- Justification of coupled-mode equations for optical lattices
- Instability analysis of internal solitary waves in a nearly uniformly stratified fluid
- DISCRETE AND CONTINUOUS doi:10.3934/dcdss.2011.4.1019 DYNAMICAL SYSTEMS SERIES S
- Hamiltonian averaging for solitons with nonlinearity management D. E. Pelinovsky,1
- Solitons in nonintegrable systems Roger H. J. Grimshaw
- Stability analysis of embedded solitons in the generalized third-order nonlinear Schrdinger equation
- Existence, stability and properties of dark solitons
- Dark solitons in external potentials Dmitry Pelinovsky
- Effects of rotation on stability of viscous stationary flows on a spherical Ranis N. Ibragimov1
- Physica D 116 (1998) 121142 Internal modes of envelope solitons
- Applicable Analysis Vol. 89, No. 9, September 2010, 13351350
- Journal of Mathematical Sciences, Vol. 151, No. 4, 2008 MULTI-COMPONENT VORTEX SOLUTIONS
- PARAMETRIC RESONANCE AND RADIATIVE DECAY OF DISPERSION-MANAGED SOLITONS
- Stable vortex and dipole vector solitons in a saturable nonlinear medium Jianke Yang1
- INSTITUTE OF PHYSICS PUBLISHING JOURNAL OF PHYSICS D: APPLIED PHYSICS J. Phys. D: Appl. Phys. 35 (2002) 29882993 PII: S0022-3727(02)39835-8
- Inverse Problems 16 (2000) 5974. Printed in the UK PII: S0266-5611(00)05919-0 Spectral decomposition for the Dirac system associated to the
- Physica D 152153 (2001) 189198 Interaction of lumps with a line soliton for the DSII equation
- Coupled-mode equations and gap solitons in two dimensions
- Ground and excited states in a parabolic trap Dmitry Pelinovsky
- 17 September 1998 Z .Physics Letters B 436 1998 117124
- Generation of soliton oscillations in nonlinear quadratic materials D. E. Pelinovsky,1
- Averaging of nonlinearity-managed pulses Vadim Zharnitskya
- Rational solutions of the Kadomtsev-Petviashvili hierarchy and the dynamics of their poles. I. New form
- A spectral transform for the intermediate nonlinear Schrodinger equation
- Broad Band Solitons in a Periodic and Nonlinear Maxwell System
- Iteration method for nonlinear wave equations
- Numerical Method #2 Instead of using the Fourier space for
- Short-pulse equation: well-posedness and wave breaking Dmitry Pelinovsky
- Stability of incompressible viscous fluid flows in a thin spherical shell
- On the spectral theory and dispersive estimates for a discrete Schrdinger equation in one dimension
- INSTITUTE OF PHYSICS PUBLISHING JOURNAL OF PHYSICS A: MATHEMATICAL AND GENERAL J. Phys. A: Math. Gen. 39 (2006) 479488 doi:10.1088/0305-4470/39/3/002
- Physica D 202 (2005) 1636 Bifurcations of travelling wave solutions in the
- SPECTRAL STABILITY OF NONLINEAR WAVES IN DYNAMICAL SYSTEMS
- Instabilities of dispersion-managed solitons in the normal dispersion regime Dmitry E. Pelinovsky*
- Physica D 212 (2005) 119 www.elsevier.com/locate/physd
- 10.1098/rspa.2001.0916 A normal form for nonlinear resonance
- Modeling of low-contrast photonic crystals with
- Periodic oscillations of dark solitons in parabolic potentials
- MATHEMATICAL METHODS IN THE APPLIED SCIENCES Math. Meth. Appl. Sci. 2008; 31:17391760
- Rational solutions of the KP hierarchy and the dynamics of their poles. II. Construction of the degenerate
- MODELING OF LOW-CONTRAST PHOTONIC CRYSTALS WITH COUPLED-MODE EQUATIONS
- Commun. Math. Phys. 208, 713 760 (2000) Communications in Mathematical
- CONVERGENCE OF PETVIASHVILI'S ITERATION METHOD FOR NUMERICAL APPROXIMATION OF STATIONARY SOLUTIONS OF
- . .. . , 60-.. . 2005. .14.
