Modulational instability in the Whitham equation for water waves VM Hur, MA Johnson Studies in Applied Mathematics 134 (1), 120-143, 2015 | 79 | 2015 |

Behavior of periodic solutions of viscous conservation laws under localized and nonlocalized perturbations MA Johnson, P Noble, LM Rodrigues, K Zumbrun Inventiones mathematicae 197 (1), 115-213, 2014 | 78 | 2014 |

An index theorem for the stability of periodic travelling waves of Korteweg–de Vries type JC Bronski, MA Johnson, T Kapitula Proceedings of the Royal Society of Edinburgh Section A: Mathematics 141 (6 …, 2011 | 77* | 2011 |

Nonlinear stability of periodic traveling wave solutions of the generalized Korteweg–de Vries equation MA Johnson SIAM Journal on Mathematical Analysis 41 (5), 1921-1947, 2009 | 77 | 2009 |

The modulational instability for a generalized Korteweg–de Vries equation JC Bronski, MA Johnson Archive for rational mechanics and analysis 197, 357-400, 2010 | 76 | 2010 |

Nonlinear modulational stability of periodic traveling-wave solutions of the generalized Kuramoto–Sivashinsky equation B Barker, MA Johnson, P Noble, LM Rodrigues, K Zumbrun Physica D: Nonlinear Phenomena 258, 11-46, 2013 | 67 | 2013 |

Modulational instability in equations of KdV type JC Bronski, VM Hur, MA Johnson New approaches to nonlinear waves, 83-133, 2016 | 65 | 2016 |

Nonlinear stability of periodic traveling wave solutions of systems of viscous conservation laws in the generic case MA Johnson, K Zumbrun Journal of Differential Equations 249 (5), 1213-1240, 2010 | 52 | 2010 |

Stability of small periodic waves in fractional KdV-type equations MA Johnson SIAM Journal on Mathematical Analysis 45 (5), 3168-3193, 2013 | 48 | 2013 |

Nonlinear stability of spatially-periodic traveling-wave solutions of systems of reaction–diffusion equations MA Johnson, K Zumbrun Annales de l'Institut Henri Poincare (C) Non Linear Analysis 28 (4), 471-483, 2011 | 48* | 2011 |

Nonlocalized modulation of periodic reaction diffusion waves: the Whitham equation MA Johnson, P Noble, LM Rodrigues, K Zumbrun Archive for Rational Mechanics and Analysis 207 (2), 669-692, 2013 | 46 | 2013 |

An instability index theory for quadratic pencils and applications J Bronski, MA Johnson, T Kapitula Communications in Mathematical Physics 327, 521-550, 2014 | 45 | 2014 |

Stability of periodic traveling waves for nonlinear dispersive equations VM Hur, MA Johnson SIAM Journal on Mathematical Analysis 47 (5), 3528-3554, 2015 | 44 | 2015 |

Nonlinear stability of viscous roll waves MA Johnson, K Zumbrun, P Noble SIAM Journal on Mathematical Analysis 43 (2), 577-611, 2011 | 42* | 2011 |

On the modulation equations and stability of periodic generalized Korteweg–de Vries waves via Bloch decompositions MA Johnson, K Zumbrun, JC Bronski Physica D: Nonlinear Phenomena 239 (23-24), 2057-2065, 2010 | 42 | 2010 |

Nonlocalized modulation of periodic reaction diffusion waves: nonlinear stability MA Johnson, P Noble, LM Rodrigues, K Zumbrun Archive for Rational Mechanics and Analysis 207 (2), 693-715, 2013 | 38 | 2013 |

Spectral stability of periodic wave trains of the Korteweg-de Vries/Kuramoto-Sivashinsky equation in the Korteweg-de Vries limit M Johnson, P Noble, L Rodrigues, K Zumbrun Transactions of the American Mathematical Society 367 (3), 2159-2212, 2015 | 37 | 2015 |

Existence of a highest wave in a fully dispersive two-way shallow water model M Ehrnström, MA Johnson, KM Claassen Archive for Rational Mechanics and Analysis 231, 1635-1673, 2019 | 36 | 2019 |

Modulational instability in the Whitham equation with surface tension and vorticity VM Hur, MA Johnson Nonlinear Analysis: Theory, Methods & Applications 129, 104-118, 2015 | 32 | 2015 |

Convergence of Hill's method for nonselfadjoint operators MA Johnson, K Zumbrun SIAM Journal on Numerical Analysis 50 (1), 64-78, 2012 | 32 | 2012 |