* Resonances, Radiation Damping, and Instability of
Hamiltonian Nonlinear Waves
(with A. Soffer)
Inventiones Mathematicae ,
Volume 136 (1999) 9-74.
* Nonautonomous Hamiltonians
(with A. Soffer)
Journal of Statistical Physics,
Volume 93, (1998) 524-545.
* Time Dependent Resonance Theory
(with A. Soffer)
Geometrical and Functional Analysis,
Volume 8, (1998) 1086-1128.
* Excitation Thresholds for Nonlinear Localized Modes on Lattices
Nonlinearity Volume 12 (1999) 673-691.
* Ionization and Scattering for Short Lived Potentials
(with A. Soffer)
Letters in Mathematical Physics Volume 48 (1999) 339-352
* Radiation induced instability in interconnected systems
(with A. Bloch and P. Hagerty)
Proc. of the 38th
Conf. on Decisions and Control, IEEE
* Metastability of Breather Modes of Time Dependent Potentials (pdf)
(with P.D. Miller and A. Soffer)
Nonlinearity Volume 13 (2000) 507-568.
* Dynamics of lattice kinks
(with P. Kevrekidis)
Physica D Volume 142 (2000) 113-152.
* Breathers on a Background: Periodic and Quasiperiodic Solutions of Extended
Discrete Nonlinear Wave Systems
(with P. Kevrekidis)
to appear in the Special Issue of Mathematics and Computers
in Simulation dedicated to the 2nd IMACS Nonlinear Waves Conference
* Parametrically excited Hamiltonian Partial Differential
Equations
(with E. Kirr)
SIAM J. Math. Anal. Volume 33 (2001) 16-52.
* Nonlinear propagation of light in one-dimensional periodic structures
(with R. Goodman and P. Holmes)
J. Nonlinear Sci. Volume 11 (2001) 123-168.
* Theory of nonlinear pulse propagation periodic structures
(with A. Aceves and C.M. de Sterke)
Nonlinear Photonic Crystals,
B. Eggleton and
R.E. Slusher, eds. Springer Verlag
* Mathematical Frontiers in Optical Solitons (pdf)
* Stopping light on a defect (pdf)
*
Interaction of sine-Gordon kinks with defects:
Phase space transport in a two-mode model
* Metastable states in parametrically excited multimode Hamiltonian systems
* Selection of the ground state for nonlinear Schroedinger equations
* Radiation induced instability
*
Interaction of NLS solitons with defects: Numerical experiments and
finite dimensional modeling
*
Homogenization expansion for resonances of microstructured photonic waveguides
*
Gyroscopically stabilized classical and quantum oscillators and heat baths
*
Resonances of microstructured photonic waveguides and
higher order homogenization expansion
*
Theory and computation of scattering resonances of microstuctures
*
Strong NLS Soliton-Defect Interactions
*
A reaction dispersion system and Raman interactions
*
Scattering resonances of microstructures and homogenization theory
*
Diffusion of power in randomly
perturbed Hamiltonian partial differential equations
*
Geometric analysis of bifurcation and symmetry breaking in a Gross-Pitaevskii
Equation
*
Extended Hamiltonian Systems
*
Spontaneous Symmetry Breaking in Photonic Lattices: Theory and Experiment
*
Wave dynamics in optically modulated waveguide arrays
*
Transient radiative behavior of Hamiltonian systems in finite domains
*
Bound states of nonlinear Schr\"odinger equations with periodic
nonlinear microstructure
*
Theory of nonlinear dispersive waves and selection of the ground state
*
Waves in nonlinear microstructures - Ultra-short pulses and Bose-Einstein
Condensates
*
Degenerate dispersive equations arising in the study of magma dynamics
*
Resonance Problems in Photonics
*
Symmetry breaking in the nonlinear Schroedinger / Gross-Pitaevskii equation
*
Cloaking via Change of Variables in Electric Impedance Tomography
*
Optimization of scattering resonances
* Asymptotic stability of ascending solitary magma waves
On a Hamiltonian PDE arising in magma dynamics
*
Stability and instability of nonlinear defect states in coupled mode equations--
analytical and numerical study
*
Qualitative and quantitative analysis of stability and instability dynamics of p
ositive lattice solitons
Dynamics of Nonlinear Schr\"odinger \ Gross-Pitaevskii Equations;
A Multiscale Model of Partial Melts 1: Effective Equations
A Multiscale Model of Partial Melts 2: Numerical Results
Cloaking via change of variables for the Helmholtz equation
Band edge solitons, nonlinear Schroedinger - Gross Pitaevskii equation and effective media
Long time dynamics near the symmetry breaking bifurcation for nonlinear Schr\"od
inger / Gross-Pitaevskii equations
Radiative Decay of Bubble Oscillations in a Compressible Fluid
Defect modes and homogenization of periodic Schr\"odinger operators
Coherent structures and carrier shocks in the nonlinear periodic
Maxwell equations
(with J. Bronski and M. Segev)
Proc. Natl. Acad. Sci. USA
Volume 98 No. 23 (2001) 12872-12873.
