with Algebraically Decaying Potentials.
J. Nonlinear Sci., 2006

2005
Modeling of Wave Resonances in Low-Contrast Photonic Crystals.
SIAM J. Appl. Math., 2005

2004
Convergence of Petviashvili's Iteration Method for Numerical Approximation of Stationary Solutions of Nonlinear Wave Equations.
SIAM J. Numer. Anal., 2004

Parametric Resonance and Radiative Decay of Dispersion-Managed Solitons.
SIAM J. Appl. Math., 2004

2003
Averaging of Dispersion-Managed Solitons: Existence and Stability.
SIAM J. Appl. Math., 2003

Stability Analysis of Stationary Light Transmission in Nonlinear Photonic Structures.
J. Nonlinear Sci., 2003


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