Ross Parker
Ross Parker
Home
Publications
Teaching
Talks
Code
Light
Dark
Automatic
Recent & Upcoming Talks
2022
Bright and dark multi-solitons in Hamiltonian systems
We consider the existence and spectral stability of multi-pulse solitary wave solutions in two Hamiltonian systems, a nonlinear …
Nov 11, 2022
University of Houston seminar on partial differential equations
Bright and Dark Multi-Solitons in a Fourth-Order Nonlinear Schrödinger Equation
We consider the existence and spectral stability of multi-pulse solitary wave solutions to a nonlinear Schrödinger equation which …
Sep 1, 2022
SIAM Conference on Nonlinear Waves and Coherent Structures (NWCS2022)
Multi-pulse solitary waves in Hamiltonian systems: theory and numerics
Solitary waves, localized disturbances that maintain their shape as they propagate at a constant velocity, have been an object of …
Apr 8, 2022
UT Dallas computational science seminar
2021
Standing Wave Solutions in Twisted Multicore Fibers
There has been much recent theoretical and experimental interest in light dynamics in twisted multi-core optical fibers. I consider the …
Nov 5, 2021
4th Annual Meeting of the SIAM Texas Louisiana Section
Periodic multi-pulses in Hamiltonian systems with symmetry
I look at multi-pulse solitary wave solutions to Hamiltonian systems which are translation invariant and reversible. The fifth order …
May 23, 2021
SIAM Conference on Applications of Dynamical Systems (DS21)
2020
Instability bubbles for multi-pulse solutions to Hamiltonian systems on a periodic domain
In this talk, I will look at multi-pulse solitary wave solutions to Hamiltonian systems which are translation invariant and reversible. …
Oct 18, 2020
3rd Annual Meeting of the SIAM Texas Louisiana Section
Multi-pulse solitary waves in Hamiltonian systems
Solitary waves, localized disturbances that maintain their shape as they propagate at a constant velocity, have been an object of …
Sep 24, 2020
SMU math colloquium
2019
Spectral stability of periodic multi-pulses in the 5th order KdV equation
The fifth-order Korteweg-de Vries equation (KdV5) is a nonlinear partial differential equation used to model dispersive phenomena such …
Sep 27, 2019
SIAM Conference on Applications of Dynamical Systems (DS19)
Spectral stability of multi-pulses via the Krein matrix
The Chen-Mckenna suspension bridge equation is a nonlinear PDE which is 2nd order in time and is used to model traveling waves on a …
Apr 17, 2019
IMACS Conference on Nonlinear Evolution Equations and Wave Phenomena
2018
Stability of double pulse solutions to the 5th order KdV equation
Feb 13, 2018
UMass Amherst applied mathematics colloquium
Cite
×