Ross Parker
Ross Parker
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Recent & Upcoming Talks
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
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
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