43 citations · 292 across the 26 of their papers we have counts for
5 papers · 1 filter
An infinite branching hierarchy of time-periodic solutions of the Benjamin-Ono equation
Jon Wilkening
We present a new representation of solutions of the Benjamin-Ono equation that are periodic in space and time. Up to an additive constant and a Galilean transformation, each of the…
Global paths of time-periodic solutions of the Benjamin-Ono equation connecting pairs of traveling waves
David M. Ambrose, Jon Wilkening
We classify all bifurcations from traveling waves to non-trivial time-periodic solutions of the Benjamin-Ono equation that are predicted by linearization. We use a spectrally accur…
A local construction of the Smith normal form of a matrix polynomial
Jon Wilkening, Jia Yu
We present an algorithm for computing a Smith form with multipliers of a regular matrix polynomial over a field. This algorithm differs from previous ones in that it computes a loc…
Variational Particle Schemes for the Porous Medium Equation and for the System of Isentropic Euler Equations
Michael Westdickenberg, Jon Wilkening
Both the porous medium equation and the system of isentropic Euler equations can be considered as steepest descents on suitable manifolds of probability measures in the framework o…
Computation of Time-Periodic Solutions of the Benjamin-Ono Equation
David M. Ambrose, Jon Wilkening
We present a spectrally accurate numerical method for finding non-trivial time-periodic solutions of non-linear partial differential equations. The method is based on minimizing a…