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
4232000
Vibrations and oscillatory instabilities of gap solitons
IV Barashenkov, DE Pelinovsky, EV Zemlyanaya
Physical review letters 80 (23), 5117, 1998
2871998
Internal modes of solitary waves
YS Kivshar, DE Pelinovsky, T Cretegny, M Peyrard
Physical review letters 80 (23), 5032, 1998
2231998
Instability of solitons governed by quadratic nonlinearities
DE Pelinovsky, AV Buryak, YS Kivshar
Physical review letters 75 (4), 591, 1995
1841995
Bifurcations and stability of gap solitons in periodic potentials
DE Pelinovsky, AA Sukhorukov, YS Kivshar
Physical Review E 70 (3), 036618, 2004
1732004
Stability of discrete solitons in nonlinear Schrödinger lattices
DE Pelinovsky, PG Kevrekidis, DJ Frantzeskakis
Physica D: Nonlinear Phenomena 212 (1-2), 1-19, 2005
1612005
Self-focusing of plane dark solitons in nonlinear defocusing media
DE Pelinovsky, YA Stepanyants, YS Kivshar
Physical Review E 51 (5), 5016, 1995
1581995
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
1571996
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
1412004
Localization in periodic potentials: from Schrödinger operators to the Gross–Pitaevskii equation
DE Pelinovsky
Cambridge University Press, 2011
1402011
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
1292013
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
1272005
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
1252001
Averaging for solitons with nonlinearity management
DE Pelinovsky, PG Kevrekidis, DJ Frantzeskakis
Physical review letters 91 (24), 240201, 2003
1132003
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
1092005
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
1052011
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
932002
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
902003
Instability-induced dynamics of dark solitons
DE Pelinovsky, YS Kivshar, VV Afanasjev
Physical Review E 54 (2), 2015, 1996
851996
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