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Invited papers: |
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A.S. Desyatnikov, D.E. Pelinovsky, and Jianke Yang,
Multi-component vortex solutions in symmetric coupled NLS equations,
Journal of Mathematical Sciences 151,
3091-3111 (2008) [Russian edition:
Fundamental'naya i Prikladnaya Matematika (Fundamental and Applied Mathematics)
12, 35-63 (2006)]
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J.R. Salgueiro, Yu.S. Kivshar, D.E. Pelinovsky, V. Simon, and H. Michinel,
Spatial vector solitons in nonlinear photonic crystal fibers,
Stud. Appl. Math. 115 157-171 (2005)
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Yu.S. Kivshar and D.E. Pelinovsky,
Self-Focusing and Transverse Instabilities
of Solitary Waves,
Phys. Rep.
331,
117-195
(2000)
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Regular articles: |
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L. Bengel, D. Pelinovsky, and W. Reichel,
Pinning in the extended Lugiato-Lefever equation,
SIAM J. Math. Anal. 56
(2024) 3679-3702
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D.E. Pelinovsky and M. Plum,
Dynamics of black solitons in a regularized nonlinear Schrodinger equation,
Proceeding AMS 152 (2024) 1217-1231
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D.E. Pelinovsky and M. Plum,
Stability of black solitons in optical systems with intensity-dependent dispersion,
SIAM J. Math. Anal. 56 (2024) 2521-2568
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R.M. Ross, P.G. Kevrekidis, and D.E. Pelinovsky,
Localization in optical systems with an intensity-dependent dispersion,
Quarterly in Applied Mathematics 79 641-665
(2021)
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D.E. Pelinovsky, R.M. Ross, and P.G. Kevrekidis,
Solitary waves with intensity-dependent dispersion: variational characterization,
J. Phys. A: Math. Theor. 54 445701 (15 pages)
(2021)
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D. Pelinovsky and Y. Shimabukuro
Transverse instability of line solitary waves in massive Dirac equations,
Journal of Nonlinear Science 26, 365-403
(2016)
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D.E. Pelinovsky, G. Simpson, and M.I. Weinstein,
Polychromatic solitons in a periodic and nonlinear Maxwell system,
SIAM Journal of Applied Dynamical Systems 11, 478-506
(2012)
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T. Dohnal and D. Pelinovsky,
Surface gap solitons at a nonlinearity interface,
SIAM Journal of Applied Dynamical Systems, 7,
249-264 (2008)
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A.A. Sukhorukov, A.V. Lavrinenko,
D.N. Chigrin, D.E. Pelinovsky, and Yu.S. Kivshar,
Shaping slow-light pulses in coupled periodic
waveguides,
Journal of Optical Society of America B, 25,
C65-C74 (2008)
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D. Agueev and D. Pelinovsky,
Modeling of wave resonances in low-contrast photonic crystals,
SIAM J. Appl. Math. 65 1101-1129
(2005)
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D.E. Pelinovsky, A.A. Sukhorukov, and Yu. S. Kivshar,
Bifurcations and stability of gap solitons in periodic potentials,
Phys. Rev. E
70 036618 (2004)
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D.E. Pelinovsky and A. Scheel,
Spectral Analysis of Stationary Light
Transmission in Nonlinear Photonic Structures,
J. Nonlin. Sci.
13 347-396 (2003)
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W.N. Ye, L. Brzozowski, E.H. Sargent,
and D. Pelinovsky,
Stable All-Optical Limiting in Nonlinear Periodic
Structures. III. Non-Solitonic Pulse Propagation,
J. Opt. Soc. Am. B
20, 695-705 (2003).
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J. Yang and D.E. Pelinovsky,
Stable Vortex and Dipole Vector Solitons in a Saturable Nonlinear Medium, Phys. Rev. E
67 016608 (2003)
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A. Shik, H.E. Ruda, D.E. Pelinovsky, and W. Craig,
Depletion Layers and Contact Capacitance in
Non-Uniformly Doped Semiconductors, J. Phys. D: Appl. Phys.
