Mathew A. Johnson

Available identifiers

zbMath Open johnson.mathew-aMaRDI QIDQ398675

List of research outcomes

Publication	Date of Publication	Type
Solitary waves in a Whitham equation with small surface tension	2023-12-12	Paper
Subharmonic dynamics of wave trains in the Korteweg‐de Vries/Kuramoto‐Sivashinsky equation	2023-12-12	Paper
Nonlinear modulational dynamics of spectrally stable Lugiato-Lefever periodic waves	2023-10-20	Paper
Nonlinear Subharmonic Dynamics of Spectrally Stable Lugiato-Lefever Periodic Waves	2023-07-03	Paper
Modulational Instability in the Ostrovsky Equation and Related Models	2023-05-14	Paper
Subharmonic dynamics of wave trains in reaction-diffusion systems	2022-02-21	Paper
Stability of traveling wave solutions of nonlinear dispersive equations of NLS type	2021-04-27	Paper
Linear modulational and subharmonic dynamics of spectrally stable Lugiato-Lefever periodic waves	2021-03-11	Paper
On the dynamics of traveling fronts arising in nanoscale pattern formation	2021-01-27	Paper
Generalized solitary waves in the gravity‐capillary Whitham equation	2020-11-30	Paper
On the bifurcation diagram of the capillary-gravity Whitham equation	2020-10-28	Paper
Modulational Instability of Viscous Fluid Conduit Periodic Waves	2020-01-15	Paper
Spectral stability of inviscid roll waves	2019-04-23	Paper
Nondegeneracy and stability of antiperiodic bound states for fractional nonlinear Schrödinger equations	2019-03-26	Paper
Existence of a highest wave in a fully dispersive two-way shallow water model	2019-01-24	Paper
Oscillation estimates of eigenfunctions via the combinatorics of noncrossing partitions	2019-01-09	Paper
Numerical Bifurcation and Spectral Stability of Wavetrains in Bidirectional Whitham Models	2018-10-09	Paper
Stability of viscous St. Venant roll waves: from onset to infinite Froude number limit	2017-05-04	Paper
Modulational instability in the Whitham equation with surface tension and vorticity	2015-11-13	Paper
Note on the stability of viscous roll-waves	2015-10-05	Paper
Stability of Periodic Traveling Waves for Nonlinear Dispersive Equations	2015-09-24	Paper
Modulational Instability in the Whitham Equation for Water Waves	2015-02-25	Paper
Spectral stability of periodic wave trains of the Korteweg-de Vries/Kuramoto-Sivashinsky equation in the Korteweg-de Vries limit	2015-02-02	Paper
Modulational Instability in Equations of KdV Type	2015-01-12	Paper
Behavior of periodic solutions of viscous conservation laws under localized and nonlocalized perturbations	2014-08-15	Paper
An instability index theory for quadratic pencils and applications	2014-04-28	Paper
Nonlinear modulational stability of periodic traveling-wave solutions of the generalized Kuramoto-Sivashinsky equation	2014-04-04	Paper
Stability of Small Periodic Waves in Fractional KdV-Type Equations	2014-01-21	Paper
Nonlocalized modulation of periodic reaction diffusion waves: nonlinear stability	2013-03-27	Paper
Nonlocalized modulation of periodic reaction diffusion waves: the Whitham equation	2013-03-27	Paper
Stability of periodic Kuramoto-Sivashinsky waves	2012-05-18	Paper
Convergence of Hill's Method for Nonselfadjoint Operators	2012-05-04	Paper
An index theorem for the stability of periodic travelling waves of Korteweg–de Vries type	2011-12-28	Paper
Metastability of solitary roll wave solutions of the St. Venant equations with viscosity	2011-10-11	Paper
Nonlinear Stability of Viscous Roll Waves	2011-10-11	Paper
Nonlinear stability of spatially-periodic traveling-wave solutions of systems of reaction-diffusion equations	2011-10-10	Paper
Transverse Instability of Periodic Traveling Waves in the Generalized Kadomtsev–Petviashvili Equation	2011-08-08	Paper
Nonlinear Stability of Periodic Traveling-Wave Solutions of Viscous Conservation Laws in Dimensions One and Two	2011-05-02	Paper
On the modulation equations and stability of periodic generalized Korteweg-de Vries waves via Bloch decompositions	2010-12-14	Paper
On the stability of periodic solutions of the generalized Benjamin-Bona-Mahony equation	2010-11-05	Paper
Nonlinear Stability of Periodic Traveling Wave Solutions of the Generalized Korteweg–de Vries Equation	2010-09-30	Paper
The modulational instability for a generalized Korteweg-de Vries equation	2010-09-10	Paper
Whitham Averaged Equations and Modulational Stability of Periodic Traveling Waves of a Hyperbolic-Parabolic Balance Law	2010-08-27	Paper
Rigorous Justification of the Whitham Modulation Equations for the Generalized Korteweg-de Vries Equation	2010-08-03	Paper
Nonlinear stability of periodic traveling wave solutions of systems of viscous conservation laws in the generic case	2010-07-22	Paper
The Transverse Instability of Periodic Waves in Zakharov-Kuznetsov Type Equations	2010-05-27	Paper
Krein signatures for the Faddeev-Takhtajan eigenvalue problem	2009-09-25	Paper
Eigenvalue estimates for the scattering problem associated to the sine-Gordon equation	2007-09-13	Paper

Research outcomes over time

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