Modeling in nonlinear and photonic optics



Invited papers:
abstract downloaddownload 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)]
abstract download 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)
abstract download Yu.S. Kivshar and D.E. Pelinovsky, Self-Focusing and Transverse Instabilities of Solitary Waves, Phys. Rep. 331, 117-195 (2000)





Regular articles:
abstract download D. Pelinovsky and Y. Shimabukuro Transverse instability of line solitary waves in massive Dirac equations, Journal of Nonlinear Science 26, 365-403 (2016)
abstract download 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)
abstract download T. Dohnal and D. Pelinovsky, Surface gap solitons at a nonlinearity interface, SIAM Journal of Applied Dynamical Systems, 7, 249-264 (2008)
abstract download 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)
abstract download D. Agueev and D. Pelinovsky, Modeling of wave resonances in low-contrast photonic crystals, SIAM J. Appl. Math. 65 1101-1129 (2005)
abstract download 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)
abstract download D.E. Pelinovsky and A. Scheel, Spectral Analysis of Stationary Light Transmission in Nonlinear Photonic Structures, J. Nonlin. Sci. 13 347-396 (2003)
abstract download 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).
abstract download J. Yang and D.E. Pelinovsky, Stable Vortex and Dipole Vector Solitons in a Saturable Nonlinear Medium, Phys. Rev. E 67 016608 (2003)
abstract download 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)
abstract download 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)
abstract download 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)
abstract download 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)
abstract download D. Pelinovsky, L. Brzozowski, and E.H. Sargent, Transmission Regimes of Periodic Nonlinear Optical Structures, Phys. Rev. E 62, R4536-R4539 (2000)
abstract download D.E. Pelinovsky and Yu.S. Kivshar, Stability Criterion for Multi-Component Solitary Waves, Phys. Rev. E 62, 8668-8676 (2000)
abstract download D.E. Pelinovsky and J. Yang, Internal Oscillations and Radiative Damping of Vector Solitons, Stud. Appl. Math. 105, 245-276 (2000)
abstract download D.E. Pelinovsky, J.E. Sipe, and J. Yang, Generation of Soliton Oscillation in Nonlinear Quadratic Materials, Phys. Rev. E 59, 7250-7253 (1999)
abstract download 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)
abstract download D. Pelinovsky, Radiative Effects to the Adiabatic Dynamics of Envelope-Wave Solitons, Physica D 119, 301-320 (1998)
abstract download D.E. Pelinovsky, Yu.S. Kivshar, and V.V. Afanasjev, Internal Modes of Envelope Solitons, Physica D 116, 121-142 (1998)
abstract download I.V. Barashenkov, D.E. Pelinovsky, and E.V. Zemlyanaya, Vibrations and Oscillatory Instabilities of Gap Solitons, Phys. Rev. Lett. 80, 5117-5120 (1998)
abstract download Yu.S. Kivshar, D.E. Pelinovsky, T. Cretegny, and M. Peyrard, Internal Modes of Solitary Waves, Phys. Rev. Lett. 80, 5031-5035 (1998)
abstract download 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)
abstract download D.E. Pelinovsky, Yu.S. Kivshar, and V.V. Afanasjev, Instability-Induced Dynamics of Dark Solitons, Phys.Rev.E 54, 2015-2032 (1996)
abstract download D.E.Pelinovsky, A.V.Buryak, and Yu.S.Kivshar, Instability of Solitons Governed by Quadratic Nonlinearities, Phys.Rev.Lett. 75, 591-595 (1995)
abstract download 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)





Proceedings papers:
abstract
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)
no abstract
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)