Nonlinear Stability of Periodic Traveling Wave Solutions of the Generalized Korteweg-de Vries Equation. - Mathew A. Johnson (SIAM J. Math. Anal., 2009)

Transverse Instability of Periodic Traveling Waves in the Generalized Kadomtsev-Petviashvili Equation. - Mathew A. Johnson; Kevin Zumbrun (SIAM J. Math. Anal., 2010)

Nonlinear Stability of Periodic Traveling-Wave Solutions of Viscous Conservation Laws in Dimensions One and Two. - Mathew A. Johnson; Kevin Zumbrun (SIAM J. Appl. Dyn. Syst., 2011)

Nonlinear Stability of Viscous Roll Waves. - Mathew A. Johnson; Kevin Zumbrun; Pascal Noble (SIAM J. Math. Anal., 2011)

Stability of periodic Kuramoto-Sivashinsky waves. - Blake Barker; Mathew A. Johnson; Pascal Noble; Luis Miguel Rodrigues; Kevin Zumbrun (Appl. Math. Lett., 2012)

Convergence of Hill's Method for Nonselfadjoint Operators. - Mathew A. Johnson; Kevin Zumbrun (SIAM J. Numer. Anal., 2012)

Stability of Small Periodic Waves in Fractional KdV-Type Equations. - Mathew A. Johnson (SIAM J. Math. Anal., 2013)

Stability of Periodic Traveling Waves for Nonlinear Dispersive Equations. - Vera Mikyoung Hur; Mathew A. Johnson (SIAM J. Math. Anal., 2015)

Stability of Viscous St. Venant Roll Waves: From Onset to Infinite Froude Number Limit. - Blake Barker; Mathew A. Johnson; Pascal Noble; Luis Miguel Rodrigues; Kevin Zumbrun (J. Nonlinear Sci., 2017)

Modulational Instability of Viscous Fluid Conduit Periodic Waves. - Mathew A. Johnson; Wesley R. Perkins (SIAM J. Math. Anal., 2020)

Modulational Instability in the Ostrovsky Equation and Related Models. - Bhavna; Mathew A. Johnson; Ashish Kumar Pandey (SIAM J. Math. Anal., 2024)

Orbital Stability of Smooth Solitary Waves for the Novikov Equation. - Brett Ehrman; Mathew A. Johnson; Stéphane Lafortune (J. Nonlinear Sci., 2024)