Errata
(with R.H. Goodman and R.E. Slusher)
Journal of the Optical Society B Volume 19 No. 7 (2002) 1635-1652.
Errata (reference numbering)
(with R.H. Goodman and P.J. Holmes)
Physica D, Volume 161 (2002) 21-44
(with E. Kirr)
Commun. Math. Phys., Volume 236, 335-372 (2003)
(with A. Soffer)
Reviews in Mathematical Physics, Volume 16, #8, (2004) 977-1071
(with P. Hagerty and A.M. Bloch)
SIAM J. Appl. Math. Volume 64, No. 2 484--524 (2003)
(with P.J. Holmes and R.H. Goodman)
Invited paper for Mathematics as a Guide to the Understanding
of Applied Nonlinear Problems, a conference in honor of Klaus
Kirchg\"{a}ssner's 70th birthday, Kloster Irsee, Germany, Jan 6-10, 2002,
(with S. Golowich)
Journal of the Optical Society of America B, volume 20, No. 4, 633-647,
2003
(with A.M. Bloch, P. Hagerty and A.G. Rojo)
J. Stat. Phys, 115, 1073-1100 (2004)
(with S. Golowich)
Physica B, Volume 338 136-142 (2003)
(with S. Golowich)
Waves in Periodic and Random Media, ed. P. Kuchment,
Contemporary Mathematics volume 339
(2003) AMS
(with R.H. Goodman and P.J. Holmes)
Physica D 161, 21-44 (2004)
(with V. Zharnitsky)
SIAM J. Math. Anal. no. 6 1742--1771 (2005)
(with S. Golowich)
SIAM J. Multiscale Modeling and Simulation, volume 3 No.3 (2005)
(with E. Kirr)
Commun. Math. Phys. volume 255, 293-328 (2005)
(with R.K. Jackson)
J. Stat. Physics volume 116, 881-905 (2004)
in Handbook of Dynamical Systems,
eds. B. Hasselblatt and A. Katok,
volume 1B, North Holland, 2005
(with P.G. Kevrekidis, Z. Chen, B.A. Malomed and D.J. Frantzeskakis)
Phys. Lett. A volume 340 (2005) 275-280
(with M. Ablowitz, K. Julien and Z. Musslimani)
Phys. Rev. E volume 71 (2005) 055602(R)
(with P.G. Kevrekidis and Z. Rapti)
Phys. Lett. A volume 345 (2005) 1--9
(with G. Fibich and Y. Sivan)
Physica D, Volume 217, no. 1, 31--57 (2006)
(with A. Soffer)
Physical Review Letters, Volume 95, 213905 (2005)
(with G. Fibich and Y. Sivan)
Physical Review Letters, Volume 97, 193902 (2006)
(with G. Simpson and M. Spiegelman)
Nonlinearity, Volume 20, 21--49 (2007)
Invited Review and Plenary Lecture at International Symposium on the Frontiers of Applied Mathematics,
Tsinghua University, Beijing, 2006,
in Frontiers in Applied Mathematics, World Scientific (2007)
(with E.W. Kirr, P. Kevrekides and E. Shlizerman)
SIAM J. Math. Anal. Volume 40, Issue 2, pp. 566-604 (2008)
(with R.V. Kohn, H. Shen, M.S. Vogelius and M.I. Weinstein)
Inverse Problems, Volume 24, 015016 (2008)
(with P. Heider, D. Berebichez and R.V. Kohn)
Structural and Multidisciplinary Optimization (2008) 36:443-456.
(with G. Simpson)
SIAM J. Math. Analysis Volume 40, Issue 4, pp. 1337-1391 (2008)
(with G. Simpson and P. Rosenau)
Discrete and Continuous Dynamical Systems - B, volume 10 (4), 2008
http://arxiv.org/abs/0801.0555
(with R.H. Goodman)
Physica D: Nonlinear Phenomena 237 (2008), pp. 2731-2760
DOI information: 10.1016/j.physd.2008.04.009
(with Y. Sivan, G. Fibich and B. Ilan)
Physical Review E Volume 78, No.4 (2008)
URL: http://link.aps.org/abstract/PRE/v78/e046602
DOI: 10.1103/PhysRevE.78.046602
Mass Transfer in Systems with Solitons and Degenerate Neutral Modes
(with Z. Gang)
Analysis and Partial Differential Equations, Volume 1, No. 3, 2008
(with G. Simpson and M. Spiegelman)
J. Geophys. Res., doi:10.1029/2009JB006375, in press.
(with G. Simpson and M. Spiegelman)
J. Geophys. Res., doi:10.1029/2009JB006376, in press.
(with R.V. Kohn, D. Onofrei and M. Vogelius),
Commun. Pure Appl. Math., 63, 973-1016 (2010)
(with B. Ilan) SIAM J. Multiscale Model. and Simul., 8, No. 4, 1055--1101
(2010)
(with J. Marzuola)
Discrete and Continuous Dynamical Systems, Volume 28, #4, 1505--1554 (2010)
(with A. Shaw-Krauss)
submitted, 2010
(with M. Hoefer)
submitted, 2010
p>
(with G. Simpson)
submitted, 2010