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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
4802000
Vibrations and oscillatory instabilities of gap solitons
IV Barashenkov, DE Pelinovsky, EV Zemlyanaya
Physical review letters 80 (23), 5117, 1998
3091998
Internal modes of solitary waves
YS Kivshar, DE Pelinovsky, T Cretegny, M Peyrard
Physical review letters 80 (23), 5032, 1998
2421998
Instability of solitons governed by quadratic nonlinearities
DE Pelinovsky, AV Buryak, YS Kivshar
Physical review letters 75 (4), 591, 1995
1991995
Self-focusing of plane dark solitons in nonlinear defocusing media
DE Pelinovsky, YA Stepanyants, YS Kivshar
Physical Review E 51 (5), 5016, 1995
1931995
Bifurcations and stability of gap solitons in periodic potentials
DE Pelinovsky, AA Sukhorukov, YS Kivshar
Physical Review E 70 (3), 036618, 2004
1862004
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
1791996
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
1712013
Localization in periodic potentials: from Schrödinger operators to the Gross–Pitaevskii equation
DE Pelinovsky
Cambridge University Press, 2011
1712011
Stability of discrete solitons in nonlinear Schrödinger lattices
DE Pelinovsky, PG Kevrekidis, DJ Frantzeskakis
Physica D: Nonlinear Phenomena 212 (1-2), 1-19, 2005
1702005
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
1672004
Internal modes of envelope solitons
DE Pelinovsky, YS Kivshar, VV Afanasjev
Physica D: Nonlinear Phenomena 116 (1-2), 121-142, 1998
1561998
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
1352005
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
1342001
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
1272011
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
1232005
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
1182002
Averaging for solitons with nonlinearity management
DE Pelinovsky, PG Kevrekidis, DJ Frantzeskakis
Physical review letters 91 (24), 240201, 2003
1162003
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
1022003
Rogue periodic waves of the focusing nonlinear Schrödinger equation
J Chen, DE Pelinovsky
Proceedings of the Royal Society A: Mathematical, Physical and Engineering …, 2018
992018
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