- Z. angew. Math. Phys. 59 (2008) 559599 0044-2275/08/040559-41
- Transverse instabilities of deep-water solitons
- FIELDS INSTITUTE Research in Mathematical Sciences | FIELDSNOTES 3 Group supervisors came from the principle sponsoring universities and
- Advection-diffusion equations with forward-backward diffusion
- Excited states in a parabolic trap Matthew Coles1
- DOI: 10.1007/s00332-005-0652-7 J. Nonlinear Sci. Vol. 16: pp. 144 (2006)
- PHYSICS 4P06 M A T T C O L E S
- Vortices in a harmonic potential Dmitry Pelinovsky
- Asymptotic stability of solitons in the discrete nonlinear Schrdinger equations
- Transverse instabilities of deep-water solitary waves
- Travelling kinks in discrete Oliver Oxtoby (University of Cape Town)
- VOLUME 80, NUMBER 23 P H Y S I C A L R E V I E W L E T T E R S 8 JUNE 1998 Vibrations and Oscillatory Instabilities of Gap Solitons
- Numerical approximations of localized modes in periodic potentials James Brown
- SIAM J. APPL. MATH. c 2005 Society for Industrial and Applied Mathematics Vol. 65, No. 4, pp. 11011129
- Wave breaking in the OstrovskyHunter equation Dmitry Pelinovsky
- Eigenvalues of zero energy in the linearized NLS problem Vitali Vougaltera
- Asymptotic stability of discrete solitons Dmitry Pelinovsky
- Linear Algebra and its Applications 431 (2009) 962973 Contents lists available at ScienceDirect
- Proc. R. Soc. A (2005) 461, 783812 doi:10.1098/rspa.2004.1345
- Wave Motion 38 (2003) 110 On the exchange of energy in coupled KleinGordon equations
- INSTITUTE OF PHYSICS PUBLISHING JOURNAL OF PHYSICS A: MATHEMATICAL AND GENERAL J. Phys. A: Math. Gen. 36 (2003) 55575574 PII: S0305-4470(03)60017-X
- Wave Motion 36 (2002) 241255 Semi-stability of embedded solitons in the general
- ELSEVIER Physica D 80 (1995) 246-255 The structure of the rational solutions to the Boussinesq
- Formalism of . . . Periodic Boundary . . .
- INSTITUTE OF PHYSICS PUBLISHING NONLINEARITY Nonlinearity 19 (2006) 26952716 doi:10.1088/0951-7715/19/11/010
- Available online at www.sciencedirect.com Mathematics and Computers in Simulation 80 (2009) 794803
- 26 December1994 PhysicsLettersA 196 (1994) 181-186
- Symmetry-breaking bifurcations in a double-well potential
- J. Differential Equations 248 (2010) 837849 Contents lists available at ScienceDirect
- T. Mizumachi and D. Pelinovsky (2011) "L2-stability of NLS Solitons," International Mathematics Research Notices, rnr073, 34 pages.
- Persistence and stability of discrete vortices
- NUMERICAL MODELLING OF WAVEGUIDE INTERFACE
- Digital Object Identifier (DOI) 10.1007/s00220-008-0640-0 Commun. Math. Phys. 284, 803831 (2008)
- Translationally invariant discrete kinks from one-dimensional maps I. V. Barashenkov and O. F. Oxtoby
- Asymptotic behavior of regularized shock solutions in coating flows , M. Chugunova2
- IOP PUBLISHING JOURNAL OF PHYSICS A: MATHEMATICAL AND THEORETICAL J. Phys. A: Math. Theor. 41 (2008) 185206 (10pp) doi:10.1088/1751-8113/41/18/185206
- Three-dimensional gravity waves in a channel of variable depth Ranis N. Ibragimov 1
- On the ThomasFermi ground state in a harmonic potential
- Multi-component vortices in coupled NLS equations
- Breathers from infinity in the anti-continuum limit Guillaume James1
- Proceedings of the Steklov Institute of Mathematics, Suppl. 1, 2003, pp. S98S107. Translated from Trudy Instituta Matematiki i Mekhaniki UrO RAN, Vol. 9, No. 1, 2003.
