Higher Order Modulation Equations for a Boussinesq Equation. - C. Eugene Wayne; J. Douglas Wright (SIAM J. Appl. Dyn. Syst., 2002)

Existence and Stability of Traveling Pulses in a Continuous Neuronal Network. - David J. Pinto; Russell K. Jackson; C. Eugene Wayne (SIAM J. Appl. Dyn. Syst., 2005)

Long Tails in the Long-Time Asymptotics of Quasi-Linear Hyperbolic-Parabolic Systems of Conservation Laws. - Guillaume van Baalen; Nikola Popovic; C. Eugene Wayne (SIAM J. Math. Anal., 2008)

Using Global Invariant Manifolds to Understand Metastability in the Burgers Equation With Small Viscosity. - Margaret Beck; C. Eugene Wayne (SIAM J. Appl. Dyn. Syst., 2009)

Generalized Helmholtz-Kirchhoff Model for Two-Dimensional Distributed Vortex Motion. - Raymond J. Nagem; Guido V. H. Sandri; David Uminsky 001; C. Eugene Wayne (SIAM J. Appl. Dyn. Syst., 2009)

A multi-moment vortex method for 2D viscous fluids. - David Uminsky 001; C. Eugene Wayne; Alethea B. T. Barbaro (J. Comput. Phys., 2012)

Relative Equilibria of the (1+N)-Vortex Problem. - Anna M. Barry; Glen R. Hall; C. Eugene Wayne (J. Nonlinear Sci., 2012)

A Biologically Constrained, Mathematical Model of Cortical Wave Propagation Preceding Seizure Termination. - Laura R. González-Ramírez; Omar J. Ahmed; Sydney S. Cash; C. Eugene Wayne; Mark A. Kramer (PLoS Comput. Biol., 2015)

An Explanation of Metastability in the Viscous Burgers Equation with Periodic Boundary Conditions via a Spectral Analysis. - Kelly McQuighan; C. Eugene Wayne (SIAM J. Appl. Dyn. Syst., 2016)

Critical Points of Strichartz Functional. - C. Eugene Wayne; Vadim Zharnitsky (Exp. Math., 2021)