35, 2988-2993 (2002)
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D. Pelinovsky and E.H. Sargent,
Stable All-Optical Limiting in Nonlinear Periodic
Structures. II. Computations, J. Opt. Soc. Am. B
19, 1873-1889 (2002)
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D.E. Pelinovsky, J. Sears, L. Brzozowski, and
E.H. Sargent,
Stable All-Optical Limiting in Nonlinear Periodic
Structures. I: Analysis, J. Opt. Soc. Am. B
19, 43-53
(2002)
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D. Neshev, W. Krolikowski, D.E. Pelinovsky,
G. McCarthy, and Yu.S. Kivshar,
Transverse Instability of Vector Solitons and
Generation of Dipole Arrays, Phys. Rev. Lett.
87, 103903
(2001)
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D. Pelinovsky, L. Brzozowski, and E.H. Sargent,
Transmission Regimes of Periodic Nonlinear Optical Structures,
Phys. Rev. E 62, R4536-R4539
(2000)
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D.E. Pelinovsky and Yu.S. Kivshar,
Stability Criterion for Multi-Component Solitary Waves,
Phys. Rev. E 62, 8668-8676
(2000)
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D.E. Pelinovsky and J. Yang,
Internal Oscillations and
Radiative Damping of Vector Solitons,
Stud. Appl. Math. 105, 245-276
(2000)
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D.E. Pelinovsky, J.E. Sipe, and J. Yang,
Generation of Soliton Oscillation in Nonlinear
Quadratic Materials,
Phys. Rev. E 59, 7250-7253
(1999)
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N.V. Alexeeva, I.V. Barashenkov, and
D.E. Pelinovsky,
Dynamics of the parametrically
driven NLS solitons beyond the onset of the oscillatory
instability, Nonlinearity
12, 103-140
(1999)
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D. Pelinovsky,
Radiative Effects to the Adiabatic Dynamics
of Envelope-Wave Solitons, Physica D
119, 301-320
(1998)
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D.E. Pelinovsky, Yu.S. Kivshar, and
V.V. Afanasjev,
Internal Modes of Envelope Solitons,
Physica D 116, 121-142
(1998)
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I.V. Barashenkov, D.E. Pelinovsky,
and E.V. Zemlyanaya,
Vibrations and Oscillatory Instabilities
of Gap Solitons,
Phys. Rev. Lett. 80,
5117-5120 (1998)
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Yu.S. Kivshar, D.E. Pelinovsky, T. Cretegny,
and M. Peyrard,
Internal Modes of Solitary Waves,
Phys. Rev. Lett. 80,
5031-5035 (1998)
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D.E. Pelinovsky, V.V. Afanasjev, and
Yu.S. Kivshar,
Nonlinear Theory of Oscillating, Decaying,
and Collapsing Solitons in the Generalized Nonlinear
Schrodinger Equation,
Phys.Rev.E. 53, 1940-1953
(1996)
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D.E. Pelinovsky, Yu.S. Kivshar, and
V.V. Afanasjev,
Instability-Induced Dynamics of Dark
Solitons, Phys.Rev.E 54,
2015-2032 (1996)
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D.E.Pelinovsky, A.V.Buryak, and
Yu.S.Kivshar,
Instability of Solitons Governed
by Quadratic Nonlinearities,
Phys.Rev.Lett. 75,
591-595 (1995)
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D.E. Pelinovsky, Yu.A. Stepanyants and
Yu.S. Kivshar, Self-Focusing of
Plane Dark Solitons in Nonlinear Defocusing Media,
Phys. Rev. E 51, 5016-5026
(1995)
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Proceedings papers: |
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N.V. Alexeeva, I.V. Barashenkov, and D.E. Pelinovsky,
Oscillatory Instability and Supercritical Dynamics of Damped-Driven
Nonlinear Schrödinger Solitons,
Proceedings of the Workshop on Nonlinearity, Integrability and
All That: Twenty Years after NEEDS '79 (Gallipoli, 1999),
World Sci. Publishing, River Edge, NJ, 359-366
(2000)
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Y.S. Kivshar, D.E. Pelinovsky, V.V. Afanasjev, and A.V. Buryak,
Nonlinear Theory of Soliton
Instabilities, Physics and Applications of
Optical Solitons in Fibers '95,
edited by A. Hasegawa,
(Kluwer Academic Publishers),
pp. 75-87 (1996)
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