- DOI: 10.1007/s00332-003-0527-3 J. Nonlinear Sci. Vol. 13: pp. 347396 (2003)
- Short-pulse equation: well-posedness and wave breaking Dmitry Pelinovsky
- WELL-POSEDNESS OF NONLINEAR WAVE EQUATIONS IN CHARACTERISTIC COORDINATES
- Bifurcations from the endpoints of the essential spectrum in the linearized nonlinear Schrdinger problem
- PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
- Feshbach resonance management of Bose-Einstein condensates in optical lattices Mason A. Porter
- IOP PUBLISHING NONLINEARITY Nonlinearity 21 (2008) 12651279 doi:10.1088/0951-7715/21/6/007
- INSTITUTE OF PHYSICS PUBLISHING NONLINEARITY Nonlinearity 19 (2006) 22772312 doi:10.1088/0951-7715/19/10/003
- Mathematics and Computers in Simulation 55 (2001) 585594 A mysterious threshold for transverse instability
- Physica D 236 (2007) 2243 www.elsevier.com/locate/physd
- All-optical Signal Processing Using Nonlinear Periodic Structures: A Study of Temporal Response
- Copyright by SIAM. Unauthorized reproduction of this article is prohibited. SIAM J. APPLIED DYNAMICAL SYSTEMS c 2008 Society for Industrial and Applied Mathematics
- Normal form for the symmetry-breaking bifurcation in the nonlinear Schrodinger equation
- ASYMPTOTIC STABILITY OF SMALL GAP SOLITONS IN THE NONLINEAR DIRAC EQUATIONS
- SIAM J. MATH. ANAL. c 2009 Society for Industrial and Applied Mathematics Vol. 41, No. 5, pp. 20102030
- Stability of incompressible viscous fluid flows in a thin spherical shell
- DISCRETE AND CONTINUOUS Website: http://aimSciences.org DYNAMICAL SYSTEMS SERIES B
- Translationally invariant NLS lattices
- J A M E S B R O W N S U P E R V I S O R : D R . D M I T R Y P E L I N O V S K Y
- On the asymptotic integrability of a higher-order evolution equation describing internal waves in a deep fluid
- Workshop on "Resonances in linear and nonlinear Schrodinger equations"
- Photonic crystals, coupled-mode equations, and gap solitons
- Optical Signal Processing using Nonlinear Periodic Lukasz Brzozowski
- Justification of tight-binding approximation for space-periodic problems
- INSTITUTE OF PHYSICS PUBLISHING JOURNAL OF PHYSICS A: MATHEMATICAL AND GENERAL J. Phys. A: Math. Gen. 38 (2005) 61296140 doi:10.1088/0305-4470/38/27/003
- Homogenization of the variable-speed wave equation Roger Grimshaw a,
- Recent progress on stability of solitary wave solutions
- Communications in Partial Differential Equations, 35: 613629, 2010 Copyright Taylor & Francis Group, LLC
- Convergence of the Adomian Decomposition Method for Initial-Value Problems
- Two-pulse solutions in the fifth-order KdV equation
- Symmetry-breaking bifurcation in the nonlinear Schrodinger equation with symmetric potentials
- SIAM J. APPLIED DYNAMICAL SYSTEMS c 2009 Society for Industrial and Applied Mathematics Vol. 8, No. 2, pp. 689709
- Justification of the DNLS equation for sign-varying nonlinearities
- ThomasFermi ground state in a parabolic trap Clement Gallo and Dmitry Pelinovsky
- Advection-diffusion equations with sign-varying diffusion for fluid flows
- Eigenvalues of nonlinear bound states in the ThomasFermi approximation
- Tight-binding approximation and nonlinear Schrodinger lattices
- Introduction Linear analysis Methods Melnikov Integrals Pseudo-Spectral method Conclusion Localized Travelling Waves in Nonlinear
