Dmitry Pelinovsky
Dmitry Pelinovsky
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Cited by
Self-focusing and transverse instabilities of solitary waves
YS Kivshar, DE Pelinovsky
Physics Reports 331 (4), 117-195, 2000
Vibrations and oscillatory instabilities of gap solitons
IV Barashenkov, DE Pelinovsky, EV Zemlyanaya
Physical review letters 80 (23), 5117, 1998
Internal modes of solitary waves
YS Kivshar, DE Pelinovsky, T Cretegny, M Peyrard
Physical review letters 80 (23), 5032, 1998
Self-focusing of plane dark solitons in nonlinear defocusing media
DE Pelinovsky, YA Stepanyants, YS Kivshar
Physical Review E 51 (5), 5016, 1995
Matter-wave bright solitons in spin-orbit coupled Bose-Einstein condensates
V Achilleos, DJ Frantzeskakis, PG Kevrekidis, DE Pelinovsky
Physical review letters 110 (26), 264101, 2013
Instability of solitons governed by quadratic nonlinearities
DE Pelinovsky, AV Buryak, YS Kivshar
Physical review letters 75 (4), 591, 1995
Bifurcations and stability of gap solitons in periodic potentials
DE Pelinovsky, AA Sukhorukov, YS Kivshar
Physical Review E 70 (3), 036618, 2004
Localization in periodic potentials: from Schrödinger operators to the Gross–Pitaevskii equation
DE Pelinovsky
Cambridge University Press, 2011
Nonlinear theory of oscillating, decaying, and collapsing solitons in the generalized nonlinear Schrödinger equation
DE Pelinovsky, VV Afanasjev, YS Kivshar
Physical Review E 53 (2), 1940, 1996
Convergence of Petviashvili's iteration method for numerical approximation of stationary solutions of nonlinear wave equations
DE Pelinovsky, YA Stepanyants
SIAM Journal on Numerical Analysis 42 (3), 1110-1127, 2004
Stability of discrete solitons in nonlinear Schrödinger lattices
DE Pelinovsky, PG Kevrekidis, DJ Frantzeskakis
Physica D: Nonlinear Phenomena 212 (1-2), 1-19, 2005
Internal modes of envelope solitons
DE Pelinovsky, YS Kivshar, VV Afanasjev
Physica D: Nonlinear Phenomena 116 (1-2), 121-142, 1998
Wave group dynamics in weakly nonlinear long-wave models
R Grimshaw, D Pelinovsky, E Pelinovsky, T Talipova
Physica D: Nonlinear Phenomena 159 (1-2), 35-57, 2001
Persistence and stability of discrete vortices in nonlinear Schrödinger lattices
DE Pelinovsky, PG Kevrekidis, DJ Frantzeskakis
Physica D: Nonlinear Phenomena 212 (1-2), 20-53, 2005
Convergence of the Adomian decomposition method for initial‐value problems
A Abdelrazec, D Pelinovsky
Numerical Methods for Partial Differential Equations 27 (4), 749-766, 2011
Normal and anomalous scattering, formation and decay of bound states of two-dimensional solitons described by the Kadomtsev-Petviashvili equation
KA Gorshkov, DE Pelinovsky, YA Stepanyants
JETP 104, 2704-2720, 1993
Rogue periodic waves of the focusing nonlinear Schrödinger equation
J Chen, DE Pelinovsky
Proceedings of the Royal Society A: Mathematical, Physical and Engineering …, 2018
Spectra of positive and negative energies in the linearized NLS problem
S Cuccagna, D Pelinovsky, V Vougalter
Communications on Pure and Applied Mathematics: A Journal Issued by the …, 2005
Generation of large-amplitude solitons in the extended Korteweg–de Vries equation
R Grimshaw, D Pelinovsky, E Pelinovsky, A Slunyaev
Chaos: An Interdisciplinary Journal of Nonlinear Science 12 (4), 1070-1076, 2002
Averaging for solitons with nonlinearity management
DE Pelinovsky, PG Kevrekidis, DJ Frantzeskakis
Physical review letters 91 (24), 240201, 2003
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