Christopher Chong

Contact

Institut für Analysis, Dynamik und Modellierung
Lehrstuhl für Analysis und Modellierung
Pfaffenwaldring 57
D-70569 Stuttgart
Germany

Telephone	+49-(0)711 / 685 - 69768
Fax	+49-(0)711 / 685 - 65535
Room	8.528
E-Mail:

Biography

Born:	November 1st, 1981
Birthplace:	Boston, MA, USA
Postdoctoral Fellow 10/09- present Adviser	Mathematics Universität Stuttgart, Stuttgart, Germany Prof. Dr. Guido Schneider
Ph.D. 09/06- 09/09 Adviser	Mathematics Universität Karlsruhe (TH), Karlsruhe, Germany Prof. Dr. Guido Schneider
M.S. 09/04-08/06 Adviser	Applied Mathematics with a concentration in nonlinear dynamical systems Nonlinear Dynamical Systems Group at San Diego State University, San Diego, CA, USA Prof. Dr. Ricardo Carretro
B.S. 09/00-05/04	Mathematics with a concentration in computer science University of New Hampshire, Durham, NH, USA

Research

I am a postdoctoral fellow at the Universität Stuttgart with Prof. Dr. Guido Schneider. My interests are mostly in nonlinear wave equations with applications in nanotechnology. I am former member of the GRK 1294: Analysis, Simulation and Design of Nanotechnological Processes which is a research group at the Universität Kalrsruhe where I obtained my PhD. Here is a list of my current research activities:

Justification of amplitude equations in quadratic media.
Numerical simulation of pulse interaction in nonlinear media.
Standing pulse solutions in nonlinear and periodic media.
Existence, stability, and dynamics of soliton solutions in nonlinear lattices.

Works in Progress

Variational approximations of bifurcations of asymmetric solitons in cubic-quintic nonlinear Schrödinger lattices.
C. Chong and D.E. Pelinovsky
DCDS-S, Submitted. Preprint.

Journal Publications

Standing generalized modulating pulse solutions for a nonlinear wave equation in periodic media.
V. Lescarret , C. Blank , M. Chirilus-Bruckner, C. Chong, and G. Schneider.
Nonlinearity 22 (2009) 1869-1898. Preprint.
Multistable solitons in higher-dimensional cubic-quintic nonlinear Schrödinger lattices.
C. Chong, R. Carretero-González, B.A. Malomed, and P.G. Kevrekidis.
Physica D 238 (2009) 126-136. PDF.
Separation of internal and interaction dynamics for NLS-described wave packets with different carrier waves.
M. Chirilus-Bruckner, C. Chong, G. Schneider, and H. Uecker.
J. Math. Anal. Appl. 347 (2008) 304-314. Preprint.

A remark about the justification of the nonlinear Schrödinger equation in quadratic spatially periodic media.
C. Blank , M. Chirilus-Bruckner, C. Chong, V. Lescarret , G. Schneider, and H. Uecker.
ZAMP 59 (2008) 1-4. PDF.

Multistable solitons of the cubic-quintic discrete nonlinear Schrödinger equation.
R. Carreterro-González, J.D. Talley, C. Chong, and B.A. Malomed.
Physica D 216 (2006) 77-89. PDF.

Proceedings

Interaction of well-prepared and non-well-prepared modulating pulses with different carrier waves.
Equadiff 2007, World Scientific (2007). Preprint.

Conference Presentations

Title	Conference	Date
Multistable soliton solutions in cubic-quintic nonlinear Schrödinger lattices	Nonlinear Waves and Coherent Structures. Rome, Italy	July '08
Interaction of well and non-well-prepared modulating pulses	Joint Mathematics Meetings San Diego, CA ,USA	January '08
Interaction of well and non-well-prepared modulating pulses	Equadiff07 Vienna, Austria	August '07

Software

Routines written in MATLAB that could be useful for others can be found here. Numerical integrators for a cubic nonlinear Klein-Gordon equation are now available.

University Stuttgart | University Karlsruhe | GRK 1294