- Periodic oscillations in the Gross-Pitaevskii equation with a parabolic potential
- Moving gap solitons in periodic Dmitry Pelinovsky
- Moving gap solitons in periodic Dmitry Pelinovsky
- Stationary and moving gap solitons in periodic potentials
- Dark solitons in external potentials Dmitry Pelinovsky
- Two-pulse solutions in the fifth-order KdV equation
- Nonlinearity management in time-periodic NLS systems
- Nonlinearity management in time-periodic NLS systems
- Traveling waves in nonlinear lattices Dmitry Pelinovsky (McMaster University, Canada)
- Oscillations of dark BEC solitons in a parabolic trap
- Persistence and stability of discrete vortices
- Persistence and stability of discrete vortices
- Spectrum of the linearized NLS problem Dmitry Pelinovsky
- Evans function for Lax operators with algebraic potentials
- J. Math. Anal. Appl. 355 (2009) 495526 Contents lists available at ScienceDirect
- J. math. fluid mech. 11 (2009) 6090 1422-6928/09/010060-31
- Physica D 240 (2011) 265281 Contents lists available at ScienceDirect
- SIAM J. APPLIED DYNAMICAL SYSTEMS c 2006 Society for Industrial and Applied Mathematics Vol. 5, No. 1, pp. 6683
- Count of eigenvalues in the generalized eigenvalue Marina Chugunova and Dmitry Pelinovskya
- J. Math. Anal. Appl. 342 (2008) 970988 www.elsevier.com/locate/jmaa
- Dynamics of PDE, Vol.6, No.4, 291-310, 2009 Wave breaking in the short-pulse equation
- SIAM J. MATH. ANAL. c 2010 Society for Industrial and Applied Mathematics Vol. 42, No. 5, pp. 19671985
- Physics 4P06 "Bifurcation of Bloch Waves in the
- IOP PUBLISHING NONLINEARITY Nonlinearity 23 (2010) 17531770 doi:10.1088/0951-7715/23/8/001
- Physica D 237 (2008) 339350 www.elsevier.com/locate/physd
- Coupled Mode Theory in Low-Contrast Nonlinear Photonic Jamin L. Sheriff
- Waveguiding in Photonic Crystals: An Envelope Approximation Using Multiple Scales Analysis
- On the asymptotic stability of localized modes in the discrete nonlinear Schrodinger equation
- Dmitry Efim PELINOVSKY Department of Mathematics phone: 1-905-525-9140, ext. 23424
- Prof. Efim Pelinovsky LIST OF PUBLICATIONS: (total 456)
- Physica D 216 (2006) 327345 www.elsevier.com/locate/physd
- J Dyn Diff Equat (2011) 23:167183 DOI 10.1007/s10884-010-9202-1
- Breather continuation from infinity in nonlinear oscillator chains
- IOP PUBLISHING NONLINEARITY Nonlinearity 24 (2011) 12711289 doi:10.1088/0951-7715/24/4/013
- Nonlinear Analysis 73 (2010) 26312643 Contents lists available at ScienceDirect
- PHYSICAL REVIEW A 81, 023627 (2010) Distribution of eigenfrequencies for oscillations of the ground state in the Thomas-Fermi limit
- J Nonlinear Sci (2009) 19: 95131 DOI 10.1007/s00332-008-9027-9
- UncorrectedProof Asymptotic Reductions
- DownloadedBy:[McMasterUniversityLibrary]At:21:0324September2007 Applicable Analysis
- SIAM J. MATH. ANAL. c 2007 Society for Industrial and Applied Mathematics Vol. 39, No. 1, pp. 133
- Discrete vector on-site vortices BY P. G. KEVREKIDIS
- INSTITUTE OF PHYSICS PUBLISHING NONLINEARITY Nonlinearity 19 (2006) 217235 doi:10.1088/0951-7715/19/1/011
- Spectra of Positive and Negative Energies in the Linearized NLS Problem
- Physica D 212 (2005) 2053 www.elsevier.com/locate/physd
- Oscillations of dark solitons in trapped Bose-Einstein condensates Dmitry E. Pelinovsky,1
