96 citations · 197 across the 12 of their papers we have counts for
3 papers · 1 filter
Dynamic behavior of the roots of the Taylor polynomials of the Riemann xi function with growing degree
Robert Jenkins, Ken D. T. -R. McLaughlin
We establish a uniform approximation result for the Taylor polynomials of the xi function of Riemann which is valid in the entire complex plane as the degree grows. In particular,…
Semiclassical soliton ensembles for the three-wave resonant interaction equations
Robert J. Buckingham, Robert M. Jenkins, Peter D. Miller
The three-wave resonant interaction equations are a non-dispersive system of partial differential equations with quadratic coupling describing the time evolution of the complex amp…
Long Time Asymptotic Behavior of the Focusing Nonlinear Schrodinger Equation
Michael Borghese, Robert Jenkins, Kenneth D. T. -R. McLaughlin
We study the Cauchy problem for the focusing nonlinear Schrodinger (NLS) equation. Using the DBAR generalization of the nonlinear steepest descent method we compute the long time a…