|My work focuses on the application of
techniques from nonlinear analysis to understand the behavior of
evolution equations, particularly those arising in optics and
biology. The mathematical core of this work is the development of
asymptotic theories, examination of well posedness, and demonstration
of the existence and stability of solitary wave solutions for the
| Recent Talks
- J. Moeser, N. A. Wolchover, F. G. Omenetto, Initial dynamics of supercontinuum generation in highly nonlinear photonic crystal fiber, to appear in Optics Letters
- J. Moeser, Diffraction Managed
excitation thresholds, Nonlinearity,
Volume 18, p. 2275-2297, 2005.
- M. Kunze, J.
states for the higher
order dispersion managed NLS equation
in the absence of average dispersion, Journal of Differential
Equations, Volume 209, Issue 1, p. 77-
- J. Moeser, Ground states for
Schr¨odinger-type equations with
nonlocal nonlinearity, Nonlinear Analysis,
Volume 60, Issue 6, p. 1163-1182, 2005.
- M.J. Ablowitz and J. Moeser,
Dispersion management for randomly
varying optical fibers, Optics Letters,
Volume 29, Issue 8, p. 821-823, 2004.
- J. Moeser,
C.K.R.T. Jones, V. Zharnitsky, Stable pulse solutions for
the nonlinear Schr¨odinger equation
with higher order dispersion management, SIAM Journal on Mathematical
Number 6, p. 1486-1511, 2004.
- J. Moeser, I.
Gabitov, C.K.R.T. Jones, Pulse stabilization by high
order dispersion management, Optics
Letters, Volume 27, Issue 24, p. 2206-2208, 2002.
Chertkov, I. Gabitov, P. Lushnikov, J. Moeser, Z. Toroczkai,
Pinning method of pulse confinement
in optical fibers with random dispersion, Journal of the Optical
Society of America B (JOSAB),
Volume 19, Issue 11, p. 2538-2550, 2002.
- M. Chertkov, I. Gabitov, J.
Moeser, Optical pulse propagation in
optical fibers with random dispersion,
in Nonlinearity and Disorder, Kluwer Academic Press, p. 19-26, 2001.
Chertkov, I. Gabitov, J. Moeser, Pulse
confinement in optical
fibers with random dispersion, Proceedings
of the National Academy of Sciences USA, Volume 98, Issue 25, p.