- AVERAGING OF DISPERSION-MANAGED SOLITONS: EXISTENCE AND STABILITY
- Purely Nonlinear Instability of Standing Waves with Minimal Energy
- Averaging for Solitons with Nonlinearity Management D. E. Pelinovsky,1
- Generation of large-amplitude solitons in the extended Kortewegde Vries equation
- Physica D 159 (2001) 3557 Wave group dynamics in weakly nonlinear long-wave models
- SELF-FOCUSING AND TRANSVERSE INSTABILITIES OF SOLITARY WAVES
- Persistent oscillations of scalar and vector dispersion-managed solitons T. I. Lakobaa)
- Nonlinearity 12 (1999) 103140. Printed in the UK PII: S0951-7715(99)95148-4 Dynamics of the parametrically driven NLS solitons beyond
- Physica D 119 (1998) 301313 Radiative effects to the adiabatic dynamics of envelope-wave solitons
- J. Fluid Mech. (1998), vol. 354, pp. 209237. Printed in the United Kingdom c 1998 Cambridge University Press
- Bifurcations of new eigenvalues for the BenjaminOno Dmitry E. Pelinovsky and Catherine Sulem
- J. Phys. A: Math. Gen. 30 (1997) 87058717. Printed in the UK PII: S0305-4470(97)84529-5 On modified NLS, Kaup and NLBq equations: differential
- 9 October1995 PhysicsLettersA 206 (1995) 195-202
- Broad Band Solitons in the Periodic Nonlinear Maxwell Equations
- Internal modes of discrete solitons near the anti-continuum limit of the dNLS equation
- Loops of energy bands for Bloch waves in optical lattices
- Rigorous justification of the short-pulse equation Dmitry Pelinovsky1
- Multi-site breathers in KleinGordon lattices: stability, resonances, and bifurcations
- SIAM DS-11 Snowbird -May 23, 2011 Propagation Failure in the Discrete Nagumo Equation
- Multi-site breathers in Klein-Gordon lattices: bifurcations, stability, and resonances
- On the validity of the variational approximation in discrete nonlinear Schrodinger equations
- Global existence and wave breaking in the short-pulse and OstrovskyHunter equations
- Paradoxical transitions to instabilities in hydromagnetic Couette-Taylor flows Oleg N. Kirillov,1
- Backlund transformation -stability of NLS solitons
- POST-DOCTORAL POSITION IN MATHEMATICAL MODELLING AND SCIENTIFIC COMPUTING
- Applications are invited for the Britton Postdoctoral Fellowship in the Department of Mathematics and Statistics at McMaster University named after our former colleague
- Vortex families near a spectral edge in the Gross-Pitaevskii equation with a two-dimensional periodic potential
- "Postdoctoral fellowship in Equivariant Symplectic and Algebraic Geometry" Applications are invited for one postdoctoral fellowship position in the Department of
- Applications are invited for postdoctoral fellowship positions in the Department of Mathematics and Statistics at McMaster University. These fellowships provide
- Bifurcations of asymmetric vortices in symmetric harmonic traps
- Nonlinear Dirac equations in one spatial dimension Dmitry Pelinovsky
- Periodic Travelling Waves in Dimer Granular Chains Matthew Betti and Dmitry E. Pelinovsky
- Trapped vortices in the harmonic potentials Dmitry Pelinovsky
- Enstrophy growth in the viscous Burgers equation Dmitry Pelinovsky
- Justification of the short-pulse equation Dmitry Pelinovsky (McMaster) and Guido Schneider (Stuttgart)
- Multilevel computations of dispersed drug Wei Zhao and Dmitry E. Pelinovsky
