Dmitry Pelinovsky
Dmitry Pelinovsky
Verified email at math.mcmaster.ca - Homepage
Title
Cited by
Cited by
Year
Self-focusing and transverse instabilities of solitary waves
YS Kivshar, DE Pelinovsky
Physics Reports 331 (4), 117-195, 2000
4402000
Vibrations and oscillatory instabilities of gap solitons
IV Barashenkov, DE Pelinovsky, EV Zemlyanaya
Physical review letters 80 (23), 5117, 1998
2941998
Internal modes of solitary waves
YS Kivshar, DE Pelinovsky, T Cretegny, M Peyrard
Physical review letters 80 (23), 5032, 1998
2271998
Instability of solitons governed by quadratic nonlinearities
DE Pelinovsky, AV Buryak, YS Kivshar
Physical review letters 75 (4), 591, 1995
1861995
Bifurcations and stability of gap solitons in periodic potentials
DE Pelinovsky, AA Sukhorukov, YS Kivshar
Physical Review E 70 (3), 036618, 2004
1792004
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
1641996
Self-focusing of plane dark solitons in nonlinear defocusing media
DE Pelinovsky, YA Stepanyants, YS Kivshar
Physical Review E 51 (5), 5016, 1995
1631995
Stability of discrete solitons in nonlinear Schrödinger lattices
DE Pelinovsky, PG Kevrekidis, DJ Frantzeskakis
Physica D: Nonlinear Phenomena 212 (1-2), 1-19, 2005
1592005
Localization in periodic potentials: from Schrödinger operators to the Gross–Pitaevskii equation
DE Pelinovsky
Cambridge University Press, 2011
1512011
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
1452004
Internal modes of envelope solitons
DE Pelinovsky, YS Kivshar, VV Afanasjev
Physica D: Nonlinear Phenomena 116 (1-2), 121-142, 1998
1391998
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
1382013
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
1292005
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
1282001
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
1132005
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
1112011
Averaging for solitons with nonlinearity management
DE Pelinovsky, PG Kevrekidis, DJ Frantzeskakis
Physical review letters 91 (24), 240201, 2003
1112003
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
1002002
Purely nonlinear instability of standing waves with minimal energy
A Comech, D Pelinovsky
Communications on Pure and Applied Mathematics: A Journal Issued by the …, 2003
942003
Instability-induced dynamics of dark solitons
DE Pelinovsky, YS Kivshar, VV Afanasjev
Physical Review E 54 (2), 2015, 1996
861996
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